A review of peridynamic theory and nonlocal operators along with their computer implementations

This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess th...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Computers & structures Ročník 299; číslo 1; s. 107395
Hlavní autoři: Dorduncu, Mehmet, Ren, Huilong, Zhuang, Xiaoying, Silling, Stewart, Madenci, Erdogan, Rabczuk, Timon
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States Elsevier Ltd 01.08.2024
Elsevier
Témata:
Failure analyses
MATHEMATICS AND COMPUTING
Nonlocal operator method
Numerical analyses
Peridynamic differential operator
Peridynamics
Nonlocal operator method
Failure analyses
Peridynamics
Peridynamic differential operator
Numerical analyses
ISSN:0045-7949
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess their suitability in the framework of material failure simulations by providing an extensive literature review. The research focuses on the bond-based (BB), ordinary state-based (OSB), and non-ordinary state-based (NOSB) PD formulations, offering a thorough understanding of their distinctive characteristics. Moreover, this study presents the importance of the PD operators on the solution of the differential equations. Numerical implementation is a central aspect of this research, providing a detailed flow chart of the computer codes for PD and PD operator models. In order to demonstrate the robustness of the PD formulations, this study presents numerical results, showcasing predictions generated by computer codes that can be accessed online. •Comprehensive review of current state-of-the-art peridynamics (PD).•Comprehensive review of novel methods based on PD- and nonlocal operators.•Extensive comparison of different methods.•Links to source codes and implementations.
AbstractList This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess their suitability in the framework of material failure simulations by providing an extensive literature review. The research focuses on the bond-based (BB), ordinary state-based (OSB), and non-ordinary state-based (NOSB) PD formulations, offering a thorough understanding of their distinctive characteristics. Moreover, this study presents the importance of the PD operators on the solution of the differential equations. Numerical implementation is a central aspect of this research, providing a detailed flow chart of the computer codes for PD and PD operator models. In order to demonstrate the robustness of the PD formulations, this study presents numerical results, showcasing predictions generated by computer codes that can be accessed online.
This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess their suitability in the framework of material failure simulations by providing an extensive literature review. The research focuses on the bond-based (BB), ordinary state-based (OSB), and non-ordinary state-based (NOSB) PD formulations, offering a thorough understanding of their distinctive characteristics. Moreover, this study presents the importance of the PD operators on the solution of the differential equations. Numerical implementation is a central aspect of this research, providing a detailed flow chart of the computer codes for PD and PD operator models. In order to demonstrate the robustness of the PD formulations, this study presents numerical results, showcasing predictions generated by computer codes that can be accessed online. •Comprehensive review of current state-of-the-art peridynamics (PD).•Comprehensive review of novel methods based on PD- and nonlocal operators.•Extensive comparison of different methods.•Links to source codes and implementations.
ArticleNumber 107395
Author Madenci, Erdogan
Ren, Huilong
Zhuang, Xiaoying
Silling, Stewart
Rabczuk, Timon
Dorduncu, Mehmet
Author_xml – sequence: 1
  givenname: Mehmet
  surname: Dorduncu
  fullname: Dorduncu, Mehmet
  organization: Department of Mechanical Engineering, Erciyes University, Kayseri, Turkey
– sequence: 2
  givenname: Huilong
  surname: Ren
  fullname: Ren, Huilong
  organization: Institute of Photonics, Department of Mathematics and Physics, Leibniz University Hannover, Germany
– sequence: 3
  givenname: Xiaoying
  surname: Zhuang
  fullname: Zhuang, Xiaoying
  organization: Institute of Photonics, Department of Mathematics and Physics, Leibniz University Hannover, Germany
– sequence: 4
  givenname: Stewart
  surname: Silling
  fullname: Silling, Stewart
  organization: Center for Computing Research, Sandia National Laboratories, Albuquerque, NM, USA
– sequence: 5
  givenname: Erdogan
  surname: Madenci
  fullname: Madenci, Erdogan
  organization: Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ, USA
– sequence: 6
  givenname: Timon
  surname: Rabczuk
  fullname: Rabczuk, Timon
  email: timon.rabczuk@uni-weimar.de
  organization: Institute of Structural Mechanics, Bauhaus-Universitat Weimar, Germany
BackLink https://www.osti.gov/biblio/2350738$$D View this record in Osti.gov
BookMark eNqNkD1PwzAQhj0UiRb4DVjsKXbsfA0MVcWXVIkFZstxztRVYle2S9V_j0MQAwtMJ52e9-7Vs0Az6ywgdE3JkhJa3u6Wyg37EP1BLXOS87StWFPM0JwQXmRVw5tztAhhRwgpOSFzJFbYw4eBI3Ya78Gb7mTlYBSOW3D-hKXtcHrSOyV77BIgo_MBy97Zd3w0cTuCxuPx7yGCx2bY9zCAjTIaZ8MlOtOyD3D1PS_Q28P96_op27w8Pq9Xm0yxhsYsl7zMmwKaoi04kwxqqbWqmaZlV0PNgLJCtx00pVZ5w2vVcsg7oB20vK0KzS7QzXTXhWhEUCaC2ipnLagoclYkD3WC7iZIeReCBy0S99Uzeml6QYkYNYqd-NEoRo1i0pjy1a_83ptB-tM_kqspCclB0u3HimAVdMaPDTtn_rzxCTqjmgg
CitedBy_id crossref_primary_10_1016_j_powtec_2024_120109
crossref_primary_10_1016_j_enganabound_2025_106378
crossref_primary_10_1007_s00419_024_02690_7
crossref_primary_10_1016_j_compstruct_2025_118887
crossref_primary_10_1016_j_ijimpeng_2024_105110
crossref_primary_10_1016_j_cma_2024_117260
crossref_primary_10_1016_j_ijmecsci_2025_110240
crossref_primary_10_1016_j_engfracmech_2025_111294
crossref_primary_10_1007_s00339_025_08559_y
crossref_primary_10_1007_s10999_025_09783_3
crossref_primary_10_1016_j_ijimpeng_2025_105255
crossref_primary_10_1016_j_tafmec_2024_104696
crossref_primary_10_1007_s00466_025_02667_5
crossref_primary_10_1016_j_compstruc_2025_107764
crossref_primary_10_1016_j_ijimpeng_2025_105457
crossref_primary_10_1080_00207160_2025_2502436
crossref_primary_10_1080_15376494_2024_2375028
crossref_primary_10_1016_j_advengsoft_2025_103924
crossref_primary_10_1016_j_ijimpeng_2025_105437
crossref_primary_10_1016_j_ijimpeng_2025_105458
crossref_primary_10_1016_j_dt_2025_07_025
crossref_primary_10_1016_j_jsv_2024_118642
crossref_primary_10_1007_s42102_024_00122_2
crossref_primary_10_1016_j_engfracmech_2024_110536
crossref_primary_10_1016_j_apm_2024_05_032
crossref_primary_10_1016_j_compstruct_2024_118450
crossref_primary_10_1016_j_ijimpeng_2024_105102
crossref_primary_10_1016_j_ijmecsci_2024_109800
crossref_primary_10_1016_j_cma_2025_117991
crossref_primary_10_1016_j_tafmec_2025_105060
crossref_primary_10_1016_j_enganabound_2025_106384
crossref_primary_10_1016_j_ijimpeng_2024_105182
crossref_primary_10_1007_s00603_024_04153_5
crossref_primary_10_1007_s00366_024_02092_x
crossref_primary_10_1002_nag_70062
crossref_primary_10_1007_s43452_025_01229_z
crossref_primary_10_1007_s00419_025_02816_5
crossref_primary_10_1016_j_ijimpeng_2025_105268
crossref_primary_10_1016_j_ijimpeng_2025_105388
crossref_primary_10_1016_j_ijimpeng_2025_105487
crossref_primary_10_1016_j_gete_2025_100747
crossref_primary_10_1016_j_ijimpeng_2025_105226
crossref_primary_10_1007_s40571_025_01055_3
crossref_primary_10_1016_j_compgeo_2025_107587
crossref_primary_10_1016_j_enggeo_2025_108365
Cites_doi 10.1007/s00366-022-01763-x
10.1016/j.engfracmech.2017.12.019
10.1016/j.tafmec.2021.103068
10.1016/j.tafmec.2023.103757
10.1016/j.compstruct.2017.08.071
10.1016/j.engfracmech.2019.106568
10.1016/j.tafmec.2023.103761
10.1177/10812865211004671
10.1016/j.jmps.2016.05.017
10.1016/j.oceaneng.2020.107817
10.1016/j.mechrescom.2018.04.004
10.1016/j.compstruct.2021.115058
10.1002/zamm.201600242
10.1016/j.tafmec.2021.102925
10.3390/ma16114074
10.1016/j.compstruct.2018.09.034
10.1016/j.cma.2019.04.043
10.1115/1.4047746
10.1007/s42102-020-00049-4
10.1016/j.ijrmms.2020.104383
10.1016/j.ijsolstr.2016.01.019
10.1016/j.oceaneng.2023.114582
10.1016/j.cma.2023.115904
10.1016/j.ijsolstr.2014.05.027
10.1016/j.apm.2022.11.010
10.1016/j.cma.2015.03.003
10.1016/j.cma.2019.01.008
10.1016/j.cma.2017.03.020
10.1016/j.cma.2020.113584
10.1007/s42102-020-00044-9
10.1007/s00466-021-02057-7
10.1016/j.tafmec.2022.103489
10.1016/j.cma.2019.112636
10.1016/j.cma.2021.114400
10.1016/j.ijsolstr.2014.09.003
10.1016/j.compstruc.2024.107325
10.1016/j.tafmec.2021.103115
10.1016/j.engfracmech.2020.107042
10.1016/j.engfracmech.2022.108991
10.1016/j.ijheatmasstransfer.2021.122327
10.1016/j.enganabound.2022.05.011
10.3390/ma14113032
10.1016/j.ultras.2022.106853
10.1016/j.compstruct.2019.01.108
10.1016/j.ijrmms.2022.105247
10.1016/j.tafmec.2021.102960
10.1002/nme.6691
10.1016/j.cma.2012.01.016
10.1016/j.ijimpeng.2015.06.019
10.15282/jmes.13.4.2019.02.0458
10.1016/j.euromechsol.2023.104966
10.1016/j.ijrmms.2022.105199
10.1016/j.compstruct.2011.07.019
10.1002/nme.2696
10.1016/j.compstruct.2016.02.018
10.1007/s42452-020-03784-x
10.1002/nme.6182
10.1002/nme.7081
10.1016/j.engfracmech.2018.06.019
10.1016/j.jcp.2022.111192
10.1590/1679-78255022
10.1002/nme.2725
10.1016/j.ijmecsci.2020.105710
10.1007/s11012-019-00975-8
10.1016/j.compstruct.2021.114743
10.1016/j.mechrescom.2018.09.003
10.1016/j.compstruc.2017.03.019
10.1016/j.engfracmech.2020.107086
10.1007/s00366-022-01641-6
10.1016/j.ijthermalsci.2023.108360
10.1016/j.cma.2013.05.001
10.1016/j.enganabound.2023.03.013
10.1016/j.jnucmat.2020.152369
10.1007/s00466-022-02148-z
10.1016/j.enganabound.2021.11.016
10.1016/j.compstruct.2020.113006
10.1016/j.cma.2023.116081
10.1016/j.euromechsol.2020.104186
10.1016/j.oceaneng.2023.114322
10.1016/j.tafmec.2021.103082
10.1016/j.cma.2022.115339
10.1016/j.engfracmech.2022.108997
10.1016/j.cma.2021.114012
10.1016/j.finel.2020.103480
10.1016/j.apm.2020.12.004
10.1016/j.ijplas.2022.103462
10.1016/j.jcp.2019.109075
10.1016/j.ijengsci.2017.09.004
10.1016/j.oceaneng.2021.109815
10.1016/j.cma.2022.114704
10.1016/j.mechmat.2022.104433
10.1016/j.engfracmech.2019.106613
10.1007/s11012-020-01276-1
10.1016/j.jcp.2022.111509
10.1016/j.jcp.2022.111376
10.1007/s00707-019-02471-2
10.1007/s11012-019-01098-w
10.1016/j.cma.2019.01.032
10.1016/j.compscitech.2019.107770
10.1016/j.ijsolstr.2015.04.040
10.5545/sv-jme.2021.7289
10.1007/s00161-018-0671-5
10.1016/j.cma.2024.116873
10.1016/j.ijimpeng.2016.09.003
10.1016/j.cma.2022.115559
10.1016/j.tafmec.2022.103393
10.1016/j.mechrescom.2022.104000
10.1016/j.cnsns.2015.10.003
10.1016/j.camwa.2015.12.006
10.1016/j.tafmec.2020.102832
10.1016/j.cma.2020.113553
10.1016/j.enggeo.2017.05.001
10.1016/j.ijsolstr.2018.06.015
10.1016/j.ijrmms.2021.104857
10.1016/j.ijimpeng.2015.08.006
10.1016/j.ijmecsci.2017.05.019
10.1016/j.cma.2015.02.008
10.1016/j.na.2016.02.024
10.1016/j.cma.2010.10.014
10.1016/j.cma.2017.07.034
10.1016/j.probengmech.2015.11.001
10.1016/j.tafmec.2021.103026
10.1016/j.cma.2020.113132
10.1016/j.cma.2016.04.020
10.1007/s00466-015-1123-8
10.1016/j.enggeo.2017.02.001
10.1016/j.compstruc.2015.08.015
10.1016/j.engfracmech.2022.108436
10.1016/j.compstruct.2021.113673
10.1007/s40571-021-00443-9
10.1016/j.jmps.2022.104947
10.1016/j.jcp.2023.112209
10.1016/j.mechrescom.2023.104130
10.1016/j.nucengdes.2006.10.002
10.1016/j.cma.2021.114294
10.1007/s10704-016-0126-6
10.1016/j.cma.2016.12.031
10.1016/j.cma.2017.11.022
10.1016/j.engfracmech.2018.11.048
10.1016/j.tafmec.2020.102852
10.1142/S1758825120500313
10.1002/nme.3196
10.1016/j.ijsolstr.2017.10.022
10.1002/nme.6555
10.1016/j.jcp.2021.110267
10.1016/j.enganabound.2022.12.001
10.1016/j.engfracmech.2021.107863
10.1016/j.jhydrol.2015.10.062
10.1002/nme.6961
10.1016/j.eml.2018.07.005
10.1016/j.cma.2018.11.025
10.1016/j.engfracmech.2019.106623
10.1016/j.engfracmech.2022.108557
10.3390/ma15217762
10.1016/j.engfracmech.2022.108834
10.1016/j.euromechsol.2018.09.007
10.1016/j.camwa.2017.06.045
10.1155/2017/1750876
10.1016/j.engfracmech.2021.107862
10.1016/j.compstruct.2020.112613
10.1016/j.cma.2012.07.006
10.1016/j.cma.2021.114422
10.1016/j.physa.2015.05.099
10.1016/j.cma.2019.112592
10.1016/j.engfracmech.2017.04.022
10.1615/IntJMultCompEng.2011002407
10.1615/IntJMultCompEng.2011002793
10.1016/j.engfracmech.2020.107074
10.1016/j.ijplas.2021.102991
10.1016/j.cma.2020.113479
10.1016/j.engfracmech.2022.108939
10.1016/j.oceaneng.2020.108081
10.1016/j.commatsci.2013.07.008
10.1016/j.ijimpeng.2021.103918
10.1016/j.jhydrol.2020.125648
10.1016/j.oceaneng.2022.112528
10.1177/1081286518803411
10.1016/j.cma.2018.05.007
10.1016/j.cma.2021.113716
10.1016/j.engfracmech.2017.04.003
10.1016/j.ijsolstr.2018.02.026
10.1016/j.compgeo.2023.105372
10.1007/s10409-019-00894-7
10.1016/j.cma.2023.115896
10.1016/j.jmps.2019.103862
10.1002/htj.21317
10.1016/j.engfracmech.2021.107676
10.1016/j.cma.2017.03.043
10.1016/j.soildyn.2023.107903
10.1007/s11440-022-01766-4
10.1016/j.ijsolstr.2020.06.022
10.1016/j.ijimpeng.2022.104471
10.1007/s00161-020-00905-0
10.1016/j.engfracmech.2022.108917
10.1016/j.tafmec.2023.103980
10.1016/j.cma.2022.114786
10.1016/j.applthermaleng.2022.118294
10.1016/j.engfracmech.2020.107463
10.1051/m2an/2010040
10.1007/s00466-022-02147-0
10.1016/j.engfracmech.2020.107483
10.1016/j.cma.2021.113809
10.1007/s00366-021-01540-2
10.1016/j.engfracmech.2022.108392
10.1016/j.compgeo.2023.105368
10.1016/j.cnsns.2020.105687
10.1016/j.cma.2021.114074
10.1016/j.eml.2022.101647
10.1016/j.engfracmech.2020.107316
10.1016/j.engfracmech.2021.107614
10.1016/j.engfracmech.2017.07.031
10.1016/j.euromechsol.2021.104380
10.1016/j.advengsoft.2022.103124
10.1016/j.jmps.2013.10.011
10.1016/j.engfracmech.2020.107454
10.1016/j.advengsoft.2022.103360
10.1002/nme.6748
10.1016/j.mechrescom.2016.06.006
10.1007/s00466-020-01872-8
10.1016/j.cma.2019.112621
10.1016/j.engfracmech.2022.108681
10.1016/j.enganabound.2020.08.012
10.1002/nme.5973
10.1016/j.engfracmech.2022.108549
10.1002/nme.6234
10.1016/j.cma.2023.116230
10.1016/j.compstruct.2009.02.015
10.1016/j.ijmecsci.2021.106413
10.1016/j.cma.2023.116054
10.1016/j.compstruct.2015.07.047
10.1016/j.engfracmech.2018.02.006
10.1007/s40571-020-00337-2
10.1007/s00366-022-01699-2
10.1016/j.tafmec.2021.102947
10.1016/j.tafmec.2022.103369
10.1016/j.jmps.2021.104716
10.1002/nme.6542
10.1016/j.jmps.2021.104376
10.1016/j.engfracmech.2019.04.020
10.1016/j.finmec.2021.100045
10.1016/j.petrol.2016.05.032
10.1016/j.compstruct.2021.114734
10.1016/j.apm.2018.11.013
10.1016/j.ijimpeng.2020.103740
10.1007/s00466-017-1439-7
10.1016/j.petrol.2020.107252
10.1016/j.oceaneng.2022.112272
10.1016/j.engfracmech.2021.107909
10.1016/j.finel.2007.08.012
10.1002/num.22167
10.1002/nme.2439
10.1016/j.cma.2018.03.038
10.1016/j.cma.2020.113398
10.1016/j.compstruct.2013.10.018
10.1016/j.tafmec.2020.102573
10.1016/j.tafmec.2023.103912
10.1016/j.compositesb.2018.08.084
10.1007/s11831-021-09549-y
10.1016/j.cma.2022.115193
10.1155/2019/5105612
10.1016/j.cma.2022.115511
10.4208/nmtma.OA-2022-0004s
10.1016/j.jmps.2015.09.016
10.1115/1.4034319
10.1016/j.camwa.2013.07.022
10.1016/j.ijmecsci.2019.06.008
10.1002/nme.7060
10.1061/(ASCE)EM.1943-7889.0001876
10.1016/j.cma.2020.113176
10.1016/j.ijfatigue.2022.107023
10.1016/j.compstruct.2015.05.079
10.1016/j.enganabound.2020.03.016
10.1016/j.cma.2021.114062
10.1016/j.compstruct.2019.111481
10.1007/s40571-021-00433-x
10.1016/j.compstruc.2004.11.026
10.1016/j.jmps.2012.02.009
10.1016/j.ijimpeng.2022.104387
10.1016/j.cma.2020.113101
10.1016/j.cma.2017.04.016
10.1016/j.jmps.2022.104992
10.1016/j.cma.2022.114666
10.1016/j.engfailanal.2019.05.004
10.1016/j.jmps.2020.104161
10.1016/j.ijengsci.2023.103866
10.1016/j.engfracmech.2016.11.004
10.1016/j.compstruct.2021.114728
10.1016/j.cma.2017.01.026
10.1016/j.compstruc.2018.11.007
10.1016/j.compstruct.2019.03.035
10.1016/j.engfracmech.2022.108338
10.1007/s00466-019-01695-2
10.1016/j.engfracmech.2021.108179
10.1016/j.cma.2020.113298
10.1016/j.engfracmech.2022.108470
10.1002/num.21931
10.1016/j.jcp.2020.109760
10.1016/j.cma.2022.115150
10.1016/j.tafmec.2020.102872
10.1016/j.enganabound.2023.02.042
10.1016/j.jcp.2021.110919
10.1016/j.engfracmech.2017.11.039
10.1016/j.ijsolstr.2008.10.029
10.1016/j.compstruc.2014.12.011
10.1007/s10409-019-00873-y
10.1007/s11709-017-0434-6
10.1016/j.compstruct.2021.113886
10.1016/j.jeurceramsoc.2017.12.039
10.1016/j.jcp.2013.12.039
10.1016/j.engfracmech.2018.03.033
10.1016/j.finmec.2022.100124
10.1115/1.4054221
10.1016/j.ijmecsci.2022.107170
10.1016/j.tafmec.2023.104152
10.1016/j.tafmec.2020.102841
10.1016/j.cma.2015.12.024
10.1016/j.tws.2019.106468
10.1016/j.cma.2021.114520
10.1016/j.ijfatigue.2017.06.008
10.1002/nme.5257
10.1016/j.euromechsol.2020.104174
10.1016/j.cma.2018.05.002
10.1007/s42102-018-0004-x
10.1016/j.cma.2022.115208
10.1016/j.compstruct.2021.114788
10.1016/j.cma.2016.07.023
10.1016/j.ijmecsci.2020.105866
10.1016/j.compstruc.2022.106847
10.1016/j.commatsci.2015.11.008
10.1016/j.ijmecsci.2019.03.033
10.1016/j.jcp.2017.07.031
10.1016/j.wavemoti.2015.08.005
10.1007/s42102-023-00115-7
10.1007/s10704-018-0317-4
10.1016/j.ijheatmasstransfer.2021.121195
10.3390/geosciences9100428
10.1007/s00466-021-02072-8
10.1016/j.enganabound.2019.04.005
10.1177/1475921719833754
10.1016/j.ijadhadh.2020.102631
10.1061/(ASCE)MT.1943-5533.0004146
10.1016/j.cpc.2008.06.011
10.1016/S0022-5096(99)00029-0
10.1016/j.cma.2022.115573
10.1016/j.tafmec.2010.08.001
10.1007/s10659-007-9125-1
10.1007/s10704-014-9970-4
10.1016/j.cma.2022.115318
10.1016/j.compstruct.2022.116528
10.1016/j.cma.2023.115948
10.1016/j.engstruct.2021.112748
10.1016/j.microrel.2011.05.011
10.1016/j.tafmec.2022.103731
ContentType Journal Article
Copyright 2024 The Author(s)
Copyright_xml – notice: 2024 The Author(s)
CorporateAuthor Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
CorporateAuthor_xml – name: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
DBID 6I.
AAFTH
AAYXX
CITATION
OTOTI
DOI 10.1016/j.compstruc.2024.107395
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
CrossRef
OSTI.GOV
DatabaseTitle CrossRef
DatabaseTitleList

DeliveryMethod fulltext_linktorsrc
Discipline Engineering
ExternalDocumentID 2350738
10_1016_j_compstruc_2024_107395
S004579492400124X
GroupedDBID --K
--M
-~X
.DC
.~1
0R~
1B1
1~.
1~5
4.4
457
4G.
5GY
5VS
6I.
7-5
71M
8P~
9JN
AABNK
AACTN
AAEDT
AAEDW
AAFTH
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AATTM
AAXKI
AAXUO
AAYFN
ABAOU
ABBOA
ABJNI
ABMAC
ACDAQ
ACGFS
ACIWK
ACRLP
ACZNC
ADBBV
ADEZE
ADGUI
ADTZH
AEBSH
AECPX
AEIPS
AEKER
AENEX
AFJKZ
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHJVU
AHZHX
AIALX
AIEXJ
AIGVJ
AIKHN
AITUG
AKRWK
ALMA_UNASSIGNED_HOLDINGS
AMRAJ
ANKPU
AOUOD
ARUGR
AXJTR
BJAXD
BKOJK
BLXMC
BNPGV
CS3
DU5
EBS
EFJIC
EO8
EO9
EP2
EP3
F5P
FDB
FIRID
FNPLU
FYGXN
G-Q
GBLVA
GBOLZ
IHE
J1W
JJJVA
KOM
LG9
LY7
M41
MHUIS
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
PQQKQ
Q38
RNS
ROL
RPZ
RXW
SDF
SDG
SDP
SES
SEW
SPC
SPCBC
SPD
SSH
SST
SSV
SSW
SSZ
T5K
TN5
XPP
ZMT
~02
~G-
29F
6TJ
9DU
AAQXK
AAYWO
AAYXX
ABDPE
ABEFU
ABFNM
ABWVN
ABXDB
ACKIV
ACLOT
ACNNM
ACRPL
ACVFH
ADCNI
ADIYS
ADJOM
ADMUD
ADNMO
AEUPX
AFPUW
AGQPQ
AI.
AIGII
AIIUN
AKBMS
AKYEP
APXCP
ASPBG
AVWKF
AZFZN
CITATION
EFKBS
EFLBG
EJD
FEDTE
FGOYB
G-2
HLZ
HVGLF
HZ~
OHT
R2-
SBC
SET
T9H
TAE
VH1
WUQ
ZY4
~HD
OTOTI
ID FETCH-LOGICAL-c391t-2a46295e95b543a3e8affc83f16d8e83e135fbde96fc2948cb4e2de1deb4b75f3
ISICitedReferencesCount 57
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001240783900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0045-7949
IngestDate Mon Mar 17 03:27:50 EDT 2025
Sat Nov 29 04:10:46 EST 2025
Tue Nov 18 21:31:42 EST 2025
Sun Apr 06 06:55:03 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Keywords Nonlocal operator method
Failure analyses
Peridynamics
Peridynamic differential operator
Numerical analyses
Language English
License This is an open access article under the CC BY-NC license.
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c391t-2a46295e95b543a3e8affc83f16d8e83e135fbde96fc2948cb4e2de1deb4b75f3
Notes NA0003525
SAND-2024-06032J
USDOE National Nuclear Security Administration (NNSA)
OpenAccessLink https://dx.doi.org/10.1016/j.compstruc.2024.107395
ParticipantIDs osti_scitechconnect_2350738
crossref_citationtrail_10_1016_j_compstruc_2024_107395
crossref_primary_10_1016_j_compstruc_2024_107395
elsevier_sciencedirect_doi_10_1016_j_compstruc_2024_107395
PublicationCentury 2000
PublicationDate 2024-08-01
PublicationDateYYYYMMDD 2024-08-01
PublicationDate_xml – month: 08
  year: 2024
  text: 2024-08-01
  day: 01
PublicationDecade 2020
PublicationPlace United States
PublicationPlace_xml – name: United States
PublicationTitle Computers & structures
PublicationYear 2024
Publisher Elsevier Ltd
Elsevier
Publisher_xml – name: Elsevier Ltd
– name: Elsevier
References Laurien, Javili, Steinmann (br0870) 2023; 10
Hattori, Hobbs, Orr (br0120) December 2021; 28
Oterkus, Madenci, Oterkus (br2050) 2020
Madenci, Roy, Behera (br0250) 2022
Liu, Fang, Fu, Yan, Meng, Liang (br1250) 2022; 220
Xu, Askari, Weckner, Razi, Silling (br0820) 2007
Mossaiby, Shojaei, Zaccariotto, Galvanetto (br4060) Oct 2017; 74
Ren, Zhuang, Cai, Rabczuk (br0770) Dec 2016; 108
Roy, Pathrikar, Deepu, Roy (br2950) 2017
Han, Azdoud, Lubineau (br0920) Jan 2014; 81
Dorduncu, Apalak (br1990) September 2020; 101
Hu, Ha, Bobaru (br0890) 2012; 217
Zhao, Tang, Xue (br1660) Dec 2018; 12
Zeng, Zhang, Zhang, Liu, Chen (br2840) 2022; 393
Agwai, Guven, Madenci (br3410) Dec 2011; 51
Fan, Bergel, Li (br3820) 2016; 87
Saxena, Sarkar, Roy (br1450) Feb 2023; 262
Li, Hao, Zhen (br0300) 2018; 339
Qin, Yang, Chen (br3190) 2022; 135
Das, Deb, Pramanik (br3850) Jul 2022; 9
Xia, Oterkus, Oterkus (br1670) Jun 2021; 113
Jung, Seok (br2430) Oct 2017; 103
Ma, Zhou (br3870) 2022; 272
Nguyen, Oterkus, Oterkus (br2400) Dec 2021; 116
Ren, Zhuang, Trung, Rabczuk (br0530) 2021
Chen, Gunzburger (br3040) 2011; 200
Zhao, Lu, Zhang, Du (br2570) 2021; 129
Li, Zhu (br1750) 2021; 222
Madenci, Dorduncu, Barut, Phan (br2200) 2019
Han, Lubineau, Azdoud, Askari (br2990) 2016; 301
Li, Huang, Yan, Xu (br2010) Jan 2022; 279
Delgoshaie, Meyer, Jenny, Tchelepi (br3780) Dec 2015; 531
Kilic, Madenci (br0720) Jun 2010; 53
Madenci (br0200) Oct 2017; 97
Sun, Zhang, Liew (br3700) 2022; 401
Lu, Oterkus, Oterkus, Zhang (br2550) Dec 2021; 116
Silling, Epton, Weckner, Xu, Askari (br0020) Aug 2007; 88
Luo, Lu, Hu, Xue (br1610) Aug 2022; 342
Wu, Ren (br0380) 2015; 291
Gerstle (br0040) 2015
Diana, Bacigalupo, Lepidi, Gambarotta (br1690) Mar 2022; 392
Dorduncu (br1950) Jun 2019; 218
Gonuleri, Viqueira-Moreira, Leigh, Can, Watson, Brehm (br1160) January 2023
Yan, Li, Kan, Zhang, Lai (br3300) Aug 2020; 368
Qin, Yang, Chen, Xia (br3660) 2021; 247
DElia, Gunzburger (br0620) 2013; 66
Dorduncu, Barut, Madenci (br2650) January 2015
Xia, Oterkus, Oterkus (br1680) 2020
Hattori, Trevelyan, Coombs (br1070) September 2018; 339
Liu, Bie, Cui, Cui (br1210) 2020
Hu, Feng, Li, Sheng, Zhang (br2080) 2020; 225
Candas, Oterkus, Imrak (br1810) Jan 2021; 143
Cheng, Zhang, Wang, Bobaru (br1730) Dec 2015; 133
Chen, Yu (br2810) Nov 2022; 401
Yan, Sedighi, Jivkov (br3800) 2020; 591
Liu, Gu, Lu, Xia, Madenci, Zhang (br3730) Mar 2023; 406
Rao, Tang, Li, Ye, Hoover, Zhang (br3830) Apr 2022; 34
Guan, Yan, Guo (br2540) 2023; 100
Liu, Han, Deng, Lin (br1330) May 2023; 16
Bie, Ren, Yan, Chen (br2760) 2023; 126
Liu, Wu, Madenci, Yu, Hu (br3340) 2022; 276
Agrawal, Zheng, Foster, Sharma (br2930) 2020; 192
Candas, Oterkus, Imrak (br1820) Feb 2023; 39
Nguyen-Thanh, Zhang, Li, Wu, Li, Zhou (br1280) 2023; 414
Bazilevs, Behzadinasab, Foster (br1580) 2022; 166
Yang, Gu, Xia, Zhang (br3610) 2022; 264
Li, Huang, Rabczuk, Ren (br0680) 2023; 39
He, Huang, Jiang (br1780) Feb 2021; 111
Tu, Li (br3550) 2017; 348
Hu, Carvalho, Madenci (br0930) 2015; 132
Zhang, Han, Yang, Cui (br2600) Jan 2023; 403
Yang, Oterkus, Oterkus (br1800) June 2021; 3
Behzadinasab, Foster (br0400) Apr 2020; 137
Buryachenko (br1740) Oct 2020; 202
Sun, Li, Gu, Ou (br3130) 2019; 120
Yang, Oterkus, Oterkus (br2030) 2020
Zhang, Nguyen-Thanh, Li, Zhang, Li, Zhou (br3050) 2023; 410
Vieira, Arau'jo (br3430) 2023; 412
Li, Hao, Yu, Zhen (br0460) Feb 2020; 121
Silling (br4080) 2003
Dorduncu, Barut, Madenci, Phan (br3010) 2017
Dorduncu, Kutlu, Madenci, Rabczuk (br1850) Feb 2023; 39
Birner, Diehl, Lipton, Schweitzer (br2380) Mar 2023; 176
Alebrahim (br1920) Apr 2019; 214
Askari, Xu, Silling (br0810) 2006
Du, Tao, Tian, Yang (br0610) 2016; 310
Wang, Sheng, Luo (br2440) Oct 2022; 121
Du, Zhou (br0630) Mar-Apr 2011; 45
Dorduncu, Kaya, Ergin (br1970) May 2020; 12
Jiang, Shen, Cheng (br3120) Dec 2020; 240
Ladanyi, Jenei (br1350) 2009
Zhan, Yao, Han (br2700) Oct 2020; 250
Ouchi, Katiyar, York, Foster, Sharma (br3740) Mar 2015; 55
Zhou, Wang, Shou (br3180) Aug 2020; 132
Diyaroglu, Oterkus, Oterkus, Madenci (br1880) Sep 2015; 69
D'Elia, Bochev (br2750) 2021; 9
Xu, D'Elia, Foster (br3910) Sec 2021; 386
Wang, Tanaka, Oterkus, Oterkus (br2520) Apr 2023; 124
Zhang, Li, Ye, Zheng (br3810) Oct 2019; 64
Zhang, Yu, Deng (br3240) Jun 2023; 125
Gonuleri, Guven (br1180) January 2024
Oterkus, Madenci, Oterkus (br3650) Jul 2017; 225
Liu, Xue, Li (br1390) Mar 2023; 2023
Yang, Yang, Zheng, Tannant (br3350) Dec 2022; 160
Du, Zhang (br2280) 2023; 488
Gao, Oterkus (br3260) 2021; 255
Madenci, Barut, Phan (br0180) September 2021; 3
Sun, Sundararaghavan (br1090) Oct 2014; 51
Dorduncu, Olmus, Rabczuk (br1770) Jan 2022; 279
Dorduncu (br1980) November 2020; 185
Altay, Dorduncu, Kadioglu (br0790) January 2024
Foster, Xu (br0410) Jun 2018; 141
Menon, Song (br3670) Oct 2022; 400
Silling, Fermen-Coker (br3360) Jun 2021; 113
Wang, Sheng, Luo (br2420) Apr 2022; 264
Asgari, Kouchakzadeh (br1410) May 2019; 54
Qin, Yang, Chen (br3620) 2022; 141
Silling (br0190) Aug 2017; 322
Nguyen-Thanh, Nguyen-Xuan, Li (br1290) 2024; 296
Mutnuri, Gopalakrishnan (br2210) Dec 2018; 94
Gu, Lin, Wang, Huang, Li (br0500) Sep 2023; 172
Shojaei, Hermann, Seleson, Silling, Rabczuk, Cyron (br2360) Mar 2023; 407
Katiyar, Foster, Ouchi, Sharma (br3540) Mar 2014; 261
Guan, Gunzburger (br4200) Mar 2015; 31
Heo, Yang, Xia, Oterkus, Oterkus (br2040) Oct 2020; 214
Bobaru, Ha (br0750) 2011; 9
Shen, Xia, Hu, Zheng (br2120) Mar-Apr 2021; 86
Safari-Naderi, Shakouri, Ghasemi-Ghalebahman (br1080) 2023; 35
Ren, Wu, Askari (br2640) 2017; 99
Gu, Madenci, Zhang (br0370) 2018; 190
Xia, Wang, Zheng, Li, Shen (br1900) Jan 2023; 277
Deshmukh, Breitzman, Dayal (br1710) 2022; 167
Wang, Oterkus, Oterkus (br2220) 2020; 28
Gerstle, Sau, Silling (br1520) Jul 2007; 237
Rabczuk, Ren (br1630) 2017; 225
Macedo, Pourmatin, Breitzman, Dayal (br3320) 2018; 23
Hu, Chen, Spencer, Madenci (br0800) Jun 2018; 197
Tian, Ju, Du (br3770) Jun 2015; 289
Butt, Timothy, Meschke (br2330) Nov 2017; 60
Liu, Zhang, Zhang, Ye, Zhang, Zheng (br1240) 2022; 266
Lakshmanan, Luo, Javaheri, Sundararaghavan (br1340) Jul 2021; 142
D'Elia, Perego, Bochev, Littlewood (br2710) Jun 2016; 71
Madenci, Barut, Dorduncu (br3370) May 2019
Cao, Qin, Li, Shang, Li, Liu (br2410) Aug 2022; 120
Behzadinasab, Alaydin, Trask, Bazilevs (br2160) 2022; 389
Bazazzadeh, Zaccariotto, Galvanetto (br2490) 2019; 16
Altay, Dorduncu, Kadioglu (br2530) December 2023; 128
Menon, Song (br3750) Oct 2019; 9
Dai, Xie, Jiang (br2720) 2023; 279
Jiang, Shen, Pan (br1870) 2022; 262
Zhang, Li, Zhang, Peng (br2140) 2021; 386
Qin, Yang, Jia (br2770) 2023; 147
Abdoh, Yin, Kodur, Liew (br4120) Sep 2022; 399
Gu, Zhang, Madenci, Xia (br0240) Dec 2019; 357
Chen, Gu, Zhang, Xia (br1530) Feb 2021; 242
Rahman, Foster (br0390) May 2016; 34
Diyaroglu, Madenci, Stewart, Zoubi (br1700) Dec 2019; 229
Chen, Hu, Spencer (br4110) 2018
Jin, Hwang, Hong (br0490) 2023; 130
Liu, Fang, Liang, Lv (br3000) 2020; 108
Wan, Chen, Chu, Liu (br0430) Oct 2019; 35
Vieira, Araujo (br0480) Jul 2022; 270
Zhu, Ni (br4190) Dec 2017; 121
Wang, Li, Tong (br3250) Apr 2022; 52
Gonuleri, Can, Guven (br1170) January 2023
Macek, Silling (br3970) Nov 2007; 43
Lopez, Pellegrino (br2310) Feb 2021; 122
Leng, Tian, Demkowicz, Gomez, Foster (br3590) Mar 2022; 452
Parks, Lehoucq, Plimpton, Silling (br3980) 2008; 179
Sau, Medina-Mendoza, Borbon-Almada (br1620) Sep 2019; 103
Bi, Ju, Tian (br3520) Nov 2022; 15
Dorduncu, Kutlu, Madenci (br1940) February 2022; 281
Liu, Xin (br2920) 2021; 242
Pashazad, Kharazi (br1140) Jun 2019; 156
Kulkarni, Tabarraei (br2370) Mar 2018; 190
Dipasquale, Zaccariotto, Galvanetto (br0760) Nov 2014; 190
Yang, Oterkus, Oterkus (br1790) April 2021; 26
Isiet, Miskovic, Miskovic (br0110) Jan 2021; 147
Gao, Oterkus (br3290) Jan 2019; 207
Lall, Shantaram, Panchagade (br3440) 2010
Nishawala, Ostoja-Starzewski, Leamy, Demmie (br2970) 2016; 60
Ni, Zaccariotto, Galvanetto (br2510) Jan 2023; 381
Madenci, Oterkus (br0030) 2014
Fan, Bergel, Li (br3070) Jan 2016; 87
Chan, Chen (br2320) Sep 2021; 122
Dorduncu, Madenci (br0740) February 2023; 39
Rahaman, Roy, Roy, Reddy (br1120) Dec 2017; 327
Zhang, Huang, Cai, Xu (br3630) 2020; 234
Javili, Morasata, Oterkus, Oterkus (br0100) November 2019; 24
Sun, Fish, Zhang (br3100) Apr 2020; 55
Lubineau, Azdoud, Han, Rey, Askari (br2830) Jun 2012; 60
Wang, Xu, Huang (br1130) Aug 2019; 159
Dorduncu, Barut, Madenci (br2660) January 2016
Tian, Zhou (br1480) Jun 2023; 158
Ganzenmüller, Hiermaier, May (br0280) 2015; 150
Zhou, Liu, Liu (br0970) Jun 2017; 178
O'Grady, Foster (br1860) Dec 2014; 51
Karpenko, Oterkus, Oterkus (br2470) Apr 2021; 112
Jenabidehkordi, Fu, Rabczuk (br4090) 2022; 168
Yang, Dong, Liu, Yi, He (br1590) 2018; 199
Zhuang, Ren, Rabczuk (br2880) 2021; 90
Oterkus, Madenci (br1050) 2012; vol. 488–489
Yang, Liu (br2590) 2022; 399
Cheng, Sui, Yin, Feng (br1720) Aug 2019; 105
Dai, Tanaka, Guan, Oterkus, Oterkus (br2130) Oct 2021; 115
Madenci, Kefal, Dorduncu, Barut, Yildiz (br3020) 2018
Wang, Zhou, Wang, Shou (br0210) Mar 2018; 134
Xu, Li (br3840) Jun 2023; 18
Nguyen, Oterkus, Oterkus (br3930) Apr 2021; 112
Gu, Zhang, Madenci (br0520) Sep 2019; 218
Bobaru, Yang, Alves, Silling, Askari, Xu (br0710) 2009; 77
Gerstle, Silling, Read, Tewary, Lehoucq (br3310) Oct 2008; 8
Diehl, Lipton, Wick, Tyagi (br0090) Jun 2022; 69
Tian, Zhou (br1490) May 2024; 424
Li, You, Ni, Zhu, Poh (br1380) Nov 2022; 123
Gu, Zhang, Yu (br0270) 2017; 2017
Gao, Oterkus (br3560) Nov 2020; 216
Diyaroglu, Oterkus, Madenci, Rabczuk, Siddiq (br0950) 2016; 144
Nguyen, Oterkus (br1910) 2019; 219
Chua, Agrawal, Breitzman, Gazonas, Dayal (br2850) 2022; 159
Moraes, D'Elia, Zayernouri (br3900) 2023; 403
Tian, Ju, Du (br2740) Jun 2017; 320
Pathrikar, Rahaman, Roy (br1150) 2019; 348
Cui, Li, Zheng (br0440) Aug 2020; 117
Du, Zhang (br2230) Sep 2022; 464
Zhang, Li, Zhang, Peng, Zhou (br2170) 2022; 397
Li, Lu, Huang, Zhang, Yang (br2780) 2023; 278
Zhang, Li, Ye, Zheng, Zhang (br3080) Oct 2019; 230
Yi-le, Yin, Hai (br0900) Feb 2014; 108
Bazant, Nguyen, Donmez (br1650) Jun 2022; 89
Lu, Song, Wang, Du (br1500) Apr 2023; 124
Raedel, Willberg, Krause (br1030) Feb 2019; 158
Bie, Cui, Li (br2940) 2018; 331
Dai, Tanaka, Oterkus, Oterkus (br2060) Apr 2021; 112
Javili, McBride, Mergheim, Steinmann (br1230
Karpenko (10.1016/j.compstruc.2024.107395_br2470) 2021; 112
Kutlu (10.1016/j.compstruc.2024.107395_br1930) 2021; 267
Jo (10.1016/j.compstruc.2024.107395_br1640) 2022; 269
Ahmadi (10.1016/j.compstruc.2024.107395_br0850) 2022; 279
Jha (10.1016/j.compstruc.2024.107395_br2860) 2021; 151
Liu (10.1016/j.compstruc.2024.107395_br1390) 2023; 2023
Kulkarni (10.1016/j.compstruc.2024.107395_br1320) 2020; 233
Zhu (10.1016/j.compstruc.2024.107395_br4190) 2017; 121
Bie (10.1016/j.compstruc.2024.107395_br2760) 2023; 126
Katiyar (10.1016/j.compstruc.2024.107395_br3540) 2014; 261
Wang (10.1016/j.compstruc.2024.107395_br3250) 2022; 52
Nguyen (10.1016/j.compstruc.2024.107395_br3580) 2021; 239
Li (10.1016/j.compstruc.2024.107395_br0680) 2023; 39
Altay (10.1016/j.compstruc.2024.107395_br0790) 2024
Jafari (10.1016/j.compstruc.2024.107395_br3530) 2018; 47
Cruz (10.1016/j.compstruc.2024.107395_br1260) 2022; 275
Wang (10.1016/j.compstruc.2024.107395_br2220) 2020; 28
Wen (10.1016/j.compstruc.2024.107395_br3270) 2023; 115
Bang (10.1016/j.compstruc.2024.107395_br2450) 2021; 114
Leng (10.1016/j.compstruc.2024.107395_br3590) 2022; 452
Nguyen-Thanh (10.1016/j.compstruc.2024.107395_br1290) 2024; 296
Hattori (10.1016/j.compstruc.2024.107395_br0120) 2021; 28
Dorduncu (10.1016/j.compstruc.2024.107395_br3010) 2017
Cui (10.1016/j.compstruc.2024.107395_br3380) 2022; 209
Zhou (10.1016/j.compstruc.2024.107395_br3180) 2020; 132
Bode (10.1016/j.compstruc.2024.107395_br0450) 2020; 358
Heo (10.1016/j.compstruc.2024.107395_br2040) 2020; 214
Dorduncu (10.1016/j.compstruc.2024.107395_br1940) 2022; 281
Chowdhury (10.1016/j.compstruc.2024.107395_br1890) 2016; 84
Dorduncu (10.1016/j.compstruc.2024.107395_br2650) 2015
Amani (10.1016/j.compstruc.2024.107395_br1110) 2016; 87
Ma (10.1016/j.compstruc.2024.107395_br1010) 2021; 247
Liu (10.1016/j.compstruc.2024.107395_br2980) 2012; 245
Chen (10.1016/j.compstruc.2024.107395_br1530) 2021; 242
Behzadinasab (10.1016/j.compstruc.2024.107395_br2160) 2022; 389
Dong (10.1016/j.compstruc.2024.107395_br2960) 2020; 181
Ganzenmüller (10.1016/j.compstruc.2024.107395_br0280) 2015; 150
Zhou (10.1016/j.compstruc.2024.107395_br0580) 2016; 201
Silling (10.1016/j.compstruc.2024.107395_br4080) 2003
Safari-Naderi (10.1016/j.compstruc.2024.107395_br1080) 2023; 35
Anicode (10.1016/j.compstruc.2024.107395_br4040) 2023; 2023
Guan (10.1016/j.compstruc.2024.107395_br4200) 2015; 31
Nguyen (10.1016/j.compstruc.2024.107395_br2400) 2021; 116
Zhou (10.1016/j.compstruc.2024.107395_br0160) 2018; 188
Diehl (10.1016/j.compstruc.2024.107395_br0080) 2019; 1
Fan (10.1016/j.compstruc.2024.107395_br0960) 2022; 465
Chan (10.1016/j.compstruc.2024.107395_br2320) 2021; 122
Ren (10.1016/j.compstruc.2024.107395_br0780) 2017; 318
Fukumoto (10.1016/j.compstruc.2024.107395_br2790) 2023; 158
Wang (10.1016/j.compstruc.2024.107395_br3680) 2023; 123
Silling (10.1016/j.compstruc.2024.107395_br0010) 2000; 48
Liu (10.1016/j.compstruc.2024.107395_br1240) 2022; 266
Zhang (10.1016/j.compstruc.2024.107395_br3210) 2019; 352
Gerstle (10.1016/j.compstruc.2024.107395_br1520) 2007; 237
Can (10.1016/j.compstruc.2024.107395_br3230) 2024
Madenci (10.1016/j.compstruc.2024.107395_br3370) 2019
Can (10.1016/j.compstruc.2024.107395_br1200) 2023
Liu (10.1016/j.compstruc.2024.107395_br2870) 2021; 252
Wan (10.1016/j.compstruc.2024.107395_br0430) 2019; 35
Wang (10.1016/j.compstruc.2024.107395_br0210) 2018; 134
Chen (10.1016/j.compstruc.2024.107395_br3040) 2011; 200
Roy (10.1016/j.compstruc.2024.107395_br3390) 2019; 68
Zhang (10.1016/j.compstruc.2024.107395_br3810) 2019; 64
Gu (10.1016/j.compstruc.2024.107395_br0240) 2019; 357
Jafarzadeh (10.1016/j.compstruc.2024.107395_br4100) 2022; 392
Maio (10.1016/j.compstruc.2024.107395_br2260) 2023; 128
Dorduncu (10.1016/j.compstruc.2024.107395_br1970) 2020; 12
Oterkus (10.1016/j.compstruc.2024.107395_br3140) 2014; 64
Rahman (10.1016/j.compstruc.2024.107395_br0390) 2016; 34
Javili (10.1016/j.compstruc.2024.107395_br1230) 2021; 380
Zhuang (10.1016/j.compstruc.2024.107395_br0730) 2010; 81
Yu (10.1016/j.compstruc.2024.107395_br2020) 2020
Liu (10.1016/j.compstruc.2024.107395_br3340) 2022; 276
Xia (10.1016/j.compstruc.2024.107395_br1900) 2023; 277
Diehl (10.1016/j.compstruc.2024.107395_br0090) 2022; 69
Qin (10.1016/j.compstruc.2024.107395_br3190) 2022; 135
Ladanyi (10.1016/j.compstruc.2024.107395_br1350) 2009
Liu (10.1016/j.compstruc.2024.107395_br3490) 2023; 191
Hartmann (10.1016/j.compstruc.2024.107395_br1420) 2021; 8
Xu (10.1016/j.compstruc.2024.107395_br0820) 2007
Gu (10.1016/j.compstruc.2024.107395_br0270) 2017; 2017
Karpenko (10.1016/j.compstruc.2024.107395_br2460) 2022; 162
Macedo (10.1016/j.compstruc.2024.107395_br3320) 2018; 23
Mutnuri (10.1016/j.compstruc.2024.107395_br2210) 2018; 94
Wang (10.1016/j.compstruc.2024.107395_br2520) 2023; 124
Behzadinasab (10.1016/j.compstruc.2024.107395_br0400) 2020; 137
Min (10.1016/j.compstruc.2024.107395_br1830) 2021; 14
Li (10.1016/j.compstruc.2024.107395_br0300) 2018; 339
(10.1016/j.compstruc.2024.107395_br0070) 2021
Shojaei (10.1016/j.compstruc.2024.107395_br2270) 2023; 405
Sun (10.1016/j.compstruc.2024.107395_br2620) 2020; 371
You (10.1016/j.compstruc.2024.107395_br3890) 2021; 374
Mehrmashhadi (10.1016/j.compstruc.2024.107395_br1060) 2019; 182
Asgari (10.1016/j.compstruc.2024.107395_br1410) 2019; 54
Shen (10.1016/j.compstruc.2024.107395_br2110) 2021; 378
Laurien (10.1016/j.compstruc.2024.107395_br3480) 2021; 68
Xu (10.1016/j.compstruc.2024.107395_br3910) 2021; 386
Ouchi (10.1016/j.compstruc.2024.107395_br3740) 2015; 55
Wu (10.1016/j.compstruc.2024.107395_br1540) 2021; 253
Mossaiby (10.1016/j.compstruc.2024.107395_br4060) 2017; 74
Gu (10.1016/j.compstruc.2024.107395_br0520) 2019; 218
Zhan (10.1016/j.compstruc.2024.107395_br0940) 2021; 263
Yang (10.1016/j.compstruc.2024.107395_br2030) 2020
Rahaman (10.1016/j.compstruc.2024.107395_br1120) 2017; 327
Nguyen (10.1016/j.compstruc.2024.107395_br3930) 2021; 112
Cui (10.1016/j.compstruc.2024.107395_br0440) 2020; 117
Prakash (10.1016/j.compstruc.2024.107395_br3280) 2016; 113
Ni (10.1016/j.compstruc.2024.107395_br3640) 2020; 366
Han (10.1016/j.compstruc.2024.107395_br0920) 2014; 81
Ren (10.1016/j.compstruc.2024.107395_br1020) 2018; 214
Nguyen (10.1016/j.compstruc.2024.107395_br1910) 2019; 219
Chen (10.1016/j.compstruc.2024.107395_br0260) 2018; 90
Yan (10.1016/j.compstruc.2024.107395_br3300) 2020; 368
Foster (10.1016/j.compstruc.2024.107395_br0550) 2011; 9
Zhang (10.1016/j.compstruc.2024.107395_br2600) 2023; 403
Zhang (10.1016/j.compstruc.2024.107395_br1300) 2023; 173
Zhang (10.1016/j.compstruc.2024.107395_br1270) 2023; 277
Fan (10.1016/j.compstruc.2024.107395_br3070) 2016; 87
Song (10.1016/j.compstruc.2024.107395_br3790) 2020; 145
Alebrahim (10.1016/j.compstruc.2024.107395_br2300) 2022; 9
Madenci (10.1016/j.compstruc.2024.107395_br0660) 2019; 348
Gerstle (10.1016/j.compstruc.2024.107395_br0040) 2015
Huang (10.1016/j.compstruc.2024.107395_br1510) 2022; 400
Anicode (10.1016/j.compstruc.2024.107395_br2900) 2022; 173
Tian (10.1016/j.compstruc.2024.107395_br1480) 2023; 158
Pang (10.1016/j.compstruc.2024.107395_br3880) 2020; 422
Dipasquale (10.1016/j.compstruc.2024.107395_br0760) 2014; 190
Diyaroglu (10.1016/j.compstruc.2024.107395_br1880) 2015; 69
Jenabidehkordi (10.1016/j.compstruc.2024.107395_br4090) 2022; 168
Jung (10.1016/j.compstruc.2024.107395_br2430) 2017; 103
Jin (10.1016/j.compstruc.2024.107395_br3090) 2021; 122
Zhang (10.1016/j.compstruc.2024.107395_br2290) 2019; 2019
Yaghoobi (10.1016/j.compstruc.2024.107395_br1560) 2017; 169
Wang (10.1016/j.compstruc.2024.107395_br3160) 2019; 73
Qin (10.1016/j.compstruc.2024.107395_br3660) 2021; 247
Lubineau (10.1016/j.compstruc.2024.107395_br2830) 2012; 60
Han (10.1016/j.compstruc.2024.107395_br4000) 2016
Xia (10.1016/j.compstruc.2024.107395_br1680) 2020
Chen (10.1016/j.compstruc.2024.107395_br0340) 2019; 117
Yi-le (10.1016/j.compstruc.2024.107395_br0900) 2014; 108
Azizi (10.1016/j.compstruc.2024.107395_br1360) 2019; 13
Mossaiby (10.1016/j.compstruc.2024.107395_br4150) 2022; 2022
Giannakeas (10.1016/j.compstruc.2024.107395_br3110) 2020; 66
(10.1016/j.compstruc.2024.107395_br0050) 2016
Liu (10.1016/j.compstruc.2024.107395_br2920) 2021; 242
Chua (10.1016/j.compstruc.2024.107395_br2850) 2022; 159
Vieira (10.1016/j.compstruc.2024.107395_br0480) 2022; 270
Patnaik (10.1016/j.compstruc.2024.107395_br2070) 2020; 179
Qin (10.1016/j.compstruc.2024.107395_br2770) 2023; 147
Katiyar (10.1016/j.compstruc.2024.107395_br3570) 2020; 402
Ren (10.1016/j.compstruc.2024.107395_br0770) 2016; 108
Gok (10.1016/j.compstruc.2024.107395_br0990) 2020; vol. 28
Liu (10.1016/j.compstruc.2024.107395_br3000) 2020; 108
Hattori (10.1016/j.compstruc.2024.107395_br1070) 2018; 339
Madenci (10.1016/j.compstruc.2024.107395_br3020) 2018
Nguyen (10.1016/j.compstruc.2024.107395_br3950) 2023; 35
Guan (10.1016/j.compstruc.2024.107395_br0170) 2022; 119
Li (10.1016/j.compstruc.2024.107395_br2010) 2022; 279
Gao (10.1016/j.compstruc.2024.107395_br3260) 2021; 255
Yao (10.1016/j.compstruc.2024.107395_br3710) 2022; 270
Yang (10.1016/j.compstruc.2024.107395_br3350) 2022; 160
Shojaei (10.1016/j.compstruc.2024.107395_br2360) 2023; 407
Ren (10.1016/j.compstruc.2024.107395_br3330) 2021; 96
Li (10.1016/j.compstruc.2024.107395_br3510) 2021; 93
Warren (10.1016/j.compstruc.2024.107395_br0570) 2009; 46
Zhou (10.1016/j.compstruc.2024.107395_br0220) 2021; 373
Gu (10.1016/j.compstruc.2024.107395_br0500) 2023; 172
Dong (10.1016/j.compstruc.2024.107395_br1310) 2022; 159
Pathrikar (10.1016/j.compstruc.2024.107395_br1150) 2019; 348
Diehl (10.1016/j.compstruc.2024.107395_br4170) 2020; 2
Madenci (10.1016/j.compstruc.2024.107395_br0250) 2022
Moraes (10.1016/j.compstruc.2024.107395_br3900) 2023; 403
Zhao (10.1016/j.compstruc.2024.107395_br2570) 2021; 129
Askari (10.1016/j.compstruc.2024.107395_br0810) 2006
Queiruga (10.1016/j.compstruc.2024.107395_br0320) 2017; 322
Behzadinasab (10.1016/j.compstruc.2024.107395_br2670) 2021; 4
Ren (10.1016/j.compstruc.2024.107395_br0700) 2020; 367
Menon (10.1016/j.compstruc.2024.107395_br3750) 2019; 9
Zhang (10.1016/j.compstruc.2024.107395_br0910) 2021; 242
Wu (10.1016/j.compstruc.2024.107395_br1760) 2023; 305
Sun (10.1016/j.compstruc.2024.107395_b
References_xml – volume: 88
  start-page: 673
  year: Nov 2011
  end-page: 692
  ident: br3060
  article-title: Discontinuous Galerkin method based on peridynamic theory for linear elasticity
  publication-title: Int J Numer Methods Eng
– volume: 126
  year: 2023
  ident: br2760
  article-title: The unified nonlocal peridynamics-based phase-field damage theory
  publication-title: Theor Appl Fract Mech
– volume: 120
  start-page: 739
  year: 2019
  end-page: 757
  ident: br3130
  article-title: Coupling of peridynamics and numerical substructure method for modeling structures with local discontinuities
  publication-title: Comput Model Eng Sci
– volume: 132
  year: Aug 2020
  ident: br3180
  article-title: Hydromechanical bond-based peridynamic model for pressurized and fluid-driven fracturing processes in fissured porous rocks
  publication-title: Int J Rock Mech Min Sci
– volume: 8
  start-page: 369
  year: Mar 2021
  end-page: 388
  ident: br1420
  article-title: A curing model for the numerical simulation within additive manufacturing of soft polymers using peridynamics
  publication-title: Comput Part Mech
– volume: 320
  start-page: 46
  year: Jun 2017
  end-page: 67
  ident: br2740
  article-title: A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization
  publication-title: Comput Methods Appl Mech Eng
– volume: 135
  start-page: 38
  year: 2022
  end-page: 51
  ident: br3190
  article-title: Numerical investigation of the effects of fracturing fluid parameters on hydraulic fracture propagation in jointed rock mass based on peridynamics
  publication-title: Eng Anal Bound Elem
– volume: 357
  year: Dec 2019
  ident: br0240
  article-title: Possible causes of numerical oscillations in non-ordinary state-based peridynamics and a bond-associated higher-order stabilized model
  publication-title: Comput Methods Appl Mech Eng
– volume: 378
  year: May 2021
  ident: br2110
  article-title: Modeling of peridynamic beams and shells with transverse shear effect via interpolation method
  publication-title: Comput Methods Appl Mech Eng
– volume: 3
  start-page: 211
  year: September 2021
  end-page: 254
  ident: br0180
  article-title: Bond-based peridynamics with stretch and rotation kinematics for opening and shearing modes of fracture
  publication-title: J Peridyn Nonlocal Model
– volume: 389
  year: Feb 2022
  ident: br3920
  article-title: A data-driven peridynamic continuum model for upscaling molecular dynamics
  publication-title: Comput Methods Appl Mech Eng
– volume: 133
  start-page: 195
  year: 2022
  end-page: 217
  ident: br4130
  article-title: Implementation of openmp parallelization of rate-dependent ceramic peridynamic model
  publication-title: Comput Model Eng Sci
– volume: 122
  start-page: 4033
  year: Aug 2021
  end-page: 4054
  ident: br3090
  article-title: Coupling of non-ordinary state-based peridynamics and finite element method with reduced boundary effect
  publication-title: Int J Numer Methods Eng
– volume: 133
  start-page: 529
  year: Dec 2015
  ident: br1730
  article-title: A peridynamic model for dynamic fracture in functionally graded materials
  publication-title: Compos Struct
– volume: 34
  year: Apr 2022
  ident: br3830
  article-title: Stochastic micromechanical damage model for porous materials under uniaxial tension
  publication-title: J Mater Civ Eng
– volume: 197
  start-page: 92
  year: Jun 2018
  end-page: 113
  ident: br0800
  article-title: Thermomechanical peridynamic analysis with irregular non-uniform domain discretization
  publication-title: Eng Fract Mech
– volume: 9
  start-page: 428
  year: Oct 2019
  ident: br3750
  article-title: Coupled analysis of desiccation cracking in unsaturated soils through a non-local mathematical formulation
  publication-title: Geosciences
– volume: 217
  start-page: 247
  year: 2012
  end-page: 261
  ident: br0890
  article-title: Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites
  publication-title: Comput Methods Appl Mech Eng
– volume: 414
  year: 2023
  ident: br1280
  article-title: Higher-order nonlocal operator theory for phase-field modeling of ductile fracture in elasto-plastic materials
  publication-title: Comput Methods Appl Mech Eng
– volume: 125
  year: Jun 2023
  ident: br3240
  article-title: Peridynamic model of deformation and failure for rock material under the coupling effect of multi-physical fields
  publication-title: Theor Appl Fract Mech
– volume: 123
  start-page: 5618
  year: 2022
  end-page: 5651
  ident: br3960
  article-title: A data-driven bond-based peridynamic model derived from group method of data handling neural network with genetic algorithm
  publication-title: Int J Numer Methods Eng
– volume: 278
  year: 2023
  ident: br2780
  article-title: Prediction of bearing capacities and fracture processes in open-hole plates using a hybrid model of peridynamics and fem
  publication-title: Ocean Eng
– volume: 424
  year: May 2024
  ident: br1490
  article-title: The kinematic-constraint-inspired non-ordinary state-based peridynamics with fractional viscoelastic-viscoplastic constitutive model to simulating time-dependent deformation and failure of rocks
  publication-title: Comput Methods Appl Mech Eng
– volume: 24
  start-page: 3714
  year: November 2019
  end-page: 3739
  ident: br0100
  article-title: Peridynamics review
  publication-title: Math Mech Solids
– volume: 169
  start-page: 238
  year: Jan 2017
  end-page: 250
  ident: br1560
  article-title: Fracture analysis of fiber reinforced concrete structures in the micropolar peridynamic' analysis framework
  publication-title: Eng Fract Mech
– year: 2018
  ident: br2890
  article-title: Coupling of peridynamics with finite elements without an overlap zone
  publication-title: 2018 AIAA/ASCE/AHS/ASC structures, structural dynamics, and materials conference
– volume: 175
  year: Aug 2021
  ident: br3500
  article-title: An embedded discontinuity peridynamic model for nonlocal heat conduction with interfacial thermal resistance
  publication-title: Int J Heat Mass Transf
– volume: 318
  start-page: 349
  year: 2017
  end-page: 381
  ident: br0290
  article-title: A peridynamics-sph modeling and simulation of blast fragmentation of soil under buried explosive loads
  publication-title: Comput Methods Appl Mech Eng
– volume: 81
  start-page: 652
  year: Jan 2014
  end-page: 661
  ident: br0920
  article-title: Computational modeling of elastic properties of carbon nanotube/polymer composites with interphase regions. Part II: mechanical modeling
  publication-title: Comput Mater Sci
– volume: 213
  start-page: 72
  year: Mar 2019
  end-page: 81
  ident: br2610
  article-title: Static and free vibration analysis of Timoshenko beam based on combined peridynamic-classical theory besides fem formulation
  publication-title: Comput Struct
– volume: 468
  year: Nov 2022
  ident: br3600
  article-title: Construction of a peridynamic model for viscous flow
  publication-title: J Comput Phys
– volume: 591
  year: 2020
  ident: br3800
  article-title: Peridynamics modelling of coupled water flow and chemical transport in unsaturated porous media
  publication-title: J Hydrol
– volume: 412
  year: 2023
  ident: br3430
  article-title: A peridynamic model for electromechanical fracture and crack propagation in piezoelectric solids
  publication-title: Comput Methods Appl Mech Eng
– volume: 235
  year: 2020
  ident: br1000
  article-title: Axisymmetric peridynamic analysis of crack deflection in a single strand ceramic matrix composite
  publication-title: Eng Fract Mech
– volume: 84
  start-page: 110
  year: May 2016
  end-page: 132
  ident: br1890
  article-title: A peridynamic theory for linear elastic shells
  publication-title: Int J Solids Struct
– year: November 2016
  ident: br0050
  publication-title: Handbook of peridynamic modeling
– volume: 47
  start-page: 531
  year: May 2018
  end-page: 555
  ident: br3530
  article-title: Numerical analysis of peridynamic and classical models in transient heat transfer, employing Galerkin approach
  publication-title: Heat Transf Asian Res
– volume: 66
  start-page: 1245
  year: 2013
  end-page: 1260
  ident: br0620
  article-title: The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
  publication-title: Comput Math Appl
– year: 2014
  ident: br0030
  article-title: Peridynamic theory and its applications
– start-page: 243
  year: 2009
  end-page: 247
  ident: br1350
  article-title: Investigation of peridynamic plastic material model
  publication-title: Proceedings of the 4th IASME/WSEAS international conference on continuum mechanics, 4th IASME/WSEAS international conference on continuum mechanic (CM 09), IASME; WSEAS
– volume: 209
  year: Jun 2022
  ident: br3380
  article-title: Numerical analysis of heat and mass transfer during hydrogen absorption in metal hydride beds with a novel peridynamic model
  publication-title: Appl Therm Eng
– volume: 55
  start-page: 561
  year: Mar 2015
  end-page: 576
  ident: br3740
  article-title: A fully coupled porous flow and geomechanics model for fluid driven cracks: a peridynamics approach
  publication-title: Comput Mech
– volume: 112
  year: Apr 2021
  ident: br2470
  article-title: Peridynamic investigation of the effect of porosity on fatigue nucleation for additively manufactured titanium alloy ti6al4v
  publication-title: Theor Appl Fract Mech
– volume: 192
  year: 2020
  ident: br2930
  article-title: Coupling of meshfree peridynamics with the finite volume method for poroelastic problems
  publication-title: J Pet Sci Eng
– volume: 120
  start-page: 471
  year: 2019
  end-page: 489
  ident: br4160
  article-title: Integration of peridynamic theory and opensees for solving problems in civil engineering
  publication-title: Comput Model Eng Sci
– volume: 34
  start-page: 86
  year: May 2016
  end-page: 122
  ident: br0390
  article-title: Onto resolving spurious wave reflection problem with changing nonlocality among various length scales
  publication-title: Commun Nonlinear Sci Numer Simul
– volume: 142
  year: Jul 2021
  ident: br1340
  article-title: Three-dimensional crystal plasticity simulations using peridynamics theory and experimental comparison
  publication-title: Int J Plast
– volume: 147
  start-page: 125
  year: 2023
  end-page: 137
  ident: br2770
  article-title: A meshless method coupling peridynamics with corrective smoothed particle method for predicting material failure
  publication-title: Eng Anal Bound Elem
– volume: 67
  start-page: 666
  year: 2021
  end-page: 681
  ident: br0130
  article-title: Review of peridynamics: theory, applications, and future perspectives
  publication-title: Stroj Vestn, J Mech Eng
– volume: 403
  year: 2023
  ident: br3900
  article-title: Machine learning of nonlocal micro-structural defect evolutions in crystalline materials
  publication-title: Comput Methods Appl Mech Eng
– volume: 393
  year: 2022
  ident: br2840
  article-title: An adaptive peridynamics material point method for dynamic fracture problem
  publication-title: Comput Methods Appl Mech Eng
– volume: 86
  year: Mar-Apr 2021
  ident: br2100
  article-title: Study of three-dimensional Euler-Bernoulli beam structures using element-based peridynamic model
  publication-title: Eur J Mech A, Solids
– volume: 540
  year: Nov 2020
  ident: br4050
  article-title: Preliminary modelling of crack nucleation and propagation in sic/sic accident-tolerant fuel during routine operational transients using peridynamics
  publication-title: J Nucl Mater
– volume: 225
  start-page: 42
  year: 2017
  end-page: 48
  ident: br1630
  article-title: A peridynamics formulation for quasi-static fracture and contact in rock
  publication-title: Eng Geol
– volume: 398
  year: Aug 2022
  ident: br2680
  article-title: Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure
  publication-title: Comput Methods Appl Mech Eng
– volume: 87
  start-page: 14
  year: 2016
  end-page: 27
  ident: br3820
  article-title: A hybrid peridynamics-sph simulation of soil fragmentation by blast loads of buried explosive
  publication-title: Int J Impact Eng
– volume: 358
  year: Jan 2020
  ident: br0450
  article-title: Peridynamic Petrov-Galerkin method: a generalization of the peridynamic theory of correspondence materials
  publication-title: Comput Methods Appl Mech Eng
– volume: 158
  year: Jun 2023
  ident: br1480
  article-title: Investigating time-dependent behavior of rocks using kinematic-constraint-inspired non-ordinary state-based peridynamics
  publication-title: Comput Geotech
– year: January 2023
  ident: br1170
  article-title: Deformation and damage in metallic structures due to high speed soft and hard particle impacts
  publication-title: AIAA SCITECH 2023 forum, National Harbor, MD & online
– volume: 310
  start-page: 605
  year: 2016
  ident: br0610
  article-title: Robust a posteriori stress analysis for quadrature collocation approximations of nonlocal models via nonlocal gradients
  publication-title: Comput Methods Appl Mech Eng
– volume: 24
  start-page: 40
  year: 2019
  end-page: 52
  ident: br2820
  article-title: A comparison of state-based peridynamics and solid mesh to sph conversion techniques to reproduce fragmentation of a ceramic tile subject to ballistic impact
  publication-title: Proc Struct Integr
– volume: 159
  year: Dec 2022
  ident: br1310
  article-title: A peridynamic approach to solving general discrete dislocation dynamics problems in plasticity and fracture: Part II. Applications
  publication-title: Int J Plast
– start-page: 820
  year: 2020
  end-page: 828
  ident: br1680
  article-title: Peridynamic modelling of periodic microstructured materials
  publication-title: 1st virtual European conference on fracture - VECF1, vol. 28
– volume: 207
  start-page: 397
  year: Jan 2019
  end-page: 424
  ident: br3290
  article-title: Fully coupled thermomechanical analysis of laminated composites by using ordinary state based peridynamic theory
  publication-title: Compos Struct
– volume: 202
  start-page: 765
  year: Oct 2020
  ident: br1740
  article-title: Generalized effective fields method in peridynamic micromechanics of random structure composites
  publication-title: Int J Solids Struct
– year: 2019
  ident: br0060
  article-title: Peridynamic differential operator for numerical analysis
– volume: 262
  year: Feb 2023
  ident: br1450
  article-title: A microstructure-sensitive and derivative-free continuum model for composite materials: applications to concrete
  publication-title: Int J Solids Struct
– volume: vol. 9435
  year: 2015
  ident: br3450
  article-title: Peridynamics as an analysis tool for wave propagation in graphene nanoribbons
  publication-title: Sensors and smart structures technologies for civil, mechanical, and aerospace systems 2015
– volume: 119
  year: Jun 2022
  ident: br0170
  article-title: An improved bond-based peridynamic model with shear bonds for eliminating rigid body rotation
  publication-title: Theor Appl Fract Mech
– volume: 242
  year: 2021
  ident: br2920
  article-title: Revised non-ordinary state-based peridynamics and a new framework for coupling with finite element method
  publication-title: Eng Fract Mech
– volume: 111
  year: Feb 2021
  ident: br1780
  article-title: Modeling and studies of fracture in functionally graded materials under thermal shock loading using peridynamics
  publication-title: Theor Appl Fract Mech
– volume: 69
  start-page: 152
  year: Sep 2015
  end-page: 168
  ident: br1880
  article-title: Peridynamics for bending of beams and plates with transverse shear deformation
  publication-title: Int J Solids Struct
– volume: 247
  year: 2021
  ident: br3660
  article-title: Hydraulic fracturing network modeling based on peridynamics
  publication-title: Eng Fract Mech
– volume: 195
  start-page: 104
  year: May 2018
  end-page: 128
  ident: br0540
  article-title: A state-based peridynamic analysis in a finite element framework
  publication-title: Eng Fract Mech
– volume: 12
  year: May 2020
  ident: br1970
  article-title: Peridynamic analysis of laminated composite plates based on first-order shear deformation theory
  publication-title: Int J Appl Mech
– volume: 242
  year: Feb 2021
  ident: br1530
  article-title: A refined thermo-mechanical fully coupled peridynamics with application to concrete cracking
  publication-title: Eng Fract Mech
– volume: 114
  year: Aug 2021
  ident: br2450
  article-title: Crack growth modeling and simulation of a peridynamic fatigue model based on numerical and analytical solution approaches
  publication-title: Theor Appl Fract Mech
– volume: 188
  year: Jul 2023
  ident: br2390
  article-title: Analytical solutions of peridynamic equations. Part II: elastic wave propagation
  publication-title: Int J Eng Sci
– volume: 132
  start-page: 610
  year: 2015
  ident: br0930
  article-title: Peridynamic modeling of delamination growth in composite laminates
  publication-title: Compos Struct
– volume: 389
  year: 2022
  ident: br2160
  article-title: A general-purpose, inelastic, rotation-free Kirchhoff-Love shell formulation for peridynamics
  publication-title: Comput Methods Appl Mech Eng
– volume: 124
  year: Apr 2023
  ident: br1500
  article-title: Viscoelastic peridynamic fracture analysis for concrete beam with initial crack under impact
  publication-title: Theor Appl Fract Mech
– volume: 173
  year: Oct 2022
  ident: br2900
  article-title: Seamless coupling of bond- and state-based peridynamic and finite element analyses
  publication-title: Mech Mater
– volume: 264
  year: Apr 2022
  ident: br2420
  article-title: A peridynamic frictional contact model for contact fatigue crack initiation and propagation
  publication-title: Eng Fract Mech
– volume: 410
  year: 2023
  ident: br3050
  article-title: A coupling approach of the isogeometric-meshfree method and peridynamics for static and dynamic crack propagation
  publication-title: Comput Methods Appl Mech Eng
– volume: 124
  year: Apr 2023
  ident: br2520
  article-title: Study on two-dimensional mixed-mode fatigue crack growth employing ordinary state-based peridynamics
  publication-title: Theor Appl Fract Mech
– volume: 337
  start-page: 598
  year: Aug 2018
  ident: br0360
  article-title: Weak form of peridynamics for nonlocal essential and natural boundary conditions
  publication-title: Comput Methods Appl Mech Eng
– volume: 371
  year: 2020
  ident: br2620
  article-title: A smoothed particle hydrodynamics-peridynamics coupling strategy for modeling fluid-structure interaction problems
  publication-title: Comput Methods Appl Mech Eng
– volume: 128
  start-page: 614
  year: 2017
  end-page: 643
  ident: br1430
  article-title: The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics
  publication-title: Int J Mech Sci
– volume: 60
  start-page: 1088
  year: Jun 2012
  end-page: 1102
  ident: br2830
  article-title: A morphing strategy to couple non-local to local continuum mechanics
  publication-title: J Mech Phys Solids
– volume: 277
  year: Jan 2023
  ident: br2240
  article-title: New insights into the bond-based and ordinary state-based models in peridynamics
  publication-title: Eng Fract Mech
– volume: 81
  start-page: 366
  year: 2010
  end-page: 380
  ident: br0730
  article-title: Aspects of the use of orthogonal basis functions in the element-free Galerkin method
  publication-title: Int J Numer Methods Eng
– volume: 120
  start-page: 1349
  year: Dec 2019
  end-page: 1379
  ident: br4140
  article-title: An implicit dual-based approach to couple peridynamics with classical continuum mechanics
  publication-title: Int J Numer Methods Eng
– volume: 86
  start-page: 192
  year: Jan 2016
  end-page: 219
  ident: br1100
  article-title: Ordinary state-based peridynamics for plastic deformation according to von Mises yield criteria with isotropic hardening
  publication-title: J Mech Phys Solids
– volume: 9
  start-page: 597
  year: Jul 2022
  end-page: 614
  ident: br2300
  article-title: Improved wave dispersion properties in 1d and 2d bond-based peridynamic media
  publication-title: Comput Part Mech
– volume: 150
  start-page: 71
  year: 2015
  end-page: 78
  ident: br0280
  article-title: On the similarity of meshless discretizations of peridynamics and smooth-particle hydrodynamics
  publication-title: Comput Struct
– volume: 305
  year: Feb 2023
  ident: br1760
  article-title: Peridynamic electromechanical modeling of damaging and cracking in conductive composites: a stochastically homogenized approach
  publication-title: Compos Struct
– volume: 331
  start-page: 675
  year: 2018
  end-page: 700
  ident: br2940
  article-title: A coupling approach of state-based peridynamics with node-based smoothed finite element method
  publication-title: Comput Methods Appl Mech Eng
– volume: 94
  start-page: 453
  year: Sep 2016
  end-page: 472
  ident: br2800
  article-title: Adaptive coupling between damage mechanics and peridynamics: a route for objective simulation of material degradation up to complete failure
  publication-title: J Mech Phys Solids
– volume: vol. 488–489
  start-page: 355
  year: 2012
  ident: br1050
  article-title: Peridynamic theory for damage initiation and growth in composite laminate
  publication-title: Advances in fracture and damage mechanics X, 10th international conference on fracture and damage mechanics (FDM 2011)
– volume: 122
  start-page: 403
  year: Jan 2021
  end-page: 430
  ident: br0470
  article-title: A stable non-ordinary state-based peridynamic model for laminated composite materials
  publication-title: Int J Numer Methods Eng
– volume: 346
  start-page: 530
  year: 2019
  end-page: 549
  ident: br0420
  article-title: A modified peridynamics correspondence principle: removal of zero-energy deformation and other implications
  publication-title: Comput Methods Appl Mech Eng
– volume: 218
  year: Sep 2019
  ident: br0520
  article-title: Non-ordinary state-based peridynamic simulation of elastoplastic deformation and dynamic cracking of polycrystal
  publication-title: Eng Fract Mech
– volume: 117
  start-page: 713
  year: Feb 2019
  end-page: 727
  ident: br0340
  article-title: Peridynamic bond-associated correspondence model: stability and convergence properties
  publication-title: Int J Numer Methods Eng
– volume: 307
  start-page: 117
  year: 2016
  end-page: 143
  ident: br2730
  article-title: A multiscale method for nonlocal mechanics and diffusion and for the approximation of discontinuous functions
  publication-title: Comput Methods Appl Mech Eng
– volume: 113
  year: Jun 2021
  ident: br3360
  article-title: Peridynamic model for microballistic perforation of multilayer graphene
  publication-title: Theor Appl Fract Mech
– volume: 279
  year: 2023
  ident: br2720
  article-title: A coupled peridynamics-smoothed particle hydrodynamics model for fracture analysis of fluid-structure interactions
  publication-title: Ocean Eng
– volume: 318
  start-page: 762
  year: 2017
  end-page: 782
  ident: br0780
  article-title: Dual-horizon peridynamics: a stable solution to varying horizons
  publication-title: Comput Methods Appl Mech Eng
– volume: 279
  year: Jan 2022
  ident: br2150
  article-title: A non-linear direct peridynamics plate theory
  publication-title: Compos Struct
– volume: 322
  start-page: 42
  year: Aug 2017
  end-page: 57
  ident: br0190
  article-title: Stability of peridynamic correspondence material models and their particle discretizations
  publication-title: Comput Methods Appl Mech Eng
– volume: 230
  start-page: 3667
  year: Oct 2019
  end-page: 3692
  ident: br3080
  article-title: A coupling extended multiscale finite element and peridynamic method for modeling of crack propagation in solids
  publication-title: Acta Mech
– volume: 144
  start-page: 14
  year: 2016
  ident: br0950
  article-title: Peridynamic modeling of composite laminates under explosive loading
  publication-title: Compos Struct
– volume: 237
  start-page: 1250
  year: Jul 2007
  end-page: 1258
  ident: br1520
  article-title: Peridynamic modeling of concrete structures
  publication-title: 18th international conference on structural mechanics in nuclear engineering (SMiRT-18)
– volume: 122
  start-page: 4848
  year: Sep 2021
  end-page: 4863
  ident: br2320
  article-title: Peridynamic bond-associated correspondence model: wave dispersion property
  publication-title: Int J Numer Methods Eng
– volume: 392
  year: 2022
  ident: br4100
  article-title: A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture
  publication-title: Comput Methods Appl Mech Eng
– volume: 122
  start-page: 707
  year: Feb 2021
  end-page: 725
  ident: br2310
  article-title: A spectral method with volume penalization for a nonlinear peridynamic model
  publication-title: Int J Numer Methods Eng
– year: January 2016
  ident: br2660
  article-title: Peridynamic truss element for viscoelastic deformation
  publication-title: 57th AIAA/ASCE/AHS/ASC structures, structural dynamics, and materials conference, AIAA SciTech forum
– volume: 44
  start-page: 77
  year: Apr 2016
  end-page: 88
  ident: br0840
  article-title: Nanocomposite material properties estimation and fracture analysis via peridynamics and Monte Carlo simulation
  publication-title: 7th international conference on computational stochastic mechanics (CSM)
– volume: 279
  year: 2022
  ident: br0850
  article-title: Microstructure-based deformation and fracture modeling of particulate reinforced composites with ordinary state-based peridynamic theory
  publication-title: Compos Struct
– volume: 374
  year: Feb 2021
  ident: br3890
  article-title: Data-driven learning of nonlocal physics from high-fidelity synthetic data
  publication-title: Comput Methods Appl Mech Eng
– volume: 385
  year: Nov 2021
  ident: br3940
  article-title: A nonlocal physics-informed deep learning framework using the peridynamic differential operator
  publication-title: Comput Methods Appl Mech Eng
– volume: 146
  year: January 2020
  ident: br1960
  article-title: Stress analysis of sandwich plates with functionally graded cores using peridynamic differential operator and refined zigzag theory
  publication-title: Thin-Walled Struct
– volume: 81
  start-page: 1242
  year: Mar 2010
  end-page: 1258
  ident: br1370
  article-title: Viscoplasticity using peridynamics
  publication-title: Int J Numer Methods Eng
– volume: 33
  start-page: 1726
  year: Sep 2017
  end-page: 1753
  ident: br0650
  article-title: Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator
  publication-title: Numer Methods Partial Differ Equ
– volume: 137
  year: Apr 2020
  ident: br0400
  article-title: A semi-Lagrangian constitutive correspondence framework for peridynamics
  publication-title: J Mech Phys Solids
– volume: 261
  start-page: 209
  year: Mar 2014
  end-page: 229
  ident: br3540
  article-title: A peridynamic formulation of pressure driven convective fluid transport in porous media
  publication-title: J Comput Phys
– volume: 64
  start-page: 1097
  year: Oct 2019
  end-page: 1113
  ident: br3810
  article-title: A coupling peridynamic approach for the consolidation and dynamic analysis of saturated porous media
  publication-title: Comput Mech
– volume: 400
  year: 2022
  ident: br1510
  article-title: Efficient quasi-brittle fracture simulations of concrete at mesoscale using micro ct images and a localizing gradient damage model
  publication-title: Comput Methods Appl Mech Eng
– volume: 2019
  year: 2019
  ident: br2290
  article-title: Wave dispersion and propagation in linear peridynamic media
  publication-title: Shock Vib
– volume: 94
  start-page: 839
  year: Feb 2012
  end-page: 850
  ident: br0880
  article-title: Combined finite element and peridynamic analyses for predicting failure in a stiffened composite curved panel with a central slot
  publication-title: Compos Struct
– year: 2015
  ident: br0040
  article-title: Introduction to practical peridynamics
– volume: 263
  year: 2021
  ident: br0940
  article-title: A rate-dependent peridynamic model for predicting the dynamic response of particle reinforced metal matrix composites
  publication-title: Compos Struct
– volume: 151
  start-page: 360
  year: 2023
  end-page: 369
  ident: br3220
  article-title: Chemo-mechanical coupling bond-based peridynamic model for electrochemical corrosion and stress chemical corrosion
  publication-title: Eng Anal Bound Elem
– volume: 83
  year: Nov 2016
  ident: br2340
  article-title: Wave dispersion and basic concepts of peridynamics compared to classical nonlocal damage models
  publication-title: J Appl Mech
– volume: 18
  start-page: 3133
  year: Jun 2023
  end-page: 3152
  ident: br3840
  article-title: Development of a non-local partial peridynamic explicit mesh-free incompressible method and its validation for simulating dry dense granular flows
  publication-title: Acta Geotech
– volume: 322
  start-page: 97
  year: Aug 2017
  end-page: 122
  ident: br0320
  article-title: Numerical experiments on the convergence properties of state-based peridynamic laws and influence functions in two-dimensional problems
  publication-title: Comput Methods Appl Mech Eng
– volume: 130
  year: 2023
  ident: br0490
  article-title: Stabilized non-ordinary state-based peridynamics with irregular nodal distribution
  publication-title: Mech Res Commun
– volume: 380
  year: 2021
  ident: br1230
  article-title: Towards elasto-plastic continuum-kinematics-inspired peridynamics
  publication-title: Comput Methods Appl Mech Eng
– volume: 48
  start-page: 175
  year: Jan 2000
  end-page: 209
  ident: br0010
  article-title: Reformulation of elasticity theory for discontinuities and long-range forces
  publication-title: J Mech Phys Solids
– volume: 162
  year: 2022
  ident: br2460
  article-title: Titanium alloy corrosion fatigue crack growth rates prediction: peridynamics based numerical approach
  publication-title: Int J Fatigue
– volume: 173
  year: 2023
  ident: br1300
  article-title: A unified elasto-viscoplastic peridynamics model for brittle and ductile fractures under high-velocity impact loading
  publication-title: Int J Impact Eng
– volume: 178
  start-page: 60
  year: Jun 2017
  end-page: 76
  ident: br0970
  article-title: Analyzing dynamic fracture process in fiber-reinforced composite materials with a peridynamic model
  publication-title: Eng Fract Mech
– year: January 2024
  ident: br3230
  article-title: Water droplet impact damage in ceramics at subsonic and supersonic velocities
  publication-title: AIAA SCITECH 2024 forum
– volume: 267
  year: July 2021
  ident: br1930
  article-title: A novel mixed finite element formulation based on the refined zigzag theory for the stress analysis of laminated composite plates
  publication-title: Compos Struct
– volume: 218
  start-page: 193
  year: Jun 2019
  end-page: 203
  ident: br1950
  article-title: Stress analysis of laminated composite beams using refined zigzag theory and peridynamic differential operator
  publication-title: Compos Struct
– volume: 121
  start-page: 118
  year: Dec 2017
  end-page: 129
  ident: br4190
  article-title: Peridynamic formulations enriched with bond rotation effects
  publication-title: Int J Eng Sci
– volume: 74
  start-page: 1856
  year: Oct 2017
  end-page: 1870
  ident: br4060
  article-title: Opencl implementation of a high performance 3d peridynamic model on graphics accelerators
  publication-title: Comput Math Appl
– volume: 87
  start-page: 14
  year: Jan 2016
  end-page: 27
  ident: br3070
  article-title: A hybrid peridynamics-sph simulation of soil fragmentation by blast loads of buried explosive
  publication-title: Int J Impact Eng
– volume: 327
  start-page: 369
  year: Dec 2017
  end-page: 391
  ident: br1120
  article-title: A peridynamic model for plasticity: micro-inertia based flow rule, entropy equivalence and localization residuals
  publication-title: Comput Methods Appl Mech Eng
– volume: 225
  year: 2020
  ident: br2080
  article-title: Numerical modelling of ductile fracture in steel plates with non-ordinary state-based peridynamics
  publication-title: Eng Fract Mech
– volume: 214
  start-page: 12
  year: Apr 2019
  end-page: 22
  ident: br1920
  article-title: Peridynamic modeling of lamb wave propagation in bimaterial plates
  publication-title: Compos Struct
– volume: 115
  start-page: 706
  year: 2023
  end-page: 723
  ident: br3270
  article-title: A peridynamic model for non-Fourier heat transfer in orthotropic plate with uninsulated cracks
  publication-title: Appl Math Model
– volume: 100
  year: 2023
  ident: br2540
  article-title: An adaptive contact model involving friction based on peridynamics
  publication-title: Eur J Mech A, Solids
– volume: 168
  year: 2022
  ident: br4090
  article-title: An open source peridynamics code for dynamic fracture in homogeneous and heterogeneous materials
  publication-title: Adv Eng Softw
– volume: 2
  start-page: 2144
  year: Dec 2020
  ident: br4170
  article-title: An asynchronous and task-based implementation of peridynamics utilizing hpx-the c++ standard library for parallelism and concurrency
  publication-title: SN Appl Sci
– volume: 188
  start-page: 151
  year: Feb 2018
  end-page: 183
  ident: br0160
  article-title: A novel conjugated bond linear elastic model in bond-based peridynamics for fracture problems under dynamic loads
  publication-title: Eng Fract Mech
– volume: 531
  start-page: 649
  year: Dec 2015
  end-page: 654
  ident: br3780
  article-title: Non-local formulation for multiscale flow in porous media
  publication-title: J Hydrol
– volume: 358
  year: 2020
  ident: br0690
  article-title: A nonlocal operator method for solving partial differential equations
  publication-title: Comput Methods Appl Mech Eng
– volume: 239
  year: Nov 2021
  ident: br3580
  article-title: Modelling of Eulerian incompressible fluid flows by using peridynamic differential operator
  publication-title: Ocean Eng
– volume: 272
  year: 2022
  ident: br3870
  article-title: Data-driven bond-based peridynamics with nonlocal influence function for crack propagation
  publication-title: Eng Fract Mech
– year: 2007
  ident: br0820
  article-title: Damage and failure analysis of composite laminates under biaxial loads
  publication-title: 48th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference
– volume: 141
  start-page: 153
  year: 2022
  end-page: 166
  ident: br3620
  article-title: Three-dimensional hydraulic fracturing modeling based on peridynamics
  publication-title: Eng Anal Bound Elem
– volume: 86
  year: Mar-Apr 2021
  ident: br2120
  article-title: Construction of peridynamic beam and shell models on the basis of the micro-beam bond obtained via interpolation method
  publication-title: Eur J Mech A, Solids
– volume: 176
  year: Mar 2023
  ident: br2380
  article-title: A fracture multiscale model for peridynamic enrichment within the partition of unity method
  publication-title: Adv Eng Softw
– volume: 39
  start-page: 253
  year: Feb 2023
  end-page: 267
  ident: br1820
  article-title: Peridynamic simulation of dynamic fracture in functionally graded materials subjected to impact load
  publication-title: Eng Comput
– volume: 10
  year: 2023
  ident: br0870
  article-title: Peridynamic modeling of nonlocal degrading interfaces in composites
  publication-title: Forces Mech
– volume: 68
  start-page: 1349
  year: Dec 2021
  end-page: 1367
  ident: br0640
  article-title: On differences and comparisons of peridynamic differential operators and nonlocal differential operators
  publication-title: Comput Mech
– volume: 43
  start-page: 1169
  year: Nov 2007
  end-page: 1178
  ident: br3970
  article-title: Peridynamics via finite element analysis
  publication-title: Finite Elem Anal Des
– volume: 2023
  year: Apr 2023
  ident: br4040
  article-title: Direct coupling of dual-horizon peridynamics with finite elements for irregular discretization without an overlap zone
  publication-title: Eng Comput
– volume: 105
  start-page: 31
  year: Aug 2019
  end-page: 46
  ident: br1720
  article-title: Numerical simulation of dynamic fracture in functionally graded materials using peridynamic modeling with composite weighted bonds
  publication-title: Eng Anal Bound Elem
– volume: 435
  year: Jun 2021
  ident: br2910
  article-title: Strongly coupled peridynamic and lattice Boltzmann models using immersed boundary method for flow-induced structural deformation and fracture
  publication-title: J Comput Phys
– volume: 190
  start-page: 31
  year: 2018
  end-page: 52
  ident: br0370
  article-title: Revisit of non-ordinary state-based peridynamics
  publication-title: Eng Fract Mech
– volume: 166
  year: 2022
  ident: br1580
  article-title: Simulating concrete failure using the microplane (m7) constitutive model in correspondence-based peridynamics: validation for classical fracture tests and extension to discrete fracture
  publication-title: J Mech Phys Solids
– volume: 422
  year: 2020
  ident: br3880
  article-title: npinns: nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications
  publication-title: J Comput Phys
– year: 2021
  ident: br0530
  article-title: A nonlocal operator method for finite deformation higher-order gradient elasticity
– volume: 276
  year: 2022
  ident: br3340
  article-title: State-based peridynamics for thermomechanical modeling of fracture mechanisms in nuclear fuel pellets
  publication-title: Eng Fract Mech
– volume: 141
  start-page: 245
  year: Jun 2018
  end-page: 253
  ident: br0410
  article-title: A generalized, ordinary, finite deformation constitutive correspondence model for peridynamics
  publication-title: Int J Solids Struct
– year: 2020
  ident: br2020
  article-title: A generalized bond-based peridynamic model for quasi-brittle materials enriched with bond tension-rotation-shear coupling effects
– volume: 401
  year: Nov 2022
  ident: br2810
  article-title: A multiscale method coupling peridynamic and boundary element models for dynamic problems
  publication-title: Comput Methods Appl Mech Eng
– volume: 103
  start-page: 591
  year: Oct 2017
  end-page: 603
  ident: br2430
  article-title: Mixed-mode fatigue crack growth analysis using peridynamic approach
  publication-title: Int J Fatigue
– volume: 83
  start-page: 1526
  year: 2005
  end-page: 1535
  ident: br0560
  article-title: A meshfree method based on the peridynamic model of solid mechanics
  publication-title: Comput Struct
– volume: 6
  year: Oct 2021
  ident: br0860
  article-title: Damage behavior analysis of al/tic particulate composite by acoustic emission monitoring and peridynamic modeling
  publication-title: Compos Part C: Open Access
– volume: 296
  year: 2024
  ident: br1290
  article-title: Phase-field modeling of anisotropic brittle fracture in rock-like materials and polycrystalline materials
  publication-title: Comput Struct
– volume: 180
  start-page: 972
  year: 2017
  end-page: 993
  ident: br0980
  article-title: Phase field based peridynamics damage model for delamination of composite structures
  publication-title: Compos Struct
– volume: 12
  start-page: 548
  year: Dec 2018
  end-page: 557
  ident: br1660
  article-title: Peridynamics versus xfem: a comparative study for quasi-static crack problems
  publication-title: Front Struct Civil Eng
– volume: 116
  year: Dec 2021
  ident: br2550
  article-title: Modelling of cracks with frictional contact based on peridynamics
  publication-title: Theor Appl Fract Mech
– volume: 402
  year: Feb 2020
  ident: br3570
  article-title: A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media
  publication-title: J Comput Phys
– volume: 1
  start-page: 14
  year: April 2019
  end-page: 35
  ident: br0080
  article-title: A review of benchmark experiments for the validation of peridynamics models
  publication-title: J Peridyn Nonlocal Model
– volume: 418
  year: 2024
  ident: br0590
  article-title: Bond-based nonlocal models by nonlocal operator method in symmetric support domain
  publication-title: Comput Methods Appl Mech Eng
– volume: 464
  year: Sep 2022
  ident: br2230
  article-title: Perfectly matched layers for nonlocal Helmholtz equations II: multi-dimensional cases
  publication-title: J Comput Phys
– volume: 35
  start-page: 741
  year: May 2023
  end-page: 773
  ident: br3950
  article-title: A peridynamic-based machine learning model for one-dimensional and two-dimensional structures
  publication-title: Contin Mech Thermodyn
– volume: 101
  year: September 2020
  ident: br1990
  article-title: Elastic flexural analysis of adhesively bonded similar and dissimilar beams using refined zigzag theory and peridynamic differential operator
  publication-title: Int J Adhes Adhes
– volume: 348
  start-page: 29
  year: 2019
  ident: br1150
  article-title: A thermodynamically consistent peridynamics model for visco-plasticity and damage
  publication-title: Comput Methods Appl Mech Eng
– year: January 2023
  ident: br1160
  article-title: CFD-informed rain drop impact damage predictions at hypersonic conditions
  publication-title: AIAA SCITECH 2023 forum, National Harbor, MD & online
– volume: 200
  start-page: 1237
  year: 2011
  end-page: 1250
  ident: br3040
  article-title: Continuous and discontinuous finite element methods for a peridynamics model of mechanics
  publication-title: Comput Methods Appl Mech Eng
– volume: 7
  year: Dec 2018
  ident: br1840
  article-title: Numerical studies on mixed-mode crack propagation behavior for functionally graded material based on peridynamic theory
  publication-title: Int J Comput Mater Sci Eng
– volume: 240
  year: Dec 2020
  ident: br3120
  article-title: An energy-based ghost-force-free multivariate coupling scheme for bond-based peridynamics and classical continuum mechanics
  publication-title: Eng Fract Mech
– volume: 206
  start-page: 408
  year: Feb 2019
  end-page: 426
  ident: br4010
  article-title: Finite element method of bond-based peridynamics and its Abaqus implementation
  publication-title: Eng Fract Mech
– year: 2021
  ident: br0070
  publication-title: Peridynamic modeling, numerical techniques, and applications. Elsevier series in mechanics of advanced materials
– volume: 391
  year: Mar 2022
  ident: br2690
  article-title: Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures
  publication-title: Comput Methods Appl Mech Eng
– volume: 94
  start-page: 40
  year: Dec 2018
  end-page: 44
  ident: br2210
  article-title: A comparative study of wave dispersion between discrete and continuum linear bond-based peridynamics systems: 1d framework
  publication-title: Mech Res Commun
– volume: 342
  year: Aug 2022
  ident: br1610
  article-title: Experimental and numerical investigation on interlayer fracture process of roller compacted concrete
  publication-title: Constr Build Mater
– volume: 159
  start-page: 336
  year: Aug 2019
  end-page: 344
  ident: br1130
  article-title: A non-ordinary state-based peridynamic formulation for thermo-visco-plastic deformation and impact fracture
  publication-title: Int J Mech Sci
– volume: 151
  year: 2021
  ident: br2860
  article-title: Peridynamics-based discrete element method (peridem) model of granular systems involving breakage of arbitrarily shaped particles
  publication-title: J Mech Phys Solids
– volume: 339
  start-page: 416
  year: September 2018
  end-page: 442
  ident: br1070
  article-title: A non-ordinary state-based peridynamics framework for anisotropic materials
  publication-title: Comput Methods Appl Mech Eng
– volume: 405
  year: 2023
  ident: br2270
  article-title: Peridynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions
  publication-title: Comput Methods Appl Mech Eng
– volume: 73
  start-page: 282
  year: Jan-Feb 2019
  end-page: 305
  ident: br3160
  article-title: An improved coupled thermo-mechanic bond-based peridynamic model for cracking behaviors in brittle solids subjected to thermal shocks
  publication-title: Eur J Mech A, Solids
– volume: 52
  year: Apr 2022
  ident: br3250
  article-title: Size-and-thickness-dependent fracture patterns of hollow core-shell electrodes during lithiation
  publication-title: Extreme Mech Lett
– volume: 88
  start-page: 151
  year: Aug 2007
  end-page: 184
  ident: br0020
  article-title: Peridynamic states and constitutive modeling
  publication-title: J Elast
– volume: 93
  start-page: 294
  year: May 2021
  end-page: 313
  ident: br3510
  article-title: Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator
  publication-title: Appl Math Model
– volume: 172
  year: Sep 2023
  ident: br0500
  article-title: A stabilized hybrid peridynamic method compatible with constitutive models of different dimensions
  publication-title: Soil Dyn Earthq Eng
– volume: 220
  year: 2022
  ident: br1250
  article-title: A coupling model of element-based peridynamics and finite element method for elastic-plastic deformation and fracture analysis
  publication-title: Int J Mech Sci
– volume: 181
  year: Nov 2020
  ident: br2960
  article-title: A stability-enhanced peridynamic element to couple non-ordinary state-based peridynamics with finite element method for fracture analysis
  publication-title: Finite Elem Anal Des
– volume: 90
  year: 2021
  ident: br2880
  article-title: Nonlocal operator method for dynamic brittle fracture based on an explicit phase field model
  publication-title: Eur J Mech A, Solids
– year: 2018
  ident: br3020
  article-title: Isogeometric analysis using peridynamics and XFEM
– volume: 151
  start-page: 136
  year: Jun 2023
  end-page: 163
  ident: br0670
  article-title: Discussion on the form of construction function in the peridynamic differential operator based on relative function
  publication-title: Eng Anal Bound Elem
– volume: 45
  start-page: 217
  year: Mar-Apr 2011
  end-page: 234
  ident: br0630
  article-title: Mathematical analysis for the peridynamic nonlocal continuum theory
  publication-title: ESAIM: Math Model Numer Anal
– volume: 116
  year: Dec 2021
  ident: br2400
  article-title: Implementation of modified Wheeler model in peridynamic fatigue model to predict effects of overload and underload on fatigue crack growth rate
  publication-title: Theor Appl Fract Mech
– volume: 123
  year: Feb 2023
  ident: br3680
  article-title: A novel hybrid model for hydraulic fracture simulation based on peridynamic theory and extended finite element method
  publication-title: Theor Appl Fract Mech
– volume: 115
  year: Oct 2021
  ident: br2130
  article-title: Ordinary state-based peridynamic shell model with arbitrary horizon domains for surface effect correction
  publication-title: Theor Appl Fract Mech
– volume: 352
  start-page: 675
  year: 2019
  end-page: 690
  ident: br3210
  article-title: A multi-physics peridynamics-dem-ib-clbm framework for the prediction of erosive impact of solid particles in viscous fluids
  publication-title: Comput Methods Appl Mech Eng
– volume: 386
  year: Sec 2021
  ident: br3910
  article-title: A machine-learning framework for peridynamic material models with physical constraints
  publication-title: Comput Methods Appl Mech Eng
– volume: 488
  year: 2023
  ident: br2280
  article-title: Numerical solutions for nonlocal wave equations by perfectly matched layers II: the two-dimensional case
  publication-title: J Comput Phys
– volume: 112
  year: April 2021
  ident: br2000
  article-title: Peridynamic modeling of delaminations in laminated composite beams using refined zigzag theory
  publication-title: Theor Appl Fract Mech
– volume: 199
  year: Jun 2021
  ident: br1040
  article-title: A continuum-kinematics-inspired peridynamic model of anisotropic continua: elasticity, damage, and fracture
  publication-title: Int J Mech Sci
– volume: 30
  start-page: 1155
  year: Sep 2018
  end-page: 1184
  ident: br1400
  article-title: Quasistatic elastoplasticity via peridynamics: existence and localization
  publication-title: Contin Mech Thermodyn
– volume: vol. 28
  start-page: 2043
  year: 2020
  end-page: 2054
  ident: br0990
  article-title: Mode ii and mixed mode delamination growth in composite materials using peridynamic theory
  publication-title: 1st virtual European conference on fracture - VECF1, 1st European-structural-integrity-society (ESIS) virtual European conference on fracture (ECF)
– volume: 112
  year: Apr 2021
  ident: br2060
  article-title: Mixed-mode stress intensity factors evaluation of flat shells under in-plane loading employing ordinary state-based peridynamics
  publication-title: Theor Appl Fract Mech
– volume: 190
  start-page: 1
  year: Nov 2014
  end-page: 22
  ident: br0760
  article-title: Crack propagation with adaptive grid refinement in 2d peridynamics
  publication-title: Int J Fract
– volume: 51
  start-page: 3350
  year: Oct 2014
  end-page: 3360
  ident: br1090
  article-title: A peridynamic implementation of crystal plasticity
  publication-title: Int J Solids Struct
– volume: 452
  year: Mar 2022
  ident: br3590
  article-title: A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems
  publication-title: J Comput Phys
– volume: 23
  start-page: 29
  year: 2018
  end-page: 40
  ident: br3320
  article-title: Disclinations without gradients: a nonlocal model for topological defects in liquid crystals
  publication-title: Extreme Mech Lett
– volume: 69
  start-page: 1413
  year: Jun 2022
  end-page: 1441
  ident: br1470
  article-title: A viscoelastic model of geometry-constraint-based non-ordinary state-based peridynamics with progressive damage
  publication-title: Comput Mech
– volume: 185
  year: November 2020
  ident: br1980
  article-title: Peridynamic modeling of adhesively bonded beams with modulus graded adhesives using refined zigzag theory
  publication-title: Int J Mech Sci
– volume: 18
  start-page: 1789
  year: Nov 2019
  end-page: 1802
  ident: br2350
  article-title: Experimental verification and validation of nonlocal peridynamic approach for simulating guided lamb wave propagation and damage interaction
  publication-title: Struct Health Monit - Int J
– volume: 263
  start-page: 71
  year: 2013
  end-page: 80
  ident: br3990
  article-title: Mesh and timestep sensitivity of fracture from thermal strains using peridynamics implemented in Abaqus
  publication-title: Comput Methods Appl Mech Eng
– volume: 266
  year: 2022
  ident: br1240
  article-title: Time-discontinuous state-based peridynamics for elasto-plastic dynamic fracture problems
  publication-title: Eng Fract Mech
– volume: 128
  year: December 2023
  ident: br2530
  article-title: An improved peridynamic approach for fatigue analysis of two dimensional functionally graded materials
  publication-title: Theor Appl Fract Mech
– volume: 392
  year: Mar 2022
  ident: br1690
  article-title: Anisotropic peridynamics for homogenized microstructured materials
  publication-title: Comput Methods Appl Mech Eng
– volume: 437
  start-page: 162
  year: 2015
  end-page: 183
  ident: br2480
  article-title: Peridynamic theory of solids from the perspective of classical statistical mechanics
  publication-title: Phys A, Stat Mech Appl
– volume: 121
  start-page: 571
  year: Feb 2020
  end-page: 587
  ident: br0460
  article-title: Implicit implementation of the stabilized non-ordinary state-based peridynamic model
  publication-title: Int J Numer Methods Eng
– year: 2022
  ident: br0250
  article-title: Advances in peridynamics
– volume: 156
  start-page: 182
  year: Jun 2019
  end-page: 204
  ident: br1140
  article-title: A peridynamic plastic model based on von Mises criteria with isotropic, kinematic and mixed hardenings under cyclic loading
  publication-title: Int J Mech Sci
– volume: 366
  year: Jul 2020
  ident: br3640
  article-title: Hybrid fem and peridynamic simulation of hydraulic fracture propagation in saturated porous media
  publication-title: Comput Methods Appl Mech Eng
– volume: 247
  year: 2021
  ident: br1010
  article-title: A modified peridynamic method to model the fracture behaviour of nanocomposites
  publication-title: Eng Fract Mech
– volume: 9
  year: 2021
  ident: br2750
  article-title: Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
  publication-title: Results Appl Math
– volume: 291
  start-page: 197
  year: 2015
  ident: br0380
  article-title: A stabilized non-ordinary state-based peridynamics for the nonlocal ductile material failure analysis in metal machining process
  publication-title: Comput Methods Appl Mech Eng
– volume: 250
  year: Oct 2020
  ident: br2700
  article-title: An approach of peridynamic modeling associated with molecular dynamics for fracture simulation of particle reinforced metal matrix composites
  publication-title: Compos Struct
– volume: 381
  year: Jan 2023
  ident: br2510
  article-title: A peridynamic approach to simulating fatigue crack propagation in composite materials
  publication-title: Philos Trans - Royal Soc, Math Phys Eng Sci
– volume: 400
  year: Oct 2022
  ident: br3670
  article-title: Updated Lagrangian unsaturated periporomechanics for extreme large deformation in unsaturated porous media
  publication-title: Comput Methods Appl Mech Eng
– volume: 145
  year: Dec 2020
  ident: br3790
  article-title: On the peridynamic effective force state and multiphase constitutive correspondence principle
  publication-title: J Mech Phys Solids
– volume: 339
  start-page: 262
  year: 2018
  ident: br0300
  article-title: A stabilized non-ordinary state-based peridynamic model
  publication-title: Comput Methods Appl Mech Eng
– volume: 252
  year: Jul 2021
  ident: br2870
  article-title: Simulating quasi-static crack propagation by coupled peridynamics least square minimization with finite element method
  publication-title: Eng Fract Mech
– volume: 145
  start-page: 444
  year: Sep 2016
  end-page: 452
  ident: br3690
  article-title: A 3d peridynamic simulation of hydraulic fracture process in a heterogeneous medium
  publication-title: J Pet Sci Eng
– year: 2019
  ident: br2200
  article-title: Progressive failure analysis of composites based on peridynamics and refined zigzag theory
  publication-title: AIAA SCITECH 2019 forum
– year: January 2015
  ident: br2650
  article-title: Ordinary-state based peridynamic truss element
  publication-title: AIAA SciTech forum
– volume: 69
  start-page: 1259
  year: Jun 2022
  end-page: 1293
  ident: br0090
  article-title: A comparative review of peridynamics and phase-field models for engineering fracture mechanics
  publication-title: Comput Mech
– volume: 97
  start-page: 1236
  year: Oct 2017
  end-page: 1251
  ident: br0200
  article-title: Peridynamic integrals for strain invariants of homogeneous deformation
  publication-title: Z Angew Math Mech
– start-page: 411
  year: 2020
  end-page: 417
  ident: br2050
  article-title: Peridynamic shell membrane formulation
  publication-title: 1st virtual European conference on fracture - VECF1, vol. 28 1st European-structural-integrity-society (ESIS) virtual European conference on fracture (ECF), electrical network
– volume: 185
  year: 2022
  ident: br3150
  article-title: Analysis of heat transfer and water flow with phase change in saturated porous media by bond-based peridynamics
  publication-title: Int J Heat Mass Transf
– volume: 242
  year: 2021
  ident: br0910
  article-title: A fully-discrete peridynamic modeling approach for tensile fracture of fiber-reinforced cementitious composites
  publication-title: Eng Fract Mech
– volume: 39
  start-page: 641
  year: February 2023
  end-page: 654
  ident: br0740
  article-title: Finite element implementation of ordinary state-based peridynamics with variable horizon
  publication-title: Eng Comput
– volume: 60
  start-page: 725
  year: Nov 2017
  end-page: 738
  ident: br2330
  article-title: Wave dispersion and propagation in state-based peridynamics
  publication-title: Comput Mech
– volume: 15
  start-page: 990
  year: Nov 2022
  end-page: 1008
  ident: br3520
  article-title: A dual-horizon nonlocal diffusion model and its finite element discretization
  publication-title: Numer Math, Theory Methods Appl
– volume: 289
  start-page: 60
  year: Jun 2015
  end-page: 78
  ident: br3770
  article-title: Nonlocal convection-diffusion problems and finite element approximations
  publication-title: Comput Methods Appl Mech Eng
– volume: 35
  start-page: 1021
  year: Oct 2019
  end-page: 1032
  ident: br0430
  article-title: Improved method for zero-energy mode suppression in peridynamic correspondence model
  publication-title: Acta Mech Sin
– volume: 28
  start-page: 482
  year: 2020
  end-page: 490
  ident: br2220
  article-title: Closed-form dispersion relationships in bond-based peridynamics
  publication-title: Proc Struct Integr
– volume: 167
  year: 2022
  ident: br1710
  article-title: Multiband homogenization of metamaterials in real-space: higher-order nonlocal models and scattering at external surfaces
  publication-title: J Mech Phys Solids
– volume: 225
  start-page: 19
  year: Jul 2017
  end-page: 28
  ident: br3650
  article-title: Fully coupled poroelastic peridynamic formulation for fluid-filled fractures
  publication-title: 3rd SINOROCK international symposium of the international-society-for-rock-mechanics (ISRM)
– start-page: 567
  year: 2011
  end-page: 576
  ident: br0510
  article-title: A nonlocal approach to modeling crack nucleation in aa 7075-t651
  publication-title: Proceedings of the ASME international mechanical engineering congress and exposition, 2011, vol. 8, ASME international mechanical engineering congress and exposition (IMECE)
– volume: 3
  start-page: 148
  year: June 2021
  end-page: 166
  ident: br1800
  article-title: Analysis of functionally graded Timoshenko beams by using peridynamics
  publication-title: J Peridyn Nonlocal Model
– volume: 87
  start-page: 83
  year: 2016
  end-page: 94
  ident: br1110
  article-title: A non-ordinary state-based peridynamics formulation for thermoplastic fracture
  publication-title: Int J Impact Eng
– volume: 89
  year: Jun 2022
  ident: br1650
  article-title: Critical comparison of phase-field, peridynamics, and crack band model m7 in light of gap test and classical fracture tests
  publication-title: J Appl Mech
– year: 2017
  ident: br3010
  article-title: Peridynamic augmented XFEM
  publication-title: AIAA SciTech forum
– volume: 77
  start-page: 852
  year: 2009
  end-page: 877
  ident: br0710
  article-title: Convergence, adaptive refinement, and scaling in 1D peridynamics
  publication-title: Int J Numer Methods Eng
– start-page: 641
  year: 2003
  end-page: 644
  ident: br4080
  article-title: Dynamic fracture modeling with a meshfree peridynamic code
  publication-title: Computational fluid and solid mechanics 2003, vols. 1 and 2, proceedings, GM; HP; Compaq; Daimler Chrysler; Hyundai; Ford; MSC Software; Sgi; ESI Grp; Boeing; CINI; Texas Instruments; Fluent Inc; CFX; CFD Soc Canada; SIAM; Michelin; IACMAG; Adinan; Mecalog; Star CD; ALCAN; ANSYS Inc., 2003, 2nd MIT conference on computational fluid and solid mechanics, MIT
– volume: 143
  year: Jan 2021
  ident: br1810
  article-title: Dynamic crack propagation and its interaction with micro-cracks in an impact problem
  publication-title: J Eng Mater Technol
– volume: 275
  year: Nov 2022
  ident: br1260
  article-title: A mixed-mode energy-based elastoplastic fatigue induced damage model for the peridynamic theory
  publication-title: Eng Fract Mech
– volume: 199
  start-page: 567
  year: 2018
  end-page: 581
  ident: br1590
  article-title: Investigation on mode-i crack propagation in concrete using bond-based peridynamics with a new damage model
  publication-title: Eng Fract Mech
– volume: 131
  start-page: 715
  year: 2022
  end-page: 746
  ident: br2180
  article-title: Peridynamic modeling of brittle fracture in Mindlin-Reissner shell theory
  publication-title: Comput Model Eng Sci
– volume: 245
  start-page: 163
  year: 2012
  end-page: 175
  ident: br2980
  article-title: A coupling approach of discretized peridynamics with finite element method
  publication-title: Comput Methods Appl Mech Eng
– volume: 15
  start-page: 7762
  year: Nov 2022
  ident: br2580
  article-title: A state-based peridynamic flexural fatigue model for contact and bending conditions
  publication-title: Materials
– volume: 255
  year: 2021
  ident: br3260
  article-title: Coupled thermo-fluid-mechanical peridynamic model for analysing composite under fire scenarios
  publication-title: Compos Struct
– volume: 177
  start-page: 180
  year: 2017
  end-page: 202
  ident: br3420
  article-title: Computational electromechanical peridynamics modeling of strain and damage sensing in nanocomposite bonded explosive materials (ncbx)
  publication-title: Eng Fract Mech
– volume: 2017
  year: 2017
  ident: br0270
  article-title: An effective way to control numerical instability of a nonordinary state-based peridynamic elastic model
  publication-title: Math Probl Eng
– volume: 113
  year: Jun 2021
  ident: br1670
  article-title: Ordinary state-based peridynamic homogenization of periodic micro-structured materials
  publication-title: Theor Appl Fract Mech
– volume: 112
  year: Apr 2021
  ident: br3930
  article-title: A physics-guided machine learning model for two-dimensional structures based on ordinary state-based peridynamics
  publication-title: Theor Appl Fract Mech
– volume: 401
  year: 2022
  ident: br3700
  article-title: A coupled sph-pd model for fluid-structure interaction in an irregular channel flow considering the structural failure
  publication-title: Comput Methods Appl Mech Eng
– year: January 2024
  ident: br1190
  article-title: Pressure signature and damage predictions due to high-speed droplet impacts
  publication-title: AIAA SCITECH 2024 forum
– volume: 13
  start-page: 5735
  year: Dec 2019
  end-page: 5752
  ident: br1360
  article-title: Peridynamic model for nonlinear viscoelastic creep and creep rupture of polypropylene
  publication-title: J Mech Eng Sci
– volume: 76
  start-page: 41
  year: Sep 2016
  end-page: 47
  ident: br3030
  article-title: An effective way to couple fem meshes and peridynamics grids for the solution of static equilibrium problems
  publication-title: Mech Res Commun
– volume: 66
  start-page: 683
  year: Sep 2020
  end-page: 705
  ident: br3110
  article-title: Coupling xfem and peridynamics for brittle fracture simulation: part ii-adaptive relocation strategy
  publication-title: Comput Mech
– volume: 146
  year: Oct 2021
  ident: br1220
  article-title: A two-dimensional ordinary state-based peridynamic model for plastic deformation based on Drucker-Prager criteria with non-associated flow rule
  publication-title: Int J Rock Mech Min Sci
– volume: 120
  start-page: 107
  year: Nov 2020
  end-page: 117
  ident: br1570
  article-title: Multi-scale peridynamic formulations for chloride diffusion in concrete
  publication-title: Eng Anal Bound Elem
– volume: 108
  start-page: 801
  year: Feb 2014
  end-page: 810
  ident: br0900
  article-title: Peridynamic analytical method for progressive damage in notched composite laminates
  publication-title: Compos Struct
– volume: 264
  year: 2022
  ident: br3610
  article-title: A peridynamics-immersed boundary-lattice Boltzmann method for fluid-structure interaction analysis
  publication-title: Ocean Eng
– volume: 188
  start-page: 63
  year: Aug 2017
  end-page: 79
  ident: br0310
  article-title: Higher-order approximation to suppress the zero-energy mode in non-ordinary state-based peridynamics
  publication-title: Comput Struct
– volume: 150
  start-page: 197
  year: 2018
  end-page: 207
  ident: br0330
  article-title: Stress-point method for stabilizing zero-energy modes in non-ordinary state-based peridynamics
  publication-title: Int J Solids Struct
– volume: 214
  year: Oct 2020
  ident: br2040
  article-title: Buckling analysis of cracked plates using peridynamics
  publication-title: Ocean Eng
– volume: 218
  year: Sep 2019
  ident: br0230
  article-title: Weak form of bond-associated non-ordinary state-based peridynamics free of zero energy modes with uniform or non-uniform discretization
  publication-title: Eng Fract Mech
– volume: 397
  year: 2022
  ident: br2170
  article-title: A nonlocal nonlinear stiffened shell theory with stiffeners modeled as geometrically-exact beams
  publication-title: Comput Methods Appl Mech Eng
– volume: 253
  year: Aug 2021
  ident: br1540
  article-title: Stochastically homogenized peridynamic model for dynamic fracture analysis of concrete
  publication-title: Eng Fract Mech
– volume: 372
  year: Dec 2020
  ident: br4020
  article-title: Abaqus implementation of dual peridynamics for brittle fracture
  publication-title: Comput Methods Appl Mech Eng
– volume: 128
  year: 2023
  ident: br2260
  article-title: Propagation of lamb waves in a metal plate with an abrupt change in thickness using peridynamics and laser Doppler velocimetry
  publication-title: Ultrasonics
– volume: 270
  year: Jul 2022
  ident: br0480
  article-title: On the role of bond-associated stabilization and discretization on deformation and fracture in non-ordinary state-based peridynamics
  publication-title: Eng Fract Mech
– start-page: 464
  year: 2020
  end-page: 471
  ident: br2030
  article-title: Peridynamic formulation for Timoshenko beam, vol. 28
– volume: 398
  year: Aug 2022
  ident: br4030
  article-title: Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements
  publication-title: Comput Methods Appl Mech Eng
– start-page: 275
  year: 2022
  end-page: 285
  ident: br3860
  article-title: What machine learning can do for computational solid mechanics
  publication-title: Current trends and open problems in computational mechanics
– volume: 90
  start-page: 141
  year: Sep 2009
  end-page: 151
  ident: br0830
  article-title: Peridynamic theory for progressive damage prediction in center-cracked composite laminates
  publication-title: Compos Struct
– volume: 120
  year: Aug 2022
  ident: br2410
  article-title: Non-ordinary state-based peridynamic fatigue modelling of composite laminates with arbitrary fibre orientation
  publication-title: Theor Appl Fract Mech
– volume: 374
  year: 2021
  ident: br0350
  article-title: Peridynamic modeling of bonded-lap joints with viscoelastic adhesives in the presence of finite deformation
  publication-title: Comput Methods Appl Mech Eng
– volume: 56
  start-page: 841
  year: Apr 2021
  end-page: 854
  ident: br3470
  article-title: Phase transformation in shape memory alloys: a numerical approach for thermomechanical modeling via peridynamics
  publication-title: Meccanica
– volume: 9
  start-page: 675
  year: 2011
  end-page: 687
  ident: br0550
  article-title: An energy based failure criterion for use with peridynamic states
  publication-title: Int J Multiscale Comput Eng
– volume: 113
  start-page: 154
  year: Feb 2016
  end-page: 170
  ident: br3280
  article-title: Electromechanical peridynamics modeling of piezoresistive response of carbon nanotube nanocomposites
  publication-title: Comput Mater Sci
– volume: 179
  year: 2020
  ident: br2070
  article-title: Geometrically nonlinear analysis of nonlocal plates using fractional calculus
  publication-title: Int J Mech Sci
– volume: 161
  start-page: 43
  year: 2015
  end-page: 54
  ident: br1550
  article-title: Meshless modeling framework for fiber reinforced concrete structures
  publication-title: Comput Struct
– volume: 55
  start-page: 681
  year: Apr 2020
  end-page: 699
  ident: br3100
  article-title: Superposition of non-ordinary state-based peridynamics and finite element method for material failure simulations
  publication-title: Meccanica
– volume: 233
  year: 2020
  ident: br1320
  article-title: An ordinary state based peridynamic correspondence model for metal creep
  publication-title: Eng Fract Mech
– volume: 301
  start-page: 336
  year: 2016
  end-page: 358
  ident: br2990
  article-title: A morphing approach to couple state-based peridynamics with classical continuum mechanics
  publication-title: Comput Methods Appl Mech Eng
– volume: 51
  start-page: 4572
  year: Dec 2014
  end-page: 4579
  ident: br1860
  article-title: Peridynamic plates and flat shells: a non-ordinary, state-based model
  publication-title: Int J Solids Struct
– volume: 123
  start-page: 2837
  year: Jun 2022
  end-page: 2871
  ident: br3760
  article-title: Computational multiphase periporomechanics for unguided cracking in unsaturated porous media
  publication-title: Int J Numer Methods Eng
– volume: 39
  start-page: 893
  year: Feb 2023
  end-page: 909
  ident: br1850
  article-title: Nonlocal modeling of bi-material and modulus graded plates using peridynamic differential operator
  publication-title: Eng Comput
– volume: 35
  start-page: 1226
  year: Dec 2019
  end-page: 1240
  ident: br3460
  article-title: Large deformation and wrinkling analyses of bimodular structures and membranes based on a peridynamic computational framework
  publication-title: Acta Mech Sin
– volume: 219
  year: 2019
  ident: br1910
  article-title: Peridynamics for the thermomechanical behavior of shell structures
  publication-title: Eng Fract Mech
– volume: 54
  start-page: 1001
  year: May 2019
  end-page: 1014
  ident: br1410
  article-title: An equivalent von Mises stress and corresponding equivalent plastic strain for elastic-plastic ordinary peridynamics
  publication-title: Meccanica
– volume: 60
  start-page: 73
  year: 2016
  end-page: 83
  ident: br2970
  article-title: Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments
  publication-title: Wave Motion
– volume: 2022
  year: Jun 2022
  ident: br2190
  article-title: Peridynamic shell model based on micro-beam bond
  publication-title: Comput Model Eng Sci
– volume: 68
  start-page: 82
  year: Apr 2019
  end-page: 112
  ident: br3390
  article-title: Peridynamics model for flexoelectricity and damage
  publication-title: Appl Math Model
– volume: 147
  year: Jan 2021
  ident: br0140
  article-title: State-of-the-art review on the progressive failure characteristics of geomaterials in peridynamic theory
  publication-title: J Eng Mech
– volume: 31
  start-page: 500
  year: Mar 2015
  end-page: 516
  ident: br4200
  article-title: Stability and accuracy of time-stepping schemes and dispersion relations for a nonlocal wave equation
  publication-title: Mathematics of finite elements and applications, mafelap, brunel inst. computat. math.
– volume: 39
  start-page: 3491
  year: 2023
  end-page: 3507
  ident: br0680
  article-title: Weak form of bond-associated peridynamic differential operator for thermo-mechanical analysis of orthotropic structures
  publication-title: Eng Comput
– volume: 368
  year: Aug 2020
  ident: br3300
  article-title: Higher-order nonlocal theory of updated Lagrangian particle hydrodynamics (ulph) and simulations of multiphase flows
  publication-title: Comput Methods Appl Mech Eng
– volume: 2019
  year: Oct 2019
  ident: br2500
  article-title: Studies on quasi-static and fatigue crack propagation behaviours in friction stir welded joints using peridynamic theory
  publication-title: Adv Mater Sci Eng
– volume: 51
  start-page: 2298
  year: Dec 2011
  end-page: 2305
  ident: br3410
  article-title: Crack propagation in multilayer thin-film structures of electronic packages using the peridynamic theory
  publication-title: Microelectron Reliab
– start-page: 825
  year: May 2019
  end-page: 833
  ident: br3370
  article-title: Peridynamics for predicting thermal expansion coefficient of graphene
  publication-title: 2019 IEEE 69th electronic components and technology conference (ECTC)
– volume: 277
  year: Jan 2023
  ident: br1900
  article-title: Mesh-free discretization of peridynamic shell structures and coupling model with isogeometric analysis
  publication-title: Eng Fract Mech
– volume: 46
  start-page: 1186
  year: Mar 2009
  end-page: 1195
  ident: br0570
  article-title: A non-ordinary state-based peridynamic method to model solid material deformation and fracture
  publication-title: Int J Solids Struct
– volume: 96
  year: 2021
  ident: br3330
  article-title: Nonlocal operator method for the Cahn-Hilliard phase field model
  publication-title: Commun Nonlinear Sci Numer Simul
– volume: 158
  start-page: 18
  year: Feb 2019
  end-page: 27
  ident: br1030
  article-title: Peridynamic analysis of fibre-matrix debond and matrix failure mechanisms in composites under transverse tensile load by an energy-based damage criterion
  publication-title: Composites, Part B, Eng
– volume: 171
  year: Jan 2023
  ident: br3400
  article-title: A spectrum improved peridynamic model for shock wave problems
  publication-title: Int J Impact Eng
– volume: 68
  start-page: 1023
  year: Nov 2021
  end-page: 1037
  ident: br3480
  article-title: Nonlocal wrinkling instabilities in bilayered systems using peridynamics
  publication-title: Comput Mech
– volume: 2022
  year: May 2022
  ident: br4150
  article-title: Multi-adaptive coupling of finite element meshes with peridynamic grids: robust implementation and potential applications
  publication-title: Eng Comput
– volume: 201
  start-page: 213
  year: Oct 2016
  end-page: 234
  ident: br0580
  article-title: Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics
  publication-title: Int J Fract
– year: 2010
  ident: br3440
  article-title: Peridynamic-models using finite elements for shock and vibration reliability of leadfree electronics
  publication-title: 2010 12th IEEE intersociety conference on thermal and thermomechanical phenomena in electronic systems, intersociety conference on thermal and thermomechanical phenomena in electronic systems
– volume: 4
  year: 2021
  ident: br2670
  article-title: Coupling of iga and peridynamics for air-blast fluid-structure interaction using an immersed approach
  publication-title: Forces Mech
– volume: 179
  start-page: 777
  year: 2008
  end-page: 783
  ident: br3980
  article-title: Implementing peridynamics within a molecular dynamics code
  publication-title: Comput Phys Commun
– volume: 270
  year: Oct 2022
  ident: br3710
  article-title: Coupled pd-sph modeling for fluid-structure interaction problems with large deformation and fracturing
  publication-title: Comput Struct
– volume: 147
  year: Jan 2021
  ident: br0110
  article-title: Review of peridynamic modelling of material failure and damage due to impact
  publication-title: Int J Impact Eng
– volume: 348
  start-page: 846
  year: May 2019
  end-page: 874
  ident: br0660
  article-title: Peridynamic least squares minimization
  publication-title: Comput Methods Appl Mech Eng
– volume: 386
  year: 2021
  ident: br2140
  article-title: On nonlocal geometrically exact shell theory and modeling fracture in shell structures
  publication-title: Comput Methods Appl Mech Eng
– volume: 367
  year: 2020
  ident: br0700
  article-title: A higher order nonlocal operator method for solving partial differential equations
  publication-title: Comput Methods Appl Mech Eng
– volume: 9
  start-page: 635
  year: 2011
  end-page: 659
  ident: br0750
  article-title: Adaptive refinement and multiscale modeling in 2d peridynamics
  publication-title: Int J Multiscale Comput Eng
– volume: 108
  start-page: 1451
  year: Dec 2016
  end-page: 1476
  ident: br0770
  article-title: Dual-horizon peridynamics
  publication-title: Int J Numer Methods Eng
– year: January 2024
  ident: br0790
  article-title: Dual horizon peridynamic approach for studying the effect of porous media on the dynamic crack growth in brittle materials
  publication-title: J Peridyn Nonlocal Model
– volume: 103
  start-page: 266
  year: Sep 2019
  end-page: 274
  ident: br1620
  article-title: Peridynamic modelling of reinforced concrete structures
  publication-title: 8th international conference on engineering failure analysis (ICEFA)
– volume: 216
  year: Nov 2020
  ident: br3560
  article-title: Multi-phase fluid flow simulation by using peridynamic differential operator
  publication-title: Ocean Eng
– volume: 399
  year: Sep 2022
  ident: br4120
  article-title: Computationally efficient and effective peridynamic model for cracks and fractures in homogeneous and heterogeneous materials
  publication-title: Comput Methods Appl Mech Eng
– volume: 190
  start-page: 347
  year: Mar 2018
  end-page: 366
  ident: br2370
  article-title: An analytical study of wave propagation in a peridynamic bar with nonuniform discretization
  publication-title: Eng Fract Mech
– start-page: 544
  year: 2016
  end-page: 549
  ident: br4000
  article-title: Peridynamic direct concentration approach by using ansys
  publication-title: 2016 IEEE 66th electronic components and technology conference (ECTC), electronic components and technology conference, 66th IEEE electronic components and technology conference (ECTC)
– volume: 28
  start-page: 4655
  year: December 2021
  end-page: 4686
  ident: br0120
  article-title: A review on the developments of peridynamics for reinforced concrete structures
  publication-title: Arch Comput Methods Eng
– volume: 123
  start-page: 5201
  year: Nov 2022
  end-page: 5229
  ident: br1380
  article-title: The extended peridynamic model for elastoplastic and/or fracture problems
  publication-title: Int J Numer Methods Eng
– volume: 159
  year: 2022
  ident: br2850
  article-title: Phase-field modeling and peridynamics for defect dynamics, and an augmented phase-field model with viscous stresses
  publication-title: J Mech Phys Solids
– volume: 26
  start-page: 1737
  year: April 2021
  end-page: 1759
  ident: br1790
  article-title: Peridynamic modelling of higher order functionally graded plates
  publication-title: Math Mech Solids
– volume: 214
  start-page: 49
  year: Nov 2018
  end-page: 68
  ident: br1020
  article-title: A peridynamic failure analysis of fiber-reinforced composite laminates using finite element discontinuous Galerkin approximations
  publication-title: Int J Fract
– volume: 2023
  year: Mar 2023
  ident: br1390
  article-title: A general finite deformation hypoelastic-plasticity non-ordinary state-based peridynamics model and its applications
  publication-title: Eng Comput
– volume: 403
  year: Jan 2023
  ident: br2600
  article-title: Coupling of an atomistic model and bond-based peridynamic model using an extended arlequin framework
  publication-title: Comput Methods Appl Mech Eng
– volume: 277
  year: 2023
  ident: br1270
  article-title: Peridynamics methodology for elasto-viscoplastic ductile fracture
  publication-title: Eng Fract Mech
– volume: 244
  year: Oct 2021
  ident: br1440
  article-title: A practical bond-based peridynamic modeling of reinforced concrete structures
  publication-title: Eng Struct
– volume: 269
  year: Jun 2022
  ident: br1640
  article-title: Two-grid based sequential peridynamic analysis method for quasi-static crack propagation
  publication-title: Eng Fract Mech
– volume: 158
  year: 2022
  ident: br2630
  article-title: Numerical simulation of fluid-driven fracturing in orthotropic poroelastic media based on a peridynamics-finite element coupling approach
  publication-title: Int J Rock Mech Min Sci
– volume: 348
  start-page: 493
  year: 2017
  end-page: 513
  ident: br3550
  article-title: An updated Lagrangian particle hydrodynamics (ulph) for Newtonian fluids
  publication-title: J Comput Phys
– volume: 16
  start-page: e163
  year: 2019
  ident: br2490
  article-title: Fatigue degradation strategies to simulate crack propagation using peridynamic based computational methods
  publication-title: Lat Am J Solids Struct
– volume: 268
  year: Jun 2022
  ident: br1460
  article-title: Failure modeling of concrete: a peri-dynamical approach with bond-based correspondence to bi-scalar damage model
  publication-title: Eng Fract Mech
– volume: 234
  year: 2020
  ident: br3630
  article-title: An extended ordinary state-based peridynamic approach for modelling hydraulic fracturing
  publication-title: Eng Fract Mech
– volume: 9
  start-page: 775
  year: Jul 2022
  end-page: 788
  ident: br3850
  article-title: Meshfree numerical procedure of Biot's consolidation: a coupled smoothed particle hydrodynamics and peridynamics model
  publication-title: Comput Part Mech
– volume: 407
  year: Mar 2023
  ident: br2360
  article-title: Peri dynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions
  publication-title: Comput Methods Appl Mech Eng
– volume: 281
  year: February 2022
  ident: br1940
  article-title: Triangular C0 continuous finite elements based on refined zigzag theory {2, 2} for free and forced vibration analyses of laminated plates
  publication-title: Compos Struct
– volume: 126
  year: Nov 2022
  ident: br2250
  article-title: Some closed form series solutions to peridynamic plate equations
  publication-title: Mech Res Commun
– volume: 279
  year: Jan 2022
  ident: br1770
  article-title: A peridynamic approach for modeling of two dimensional functionally graded plates
  publication-title: Compos Struct
– volume: 35
  year: 2023
  ident: br1080
  article-title: A bond-based peridynamics model based on variable material properties for modeling elastoplastic behavior
  publication-title: Mater Today Commun
– volume: 229
  year: Dec 2019
  ident: br1700
  article-title: Combined peridynamic and finite element analyses for failure prediction in periodic and partially periodic perforated structures
  publication-title: Compos Struct
– volume: 117
  start-page: 104
  year: Aug 2020
  end-page: 118
  ident: br0440
  article-title: A higher-order stress point method for non-ordinary state-based peridynamics
  publication-title: Eng Anal Bound Elem
– year: 2018
  ident: br4110
  article-title: Peridynamics using irregular domain discretization with moose-based implementation
  publication-title: Proceedings of the ASME international mechanical engineering congress and exposition, 2017, vol. 9, ASME international mechanical engineering congress and exposition
– volume: 134
  start-page: 89
  year: Mar 2018
  end-page: 115
  ident: br0210
  article-title: A 3-d conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids
  publication-title: Int J Solids Struct
– year: 2017
  ident: br2950
  article-title: Peridynamics damage model through phase field theory
– volume: 465
  year: 2022
  ident: br0960
  article-title: An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems
  publication-title: J Comput Phys
– volume: 8
  start-page: 75
  year: Oct 2008
  end-page: 92
  ident: br3310
  article-title: Peridynamic simulation of electromigration
  publication-title: Comput Mater Continua
– volume: 389
  year: Feb 2022
  ident: br3720
  article-title: A unified non-local fluid transport model for heterogeneous saturated porous media
  publication-title: Comput Methods Appl Mech Eng
– volume: 262
  year: 2022
  ident: br1870
  article-title: Progressive failure analysis of cylindrical shell under hydrostatic pressure based on an extended bond-based peridynamic method
  publication-title: Ocean Eng
– volume: 158
  year: 2023
  ident: br2790
  article-title: 3-d coupled peridynamics and discrete element method for fracture and post-fracture behavior of soil-like materials
  publication-title: Comput Geotech
– volume: 140
  start-page: 82
  year: 2016
  end-page: 111
  ident: br0600
  article-title: Characterization of function spaces of vector fields and an application in nonlinear peridynamics
  publication-title: Nonlinear Anal
– volume: 129
  start-page: 519
  year: 2021
  end-page: 539
  ident: br2570
  article-title: Modelling of contact damage in brittle materials based on peridynamics
  publication-title: Comput Model Eng Sci
– volume: 279
  year: Jan 2022
  ident: br2010
  article-title: Large deformation analysis of functionally graded beam with variable cross-section by using peridynamic differential operator
  publication-title: Compos Struct
– volume: 267
  year: May 2022
  ident: br2560
  article-title: A peridynamic model for contact problems involving fracture
  publication-title: Eng Fract Mech
– volume: 399
  year: 2022
  ident: br2590
  article-title: Analysis of dynamic crack propagation in two-dimensional elastic bodies by coupling the boundary element method and the bond-based peridynamics
  publication-title: Comput Methods Appl Mech Eng
– volume: 53
  start-page: 194
  year: Jun 2010
  end-page: 204
  ident: br0720
  article-title: An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory
  publication-title: Theor Appl Fract Mech
– year: 2006
  ident: br0810
  article-title: Peridynamic analysis of damage and failure in composites
  publication-title: 44th AIAA aerospace sciences meeting and exhibit
– volume: 406
  year: Mar 2023
  ident: br3730
  article-title: Peridynamics for mechanism analysis of soil desiccation cracking: coupled hygro-mechanical model, staggered and monolithic solution
  publication-title: Comput Methods Appl Mech Eng
– volume: 71
  start-page: 2218
  year: Jun 2016
  end-page: 2230
  ident: br2710
  article-title: A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
  publication-title: Conference on advances in scientific computing and applied mathematics
– year: January 2024
  ident: br1180
  article-title: Analysis of high-speed particle impact on metallic targets
  publication-title: AIAA SCITECH 2024 forum
– volume: 398
  year: 2022
  ident: br3200
  article-title: 3d fluid-structure interaction with fracturing: a new method with applications
  publication-title: Comput Methods Appl Mech Eng
– volume: 108
  year: 2020
  ident: br3000
  article-title: A coupling model of xfem/peridynamics for 2d dynamic crack propagation and branching problems
  publication-title: Theor Appl Fract Mech
– volume: 90
  start-page: 34
  year: Jun 2018
  end-page: 41
  ident: br0260
  article-title: Bond-associated deformation gradients for peridynamic correspondence model
  publication-title: Mech Res Commun
– volume: 182
  year: Sep 2019
  ident: br1060
  article-title: A stochastically homogenized peridynamic model for intraply fracture in fiber-reinforced composites
  publication-title: Compos Sci Technol
– volume: 155
  year: 2021
  ident: br1600
  article-title: Peridynamics modelling of dynamic tensile failure in concrete
  publication-title: Int J Impact Eng
– volume: 191
  year: 2023
  ident: br3490
  article-title: Numerical verification of a nonlocal discrete model for anisotropic heat conduction problems
  publication-title: Int J Therm Sci
– volume: 99
  start-page: 14
  year: 2017
  end-page: 25
  ident: br2640
  article-title: A 3d discontinuous Galerkin finite element method with the bond-based peridynamics model for dynamic brittle failure analysis
  publication-title: Int J Impact Eng
– volume: 222
  year: 2021
  ident: br1750
  article-title: Fully meshfree numerical analysis of nonlocal damage in voxel-based material models from microtomography
  publication-title: Int J Solids Struct
– volume: 16
  start-page: 4074
  year: May 2023
  ident: br1330
  article-title: Thermomechanical peridynamic modeling for ductile fracture
  publication-title: Materials
– volume: 160
  year: Dec 2022
  ident: br3350
  article-title: Coupled thermal-hydraulic simulations of fracturing in granite under high temperature and high pressure treatment via peridynamic
  publication-title: Int J Rock Mech Min Sci
– volume: 38
  start-page: 3037
  year: 2018
  end-page: 3048
  ident: br3170
  article-title: Simulation of thermal shock cracking in ceramics using bond-based peridynamics and fem
  publication-title: J Eur Ceram Soc
– volume: 14
  start-page: 3032
  year: Jun 2021
  ident: br1830
  article-title: Crack growth simulation of functionally graded materials based on improved bond-based peridynamic model
  publication-title: Materials
– volume: 121
  year: Oct 2022
  ident: br2440
  article-title: A peridynamic damage-cumulative model for rolling contact fatigue
  publication-title: Theor Appl Fract Mech
– year: January 2023
  ident: br1200
  article-title: A peridynamic investigation of ceramic material response under high-speed solid impact loadings
  publication-title: AIAA SCITECH 2023 forum, National Harbor, MD & online
– volume: 254
  year: Sep 2021
  ident: br2090
  article-title: Improved Timoshenko beam-based micropolar peridynamic method incorporating particle geometry
  publication-title: Eng Fract Mech
– volume: 64
  start-page: 1
  year: March 2014
  end-page: 23
  ident: br3140
  article-title: Fully coupled peridynamic thermomechanics
  publication-title: J Mech Phys Solids
– volume: 373
  year: 2021
  ident: br0220
  article-title: A novel linear elastic constitutive model for continuum-kinematics-inspired peridynamics
  publication-title: Comput Methods Appl Mech Eng
– volume: 260
  year: Feb 2022
  ident: br4070
  article-title: Ansys implementation of a coupled 3d peridynamic and finite element analysis for crack propagation under quasi-static loading
  publication-title: Eng Fract Mech
– year: 2020
  ident: br1210
  article-title: Ordinary state-based peridynamics for nonlinear hardening plastic materials' deformation and its fracture process
  publication-title: Eng Fract Mech
– volume: 39
  start-page: 3491
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br0680
  article-title: Weak form of bond-associated peridynamic differential operator for thermo-mechanical analysis of orthotropic structures
  publication-title: Eng Comput
  doi: 10.1007/s00366-022-01763-x
– year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1200
  article-title: A peridynamic investigation of ceramic material response under high-speed solid impact loadings
– volume: 190
  start-page: 347
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br2370
  article-title: An analytical study of wave propagation in a peridynamic bar with nonuniform discretization
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2017.12.019
– year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br2650
  article-title: Ordinary-state based peridynamic truss element
– volume: 115
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2130
  article-title: Ordinary state-based peridynamic shell model with arbitrary horizon domains for surface effect correction
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2021.103068
– volume: 124
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1500
  article-title: Viscoelastic peridynamic fracture analysis for concrete beam with initial crack under impact
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2023.103757
– volume: 180
  start-page: 972
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0980
  article-title: Phase field based peridynamics damage model for delamination of composite structures
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2017.08.071
– volume: 218
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0520
  article-title: Non-ordinary state-based peridynamic simulation of elastoplastic deformation and dynamic cracking of polycrystal
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2019.106568
– volume: 124
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2520
  article-title: Study on two-dimensional mixed-mode fatigue crack growth employing ordinary state-based peridynamics
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2023.103761
– volume: 26
  start-page: 1737
  issue: 12
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1790
  article-title: Peridynamic modelling of higher order functionally graded plates
  publication-title: Math Mech Solids
  doi: 10.1177/10812865211004671
– volume: 398
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3200
  article-title: 3d fluid-structure interaction with fracturing: a new method with applications
  publication-title: Comput Methods Appl Mech Eng
– volume: 94
  start-page: 453
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br2800
  article-title: Adaptive coupling between damage mechanics and peridynamics: a route for objective simulation of material degradation up to complete failure
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2016.05.017
– volume: 262
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1450
  article-title: A microstructure-sensitive and derivative-free continuum model for composite materials: applications to concrete
  publication-title: Int J Solids Struct
– volume: 214
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2040
  article-title: Buckling analysis of cracked plates using peridynamics
  publication-title: Ocean Eng
  doi: 10.1016/j.oceaneng.2020.107817
– start-page: 567
  year: 2011
  ident: 10.1016/j.compstruc.2024.107395_br0510
  article-title: A nonlocal approach to modeling crack nucleation in aa 7075-t651
– volume: 90
  start-page: 34
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0260
  article-title: Bond-associated deformation gradients for peridynamic correspondence model
  publication-title: Mech Res Commun
  doi: 10.1016/j.mechrescom.2018.04.004
– volume: 281
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1940
  article-title: Triangular C0 continuous finite elements based on refined zigzag theory {2, 2} for free and forced vibration analyses of laminated plates
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2021.115058
– volume: 97
  start-page: 1236
  issue: 10
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0200
  article-title: Peridynamic integrals for strain invariants of homogeneous deformation
  publication-title: Z Angew Math Mech
  doi: 10.1002/zamm.201600242
– year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1210
  article-title: Ordinary state-based peridynamics for nonlinear hardening plastic materials' deformation and its fracture process
  publication-title: Eng Fract Mech
– volume: 112
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2470
  article-title: Peridynamic investigation of the effect of porosity on fatigue nucleation for additively manufactured titanium alloy ti6al4v
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2021.102925
– volume: 16
  start-page: 4074
  issue: 11
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1330
  article-title: Thermomechanical peridynamic modeling for ductile fracture
  publication-title: Materials
  doi: 10.3390/ma16114074
– volume: 207
  start-page: 397
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3290
  article-title: Fully coupled thermomechanical analysis of laminated composites by using ordinary state based peridynamic theory
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2018.09.034
– volume: 352
  start-page: 675
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3210
  article-title: A multi-physics peridynamics-dem-ib-clbm framework for the prediction of erosive impact of solid particles in viscous fluids
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2019.04.043
– volume: 143
  issue: 1
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1810
  article-title: Dynamic crack propagation and its interaction with micro-cracks in an impact problem
  publication-title: J Eng Mater Technol
  doi: 10.1115/1.4047746
– volume: 3
  start-page: 211
  issue: 3
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0180
  article-title: Bond-based peridynamics with stretch and rotation kinematics for opening and shearing modes of fracture
  publication-title: J Peridyn Nonlocal Model
  doi: 10.1007/s42102-020-00049-4
– volume: 403
  issue: A
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2600
  article-title: Coupling of an atomistic model and bond-based peridynamic model using an extended arlequin framework
  publication-title: Comput Methods Appl Mech Eng
– volume: 132
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3180
  article-title: Hydromechanical bond-based peridynamic model for pressurized and fluid-driven fracturing processes in fissured porous rocks
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2020.104383
– volume: 84
  start-page: 110
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br1890
  article-title: A peridynamic theory for linear elastic shells
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2016.01.019
– volume: 279
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2720
  article-title: A coupled peridynamics-smoothed particle hydrodynamics model for fracture analysis of fluid-structure interactions
  publication-title: Ocean Eng
  doi: 10.1016/j.oceaneng.2023.114582
– volume: 410
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3050
  article-title: A coupling approach of the isogeometric-meshfree method and peridynamics for static and dynamic crack propagation
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2023.115904
– volume: 51
  start-page: 3350
  issue: 19–20
  year: 2014
  ident: 10.1016/j.compstruc.2024.107395_br1090
  article-title: A peridynamic implementation of crystal plasticity
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2014.05.027
– volume: 115
  start-page: 706
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3270
  article-title: A peridynamic model for non-Fourier heat transfer in orthotropic plate with uninsulated cracks
  publication-title: Appl Math Model
  doi: 10.1016/j.apm.2022.11.010
– volume: 291
  start-page: 197
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br0380
  article-title: A stabilized non-ordinary state-based peridynamics for the nonlocal ductile material failure analysis in metal machining process
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2015.03.003
– volume: 348
  start-page: 29
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1150
  article-title: A thermodynamically consistent peridynamics model for visco-plasticity and damage
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2019.01.008
– year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br2200
  article-title: Progressive failure analysis of composites based on peridynamics and refined zigzag theory
– volume: 320
  start-page: 46
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br2740
  article-title: A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2017.03.020
– volume: 374
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0350
  article-title: Peridynamic modeling of bonded-lap joints with viscoelastic adhesives in the presence of finite deformation
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2020.113584
– volume: 3
  start-page: 148
  issue: 2
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1800
  article-title: Analysis of functionally graded Timoshenko beams by using peridynamics
  publication-title: J Peridyn Nonlocal Model
  doi: 10.1007/s42102-020-00044-9
– volume: 68
  start-page: 1023
  issue: 5
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3480
  article-title: Nonlocal wrinkling instabilities in bilayered systems using peridynamics
  publication-title: Comput Mech
  doi: 10.1007/s00466-021-02057-7
– volume: 121
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2440
  article-title: A peridynamic damage-cumulative model for rolling contact fatigue
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2022.103489
– volume: 405
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2270
  article-title: Peridynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions
  publication-title: Comput Methods Appl Mech Eng
– volume: 358
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br0450
  article-title: Peridynamic Petrov-Galerkin method: a generalization of the peridynamic theory of correspondence materials
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2019.112636
– volume: 389
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3920
  article-title: A data-driven peridynamic continuum model for upscaling molecular dynamics
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.114400
– volume: 51
  start-page: 4572
  issue: 25–26
  year: 2014
  ident: 10.1016/j.compstruc.2024.107395_br1860
  article-title: Peridynamic plates and flat shells: a non-ordinary, state-based model
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2014.09.003
– volume: 296
  year: 2024
  ident: 10.1016/j.compstruc.2024.107395_br1290
  article-title: Phase-field modeling of anisotropic brittle fracture in rock-like materials and polycrystalline materials
  publication-title: Comput Struct
  doi: 10.1016/j.compstruc.2024.107325
– volume: 116
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2400
  article-title: Implementation of modified Wheeler model in peridynamic fatigue model to predict effects of overload and underload on fatigue crack growth rate
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2021.103115
– year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br0250
– year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2020
– volume: 233
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1320
  article-title: An ordinary state based peridynamic correspondence model for metal creep
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2020.107042
– volume: 277
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2240
  article-title: New insights into the bond-based and ordinary state-based models in peridynamics
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108991
– volume: 6
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0860
  article-title: Damage behavior analysis of al/tic particulate composite by acoustic emission monitoring and peridynamic modeling
  publication-title: Compos Part C: Open Access
– volume: 185
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3150
  article-title: Analysis of heat transfer and water flow with phase change in saturated porous media by bond-based peridynamics
  publication-title: Int J Heat Mass Transf
  doi: 10.1016/j.ijheatmasstransfer.2021.122327
– volume: 141
  start-page: 153
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3620
  article-title: Three-dimensional hydraulic fracturing modeling based on peridynamics
  publication-title: Eng Anal Bound Elem
  doi: 10.1016/j.enganabound.2022.05.011
– volume: 14
  start-page: 3032
  issue: 11
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1830
  article-title: Crack growth simulation of functionally graded materials based on improved bond-based peridynamic model
  publication-title: Materials
  doi: 10.3390/ma14113032
– volume: 128
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2260
  article-title: Propagation of lamb waves in a metal plate with an abrupt change in thickness using peridynamics and laser Doppler velocimetry
  publication-title: Ultrasonics
  doi: 10.1016/j.ultras.2022.106853
– volume: 214
  start-page: 12
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1920
  article-title: Peridynamic modeling of lamb wave propagation in bimaterial plates
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2019.01.108
– volume: 160
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3350
  article-title: Coupled thermal-hydraulic simulations of fracturing in granite under high temperature and high pressure treatment via peridynamic
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2022.105247
– volume: 113
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1670
  article-title: Ordinary state-based peridynamic homogenization of periodic micro-structured materials
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2021.102960
– volume: 122
  start-page: 4033
  issue: 16
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3090
  article-title: Coupling of non-ordinary state-based peridynamics and finite element method with reduced boundary effect
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.6691
– volume: 342
  issue: B
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1610
  article-title: Experimental and numerical investigation on interlayer fracture process of roller compacted concrete
  publication-title: Constr Build Mater
– volume: 217
  start-page: 247
  year: 2012
  ident: 10.1016/j.compstruc.2024.107395_br0890
  article-title: Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2012.01.016
– volume: 87
  start-page: 83
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br1110
  article-title: A non-ordinary state-based peridynamics formulation for thermoplastic fracture
  publication-title: Int J Impact Eng
  doi: 10.1016/j.ijimpeng.2015.06.019
– volume: 13
  start-page: 5735
  issue: 4
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1360
  article-title: Peridynamic model for nonlinear viscoelastic creep and creep rupture of polypropylene
  publication-title: J Mech Eng Sci
  doi: 10.15282/jmes.13.4.2019.02.0458
– volume: 100
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2540
  article-title: An adaptive contact model involving friction based on peridynamics
  publication-title: Eur J Mech A, Solids
  doi: 10.1016/j.euromechsol.2023.104966
– volume: 158
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2630
  article-title: Numerical simulation of fluid-driven fracturing in orthotropic poroelastic media based on a peridynamics-finite element coupling approach
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2022.105199
– volume: 94
  start-page: 839
  issue: 3
  year: 2012
  ident: 10.1016/j.compstruc.2024.107395_br0880
  article-title: Combined finite element and peridynamic analyses for predicting failure in a stiffened composite curved panel with a central slot
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2011.07.019
– volume: 81
  start-page: 366
  issue: 3
  year: 2010
  ident: 10.1016/j.compstruc.2024.107395_br0730
  article-title: Aspects of the use of orthogonal basis functions in the element-free Galerkin method
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.2696
– year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br3020
– volume: 144
  start-page: 14
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br0950
  article-title: Peridynamic modeling of composite laminates under explosive loading
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2016.02.018
– volume: 2
  start-page: 2144
  issue: 12
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br4170
  article-title: An asynchronous and task-based implementation of peridynamics utilizing hpx-the c++ standard library for parallelism and concurrency
  publication-title: SN Appl Sci
  doi: 10.1007/s42452-020-03784-x
– volume: 120
  start-page: 1349
  issue: 12
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br4140
  article-title: An implicit dual-based approach to couple peridynamics with classical continuum mechanics
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.6182
– volume: 123
  start-page: 5618
  issue: 22
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3960
  article-title: A data-driven bond-based peridynamic model derived from group method of data handling neural network with genetic algorithm
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.7081
– volume: 199
  start-page: 567
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br1590
  article-title: Investigation on mode-i crack propagation in concrete using bond-based peridynamics with a new damage model
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2018.06.019
– volume: 464
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2230
  article-title: Perfectly matched layers for nonlocal Helmholtz equations II: multi-dimensional cases
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2022.111192
– volume: 16
  start-page: e163
  issue: 2
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br2490
  article-title: Fatigue degradation strategies to simulate crack propagation using peridynamic based computational methods
  publication-title: Lat Am J Solids Struct
  doi: 10.1590/1679-78255022
– year: 2024
  ident: 10.1016/j.compstruc.2024.107395_br1180
  article-title: Analysis of high-speed particle impact on metallic targets
– volume: 81
  start-page: 1242
  issue: 10
  year: 2010
  ident: 10.1016/j.compstruc.2024.107395_br1370
  article-title: Viscoplasticity using peridynamics
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.2725
– volume: 179
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2070
  article-title: Geometrically nonlinear analysis of nonlocal plates using fractional calculus
  publication-title: Int J Mech Sci
  doi: 10.1016/j.ijmecsci.2020.105710
– volume: 54
  start-page: 1001
  issue: 7
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1410
  article-title: An equivalent von Mises stress and corresponding equivalent plastic strain for elastic-plastic ordinary peridynamics
  publication-title: Meccanica
  doi: 10.1007/s11012-019-00975-8
– volume: 279
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1770
  article-title: A peridynamic approach for modeling of two dimensional functionally graded plates
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2021.114743
– volume: 94
  start-page: 40
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br2210
  article-title: A comparative study of wave dispersion between discrete and continuum linear bond-based peridynamics systems: 1d framework
  publication-title: Mech Res Commun
  doi: 10.1016/j.mechrescom.2018.09.003
– volume: 188
  start-page: 63
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0310
  article-title: Higher-order approximation to suppress the zero-energy mode in non-ordinary state-based peridynamics
  publication-title: Comput Struct
  doi: 10.1016/j.compstruc.2017.03.019
– volume: 234
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3630
  article-title: An extended ordinary state-based peridynamic approach for modelling hydraulic fracturing
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2020.107086
– volume: 39
  start-page: 641
  issue: 1
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br0740
  article-title: Finite element implementation of ordinary state-based peridynamics with variable horizon
  publication-title: Eng Comput
  doi: 10.1007/s00366-022-01641-6
– volume: vol. 28
  start-page: 2043
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br0990
  article-title: Mode ii and mixed mode delamination growth in composite materials using peridynamic theory
– volume: 191
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3490
  article-title: Numerical verification of a nonlocal discrete model for anisotropic heat conduction problems
  publication-title: Int J Therm Sci
  doi: 10.1016/j.ijthermalsci.2023.108360
– volume: 263
  start-page: 71
  year: 2013
  ident: 10.1016/j.compstruc.2024.107395_br3990
  article-title: Mesh and timestep sensitivity of fracture from thermal strains using peridynamics implemented in Abaqus
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2013.05.001
– year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0060
– volume: 151
  start-page: 360
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3220
  article-title: Chemo-mechanical coupling bond-based peridynamic model for electrochemical corrosion and stress chemical corrosion
  publication-title: Eng Anal Bound Elem
  doi: 10.1016/j.enganabound.2023.03.013
– volume: 540
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br4050
  article-title: Preliminary modelling of crack nucleation and propagation in sic/sic accident-tolerant fuel during routine operational transients using peridynamics
  publication-title: J Nucl Mater
  doi: 10.1016/j.jnucmat.2020.152369
– volume: 69
  start-page: 1413
  issue: 6
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1470
  article-title: A viscoelastic model of geometry-constraint-based non-ordinary state-based peridynamics with progressive damage
  publication-title: Comput Mech
  doi: 10.1007/s00466-022-02148-z
– volume: 135
  start-page: 38
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3190
  article-title: Numerical investigation of the effects of fracturing fluid parameters on hydraulic fracture propagation in jointed rock mass based on peridynamics
  publication-title: Eng Anal Bound Elem
  doi: 10.1016/j.enganabound.2021.11.016
– volume: 255
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3260
  article-title: Coupled thermo-fluid-mechanical peridynamic model for analysing composite under fire scenarios
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2020.113006
– volume: 133
  start-page: 195
  issue: 1
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br4130
  article-title: Implementation of openmp parallelization of rate-dependent ceramic peridynamic model
  publication-title: Comput Model Eng Sci
– volume: 412
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3430
  article-title: A peridynamic model for electromechanical fracture and crack propagation in piezoelectric solids
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2023.116081
– volume: 86
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2100
  article-title: Study of three-dimensional Euler-Bernoulli beam structures using element-based peridynamic model
  publication-title: Eur J Mech A, Solids
  doi: 10.1016/j.euromechsol.2020.104186
– volume: 278
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2780
  article-title: Prediction of bearing capacities and fracture processes in open-hole plates using a hybrid model of peridynamics and fem
  publication-title: Ocean Eng
  doi: 10.1016/j.oceaneng.2023.114322
– volume: 116
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2550
  article-title: Modelling of cracks with frictional contact based on peridynamics
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2021.103082
– volume: 399
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2590
  article-title: Analysis of dynamic crack propagation in two-dimensional elastic bodies by coupling the boundary element method and the bond-based peridynamics
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.115339
– volume: vol. 9435
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br3450
  article-title: Peridynamics as an analysis tool for wave propagation in graphene nanoribbons
– volume: 277
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1900
  article-title: Mesh-free discretization of peridynamic shell structures and coupling model with isogeometric analysis
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108997
– volume: 385
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3940
  article-title: A nonlocal physics-informed deep learning framework using the peridynamic differential operator
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.114012
– start-page: 464
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2030
– volume: 181
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2960
  article-title: A stability-enhanced peridynamic element to couple non-ordinary state-based peridynamics with finite element method for fracture analysis
  publication-title: Finite Elem Anal Des
  doi: 10.1016/j.finel.2020.103480
– volume: 93
  start-page: 294
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3510
  article-title: Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator
  publication-title: Appl Math Model
  doi: 10.1016/j.apm.2020.12.004
– start-page: 825
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3370
  article-title: Peridynamics for predicting thermal expansion coefficient of graphene
– volume: 159
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1310
  article-title: A peridynamic approach to solving general discrete dislocation dynamics problems in plasticity and fracture: Part II. Applications
  publication-title: Int J Plast
  doi: 10.1016/j.ijplas.2022.103462
– volume: 402
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3570
  article-title: A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2019.109075
– volume: 121
  start-page: 118
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br4190
  article-title: Peridynamic formulations enriched with bond rotation effects
  publication-title: Int J Eng Sci
  doi: 10.1016/j.ijengsci.2017.09.004
– volume: 239
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3580
  article-title: Modelling of Eulerian incompressible fluid flows by using peridynamic differential operator
  publication-title: Ocean Eng
  doi: 10.1016/j.oceaneng.2021.109815
– volume: 392
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1690
  article-title: Anisotropic peridynamics for homogenized microstructured materials
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.114704
– year: 2007
  ident: 10.1016/j.compstruc.2024.107395_br0820
  article-title: Damage and failure analysis of composite laminates under biaxial loads
– volume: 403
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3900
  article-title: Machine learning of nonlocal micro-structural defect evolutions in crystalline materials
  publication-title: Comput Methods Appl Mech Eng
– year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1170
  article-title: Deformation and damage in metallic structures due to high speed soft and hard particle impacts
– volume: 173
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2900
  article-title: Seamless coupling of bond- and state-based peridynamic and finite element analyses
  publication-title: Mech Mater
  doi: 10.1016/j.mechmat.2022.104433
– volume: 218
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0230
  article-title: Weak form of bond-associated non-ordinary state-based peridynamics free of zero energy modes with uniform or non-uniform discretization
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2019.106613
– volume: 56
  start-page: 841
  issue: 4, SI
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3470
  article-title: Phase transformation in shape memory alloys: a numerical approach for thermomechanical modeling via peridynamics
  publication-title: Meccanica
  doi: 10.1007/s11012-020-01276-1
– volume: 468
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3600
  article-title: Construction of a peridynamic model for viscous flow
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2022.111509
– year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br0040
– volume: 465
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br0960
  article-title: An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2022.111376
– volume: 230
  start-page: 3667
  issue: 10
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3080
  article-title: A coupling extended multiscale finite element and peridynamic method for modeling of crack propagation in solids
  publication-title: Acta Mech
  doi: 10.1007/s00707-019-02471-2
– volume: 55
  start-page: 681
  issue: 4, SI
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3100
  article-title: Superposition of non-ordinary state-based peridynamics and finite element method for material failure simulations
  publication-title: Meccanica
  doi: 10.1007/s11012-019-01098-w
– year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br0050
– volume: 348
  start-page: 846
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0660
  article-title: Peridynamic least squares minimization
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2019.01.032
– volume: 182
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1060
  article-title: A stochastically homogenized peridynamic model for intraply fracture in fiber-reinforced composites
  publication-title: Compos Sci Technol
  doi: 10.1016/j.compscitech.2019.107770
– volume: 69
  start-page: 152
  issue: 70
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br1880
  article-title: Peridynamics for bending of beams and plates with transverse shear deformation
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2015.04.040
– volume: 67
  start-page: 666
  issue: 12
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0130
  article-title: Review of peridynamics: theory, applications, and future perspectives
  publication-title: Stroj Vestn, J Mech Eng
  doi: 10.5545/sv-jme.2021.7289
– volume: 30
  start-page: 1155
  issue: 5
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br1400
  article-title: Quasistatic elastoplasticity via peridynamics: existence and localization
  publication-title: Contin Mech Thermodyn
  doi: 10.1007/s00161-018-0671-5
– volume: 424
  year: 2024
  ident: 10.1016/j.compstruc.2024.107395_br1490
  article-title: The kinematic-constraint-inspired non-ordinary state-based peridynamics with fractional viscoelastic-viscoplastic constitutive model to simulating time-dependent deformation and failure of rocks
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2024.116873
– volume: 99
  start-page: 14
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br2640
  article-title: A 3d discontinuous Galerkin finite element method with the bond-based peridynamics model for dynamic brittle failure analysis
  publication-title: Int J Impact Eng
  doi: 10.1016/j.ijimpeng.2016.09.003
– start-page: 411
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2050
  article-title: Peridynamic shell membrane formulation
– volume: 400
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1510
  article-title: Efficient quasi-brittle fracture simulations of concrete at mesoscale using micro ct images and a localizing gradient damage model
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.115559
– volume: 120
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2410
  article-title: Non-ordinary state-based peridynamic fatigue modelling of composite laminates with arbitrary fibre orientation
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2022.103393
– start-page: 243
  year: 2009
  ident: 10.1016/j.compstruc.2024.107395_br1350
  article-title: Investigation of peridynamic plastic material model
– year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0530
– volume: 126
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2250
  article-title: Some closed form series solutions to peridynamic plate equations
  publication-title: Mech Res Commun
  doi: 10.1016/j.mechrescom.2022.104000
– volume: 34
  start-page: 86
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br0390
  article-title: Onto resolving spurious wave reflection problem with changing nonlocality among various length scales
  publication-title: Commun Nonlinear Sci Numer Simul
  doi: 10.1016/j.cnsns.2015.10.003
– volume: 71
  start-page: 2218
  issue: 11
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br2710
  article-title: A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
  publication-title: Comput Math Appl
  doi: 10.1016/j.camwa.2015.12.006
– volume: 112
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2000
  article-title: Peridynamic modeling of delaminations in laminated composite beams using refined zigzag theory
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2020.102832
– volume: 374
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3890
  article-title: Data-driven learning of nonlocal physics from high-fidelity synthetic data
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2020.113553
– volume: 225
  start-page: 42
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br1630
  article-title: A peridynamics formulation for quasi-static fracture and contact in rock
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2017.05.001
– volume: 150
  start-page: 197
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0330
  article-title: Stress-point method for stabilizing zero-energy modes in non-ordinary state-based peridynamics
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2018.06.015
– start-page: 641
  year: 2003
  ident: 10.1016/j.compstruc.2024.107395_br4080
  article-title: Dynamic fracture modeling with a meshfree peridynamic code
– volume: 146
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1220
  article-title: A two-dimensional ordinary state-based peridynamic model for plastic deformation based on Drucker-Prager criteria with non-associated flow rule
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2021.104857
– volume: 87
  start-page: 14
  issue: SI
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br3070
  article-title: A hybrid peridynamics-sph simulation of soil fragmentation by blast loads of buried explosive
  publication-title: Int J Impact Eng
  doi: 10.1016/j.ijimpeng.2015.08.006
– volume: 128
  start-page: 614
  issue: 129
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br1430
  article-title: The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics
  publication-title: Int J Mech Sci
  doi: 10.1016/j.ijmecsci.2017.05.019
– volume: 289
  start-page: 60
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br3770
  article-title: Nonlocal convection-diffusion problems and finite element approximations
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2015.02.008
– volume: 140
  start-page: 82
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br0600
  article-title: Characterization of function spaces of vector fields and an application in nonlinear peridynamics
  publication-title: Nonlinear Anal
  doi: 10.1016/j.na.2016.02.024
– volume: 200
  start-page: 1237
  issue: 9–12
  year: 2011
  ident: 10.1016/j.compstruc.2024.107395_br3040
  article-title: Continuous and discontinuous finite element methods for a peridynamics model of mechanics
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2010.10.014
– volume: 327
  start-page: 369
  issue: SI
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br1120
  article-title: A peridynamic model for plasticity: micro-inertia based flow rule, entropy equivalence and localization residuals
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2017.07.034
– volume: 44
  start-page: 77
  issue: SI
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br0840
  article-title: Nanocomposite material properties estimation and fracture analysis via peridynamics and Monte Carlo simulation
  publication-title: Probab Eng Mech
  doi: 10.1016/j.probengmech.2015.11.001
– volume: 114
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2450
  article-title: Crack growth modeling and simulation of a peridynamic fatigue model based on numerical and analytical solution approaches
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2021.103026
– start-page: 275
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3860
  article-title: What machine learning can do for computational solid mechanics
– volume: 2022
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br4150
  article-title: Multi-adaptive coupling of finite element meshes with peridynamic grids: robust implementation and potential applications
  publication-title: Eng Comput
– volume: 367
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br0700
  article-title: A higher order nonlocal operator method for solving partial differential equations
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2020.113132
– volume: 307
  start-page: 117
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br2730
  article-title: A multiscale method for nonlocal mechanics and diffusion and for the approximation of discontinuous functions
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2016.04.020
– volume: 55
  start-page: 561
  issue: 3
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br3740
  article-title: A fully coupled porous flow and geomechanics model for fluid driven cracks: a peridynamics approach
  publication-title: Comput Mech
  doi: 10.1007/s00466-015-1123-8
– volume: 225
  start-page: 19
  issue: SI
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br3650
  article-title: Fully coupled poroelastic peridynamic formulation for fluid-filled fractures
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2017.02.001
– volume: 161
  start-page: 43
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br1550
  article-title: Meshless modeling framework for fiber reinforced concrete structures
  publication-title: Comput Struct
  doi: 10.1016/j.compstruc.2015.08.015
– volume: 267
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2560
  article-title: A peridynamic model for contact problems involving fracture
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108436
– volume: 263
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0940
  article-title: A rate-dependent peridynamic model for predicting the dynamic response of particle reinforced metal matrix composites
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2021.113673
– volume: 129
  start-page: 519
  issue: 2
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2570
  article-title: Modelling of contact damage in brittle materials based on peridynamics
  publication-title: Comput Model Eng Sci
– volume: 9
  start-page: 775
  issue: 4
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3850
  article-title: Meshfree numerical procedure of Biot's consolidation: a coupled smoothed particle hydrodynamics and peridynamics model
  publication-title: Comput Part Mech
  doi: 10.1007/s40571-021-00443-9
– year: 2014
  ident: 10.1016/j.compstruc.2024.107395_br0030
– volume: 166
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1580
  article-title: Simulating concrete failure using the microplane (m7) constitutive model in correspondence-based peridynamics: validation for classical fracture tests and extension to discrete fracture
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2022.104947
– volume: 488
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2280
  article-title: Numerical solutions for nonlocal wave equations by perfectly matched layers II: the two-dimensional case
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2023.112209
– volume: 130
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br0490
  article-title: Stabilized non-ordinary state-based peridynamics with irregular nodal distribution
  publication-title: Mech Res Commun
  doi: 10.1016/j.mechrescom.2023.104130
– volume: 237
  start-page: 1250
  issue: 12–13
  year: 2007
  ident: 10.1016/j.compstruc.2024.107395_br1520
  article-title: Peridynamic modeling of concrete structures
  publication-title: Nucl Eng Des
  doi: 10.1016/j.nucengdes.2006.10.002
– volume: 389
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3720
  article-title: A unified non-local fluid transport model for heterogeneous saturated porous media
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.114294
– volume: 201
  start-page: 213
  issue: 2
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br0580
  article-title: Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics
  publication-title: Int J Fract
  doi: 10.1007/s10704-016-0126-6
– volume: 318
  start-page: 762
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0780
  article-title: Dual-horizon peridynamics: a stable solution to varying horizons
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2016.12.031
– volume: 331
  start-page: 675
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br2940
  article-title: A coupling approach of state-based peridynamics with node-based smoothed finite element method
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2017.11.022
– volume: vol. 488–489
  start-page: 355
  year: 2012
  ident: 10.1016/j.compstruc.2024.107395_br1050
  article-title: Peridynamic theory for damage initiation and growth in composite laminate
– volume: 206
  start-page: 408
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br4010
  article-title: Finite element method of bond-based peridynamics and its Abaqus implementation
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2018.11.048
– volume: 111
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1780
  article-title: Modeling and studies of fracture in functionally graded materials under thermal shock loading using peridynamics
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2020.102852
– volume: 12
  issue: 3
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1970
  article-title: Peridynamic analysis of laminated composite plates based on first-order shear deformation theory
  publication-title: Int J Appl Mech
  doi: 10.1142/S1758825120500313
– volume: 88
  start-page: 673
  issue: 7
  year: 2011
  ident: 10.1016/j.compstruc.2024.107395_br3060
  article-title: Discontinuous Galerkin method based on peridynamic theory for linear elasticity
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.3196
– volume: 134
  start-page: 89
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0210
  article-title: A 3-d conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2017.10.022
– volume: 122
  start-page: 707
  issue: 3
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2310
  article-title: A spectral method with volume penalization for a nonlinear peridynamic model
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.6555
– volume: 435
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2910
  article-title: Strongly coupled peridynamic and lattice Boltzmann models using immersed boundary method for flow-induced structural deformation and fracture
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2021.110267
– volume: 147
  start-page: 125
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2770
  article-title: A meshless method coupling peridynamics with corrective smoothed particle method for predicting material failure
  publication-title: Eng Anal Bound Elem
  doi: 10.1016/j.enganabound.2022.12.001
– volume: 253
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1540
  article-title: Stochastically homogenized peridynamic model for dynamic fracture analysis of concrete
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2021.107863
– volume: 7
  issue: 4
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br1840
  article-title: Numerical studies on mixed-mode crack propagation behavior for functionally graded material based on peridynamic theory
  publication-title: Int J Comput Mater Sci Eng
– volume: 531
  start-page: 649
  issue: 3
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br3780
  article-title: Non-local formulation for multiscale flow in porous media
  publication-title: J Hydrol
  doi: 10.1016/j.jhydrol.2015.10.062
– year: 2024
  ident: 10.1016/j.compstruc.2024.107395_br1190
  article-title: Pressure signature and damage predictions due to high-speed droplet impacts
– volume: 123
  start-page: 2837
  issue: 12
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3760
  article-title: Computational multiphase periporomechanics for unguided cracking in unsaturated porous media
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.6961
– year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br2890
  article-title: Coupling of peridynamics with finite elements without an overlap zone
– volume: 23
  start-page: 29
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br3320
  article-title: Disclinations without gradients: a nonlocal model for topological defects in liquid crystals
  publication-title: Extreme Mech Lett
  doi: 10.1016/j.eml.2018.07.005
– volume: 120
  start-page: 739
  issue: 3
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3130
  article-title: Coupling of peridynamics and numerical substructure method for modeling structures with local discontinuities
  publication-title: Comput Model Eng Sci
– volume: 346
  start-page: 530
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0420
  article-title: A modified peridynamics correspondence principle: removal of zero-energy deformation and other implications
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2018.11.025
– volume: 219
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1910
  article-title: Peridynamics for the thermomechanical behavior of shell structures
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2019.106623
– volume: 270
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br0480
  article-title: On the role of bond-associated stabilization and discretization on deformation and fracture in non-ordinary state-based peridynamics
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108557
– volume: 15
  start-page: 7762
  issue: 21
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2580
  article-title: A state-based peridynamic flexural fatigue model for contact and bending conditions
  publication-title: Materials
  doi: 10.3390/ma15217762
– volume: 275
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1260
  article-title: A mixed-mode energy-based elastoplastic fatigue induced damage model for the peridynamic theory
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108834
– volume: 73
  start-page: 282
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3160
  article-title: An improved coupled thermo-mechanic bond-based peridynamic model for cracking behaviors in brittle solids subjected to thermal shocks
  publication-title: Eur J Mech A, Solids
  doi: 10.1016/j.euromechsol.2018.09.007
– volume: 74
  start-page: 1856
  issue: 8
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br4060
  article-title: Opencl implementation of a high performance 3d peridynamic model on graphics accelerators
  publication-title: Comput Math Appl
  doi: 10.1016/j.camwa.2017.06.045
– volume: 2017
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0270
  article-title: An effective way to control numerical instability of a nonordinary state-based peridynamic elastic model
  publication-title: Math Probl Eng
  doi: 10.1155/2017/1750876
– volume: 252
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2870
  article-title: Simulating quasi-static crack propagation by coupled peridynamics least square minimization with finite element method
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2021.107862
– volume: 250
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2700
  article-title: An approach of peridynamic modeling associated with molecular dynamics for fracture simulation of particle reinforced metal matrix composites
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2020.112613
– volume: 245
  start-page: 163
  year: 2012
  ident: 10.1016/j.compstruc.2024.107395_br2980
  article-title: A coupling approach of discretized peridynamics with finite element method
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2012.07.006
– volume: 389
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2160
  article-title: A general-purpose, inelastic, rotation-free Kirchhoff-Love shell formulation for peridynamics
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.114422
– volume: 131
  start-page: 715
  issue: 2
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2180
  article-title: Peridynamic modeling of brittle fracture in Mindlin-Reissner shell theory
  publication-title: Comput Model Eng Sci
– volume: 437
  start-page: 162
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br2480
  article-title: Peridynamic theory of solids from the perspective of classical statistical mechanics
  publication-title: Phys A, Stat Mech Appl
  doi: 10.1016/j.physa.2015.05.099
– volume: 357
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0240
  article-title: Possible causes of numerical oscillations in non-ordinary state-based peridynamics and a bond-associated higher-order stabilized model
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2019.112592
– volume: 178
  start-page: 60
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0970
  article-title: Analyzing dynamic fracture process in fiber-reinforced composite materials with a peridynamic model
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2017.04.022
– volume: 9
  start-page: 675
  issue: 6
  year: 2011
  ident: 10.1016/j.compstruc.2024.107395_br0550
  article-title: An energy based failure criterion for use with peridynamic states
  publication-title: Int J Multiscale Comput Eng
  doi: 10.1615/IntJMultCompEng.2011002407
– volume: 9
  start-page: 635
  issue: 6
  year: 2011
  ident: 10.1016/j.compstruc.2024.107395_br0750
  article-title: Adaptive refinement and multiscale modeling in 2d peridynamics
  publication-title: Int J Multiscale Comput Eng
  doi: 10.1615/IntJMultCompEng.2011002793
– volume: 9
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2750
  article-title: Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
  publication-title: Results Appl Math
– volume: 235
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1000
  article-title: Axisymmetric peridynamic analysis of crack deflection in a single strand ceramic matrix composite
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2020.107074
– year: 2010
  ident: 10.1016/j.compstruc.2024.107395_br3440
  article-title: Peridynamic-models using finite elements for shock and vibration reliability of leadfree electronics
– volume: 142
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1340
  article-title: Three-dimensional crystal plasticity simulations using peridynamics theory and experimental comparison
  publication-title: Int J Plast
  doi: 10.1016/j.ijplas.2021.102991
– volume: 373
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0220
  article-title: A novel linear elastic constitutive model for continuum-kinematics-inspired peridynamics
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2020.113479
– volume: 277
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1270
  article-title: Peridynamics methodology for elasto-viscoplastic ductile fracture
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108939
– volume: 216
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3560
  article-title: Multi-phase fluid flow simulation by using peridynamic differential operator
  publication-title: Ocean Eng
  doi: 10.1016/j.oceaneng.2020.108081
– volume: 81
  start-page: 652
  year: 2014
  ident: 10.1016/j.compstruc.2024.107395_br0920
  article-title: Computational modeling of elastic properties of carbon nanotube/polymer composites with interphase regions. Part II: mechanical modeling
  publication-title: Comput Mater Sci
  doi: 10.1016/j.commatsci.2013.07.008
– volume: 155
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1600
  article-title: Peridynamics modelling of dynamic tensile failure in concrete
  publication-title: Int J Impact Eng
  doi: 10.1016/j.ijimpeng.2021.103918
– volume: 591
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3800
  article-title: Peridynamics modelling of coupled water flow and chemical transport in unsaturated porous media
  publication-title: J Hydrol
  doi: 10.1016/j.jhydrol.2020.125648
– volume: 264
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3610
  article-title: A peridynamics-immersed boundary-lattice Boltzmann method for fluid-structure interaction analysis
  publication-title: Ocean Eng
  doi: 10.1016/j.oceaneng.2022.112528
– volume: 24
  start-page: 3714
  issue: 11
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0100
  article-title: Peridynamics review
  publication-title: Math Mech Solids
  doi: 10.1177/1081286518803411
– volume: 339
  start-page: 416
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br1070
  article-title: A non-ordinary state-based peridynamics framework for anisotropic materials
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2018.05.007
– volume: 378
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2110
  article-title: Modeling of peridynamic beams and shells with transverse shear effect via interpolation method
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.113716
– year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1160
  article-title: CFD-informed rain drop impact damage predictions at hypersonic conditions
– volume: 177
  start-page: 180
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br3420
  article-title: Computational electromechanical peridynamics modeling of strain and damage sensing in nanocomposite bonded explosive materials (ncbx)
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2017.04.003
– volume: 141
  start-page: 245
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0410
  article-title: A generalized, ordinary, finite deformation constitutive correspondence model for peridynamics
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2018.02.026
– volume: 8
  start-page: 75
  issue: 2
  year: 2008
  ident: 10.1016/j.compstruc.2024.107395_br3310
  article-title: Peridynamic simulation of electromigration
  publication-title: Comput Mater Continua
– volume: 158
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2790
  article-title: 3-d coupled peridynamics and discrete element method for fracture and post-fracture behavior of soil-like materials
  publication-title: Comput Geotech
  doi: 10.1016/j.compgeo.2023.105372
– volume: 35
  start-page: 1226
  issue: 6
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3460
  article-title: Large deformation and wrinkling analyses of bimodular structures and membranes based on a peridynamic computational framework
  publication-title: Acta Mech Sin
  doi: 10.1007/s10409-019-00894-7
– volume: 406
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3730
  article-title: Peridynamics for mechanism analysis of soil desiccation cracking: coupled hygro-mechanical model, staggered and monolithic solution
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2023.115896
– volume: 137
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br0400
  article-title: A semi-Lagrangian constitutive correspondence framework for peridynamics
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2019.103862
– volume: 47
  start-page: 531
  issue: 3
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br3530
  article-title: Numerical analysis of peridynamic and classical models in transient heat transfer, employing Galerkin approach
  publication-title: Heat Transf Asian Res
  doi: 10.1002/htj.21317
– volume: 247
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3660
  article-title: Hydraulic fracturing network modeling based on peridynamics
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2021.107676
– volume: 322
  start-page: 42
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0190
  article-title: Stability of peridynamic correspondence material models and their particle discretizations
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2017.03.043
– volume: 172
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br0500
  article-title: A stabilized hybrid peridynamic method compatible with constitutive models of different dimensions
  publication-title: Soil Dyn Earthq Eng
  doi: 10.1016/j.soildyn.2023.107903
– year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br2950
– volume: 18
  start-page: 3133
  issue: 6
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3840
  article-title: Development of a non-local partial peridynamic explicit mesh-free incompressible method and its validation for simulating dry dense granular flows
  publication-title: Acta Geotech
  doi: 10.1007/s11440-022-01766-4
– volume: 202
  start-page: 765
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1740
  article-title: Generalized effective fields method in peridynamic micromechanics of random structure composites
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2020.06.022
– volume: 173
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1300
  article-title: A unified elasto-viscoplastic peridynamics model for brittle and ductile fractures under high-velocity impact loading
  publication-title: Int J Impact Eng
  doi: 10.1016/j.ijimpeng.2022.104471
– volume: 35
  start-page: 741
  issue: 3, SI
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3950
  article-title: A peridynamic-based machine learning model for one-dimensional and two-dimensional structures
  publication-title: Contin Mech Thermodyn
  doi: 10.1007/s00161-020-00905-0
– volume: 276
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3340
  article-title: State-based peridynamics for thermomechanical modeling of fracture mechanisms in nuclear fuel pellets
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108917
– volume: 126
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2760
  article-title: The unified nonlocal peridynamics-based phase-field damage theory
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2023.103980
– volume: 393
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2840
  article-title: An adaptive peridynamics material point method for dynamic fracture problem
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.114786
– volume: 209
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3380
  article-title: Numerical analysis of heat and mass transfer during hydrogen absorption in metal hydride beds with a novel peridynamic model
  publication-title: Appl Therm Eng
  doi: 10.1016/j.applthermaleng.2022.118294
– volume: 242
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1530
  article-title: A refined thermo-mechanical fully coupled peridynamics with application to concrete cracking
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2020.107463
– volume: 45
  start-page: 217
  issue: 2
  year: 2011
  ident: 10.1016/j.compstruc.2024.107395_br0630
  article-title: Mathematical analysis for the peridynamic nonlocal continuum theory
  publication-title: ESAIM: Math Model Numer Anal
  doi: 10.1051/m2an/2010040
– volume: 28
  start-page: 482
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2220
  article-title: Closed-form dispersion relationships in bond-based peridynamics
  publication-title: Proc Struct Integr
– volume: 69
  start-page: 1259
  issue: 6
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br0090
  article-title: A comparative review of peridynamics and phase-field models for engineering fracture mechanics
  publication-title: Comput Mech
  doi: 10.1007/s00466-022-02147-0
– volume: 242
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2920
  article-title: Revised non-ordinary state-based peridynamics and a new framework for coupling with finite element method
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2020.107483
– volume: 380
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1230
  article-title: Towards elasto-plastic continuum-kinematics-inspired peridynamics
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.113809
– volume: 39
  start-page: 253
  issue: 1, SI
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1820
  article-title: Peridynamic simulation of dynamic fracture in functionally graded materials subjected to impact load
  publication-title: Eng Comput
  doi: 10.1007/s00366-021-01540-2
– volume: 266
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1240
  article-title: Time-discontinuous state-based peridynamics for elasto-plastic dynamic fracture problems
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108392
– volume: 158
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1480
  article-title: Investigating time-dependent behavior of rocks using kinematic-constraint-inspired non-ordinary state-based peridynamics
  publication-title: Comput Geotech
  doi: 10.1016/j.compgeo.2023.105368
– volume: 96
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3330
  article-title: Nonlocal operator method for the Cahn-Hilliard phase field model
  publication-title: Commun Nonlinear Sci Numer Simul
  doi: 10.1016/j.cnsns.2020.105687
– volume: 386
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2140
  article-title: On nonlocal geometrically exact shell theory and modeling fracture in shell structures
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.114074
– volume: 52
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3250
  article-title: Size-and-thickness-dependent fracture patterns of hollow core-shell electrodes during lithiation
  publication-title: Extreme Mech Lett
  doi: 10.1016/j.eml.2022.101647
– year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br4110
  article-title: Peridynamics using irregular domain discretization with moose-based implementation
– volume: 240
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3120
  article-title: An energy-based ghost-force-free multivariate coupling scheme for bond-based peridynamics and classical continuum mechanics
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2020.107316
– volume: 247
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1010
  article-title: A modified peridynamic method to model the fracture behaviour of nanocomposites
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2021.107614
– volume: 188
  start-page: 151
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0160
  article-title: A novel conjugated bond linear elastic model in bond-based peridynamics for fracture problems under dynamic loads
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2017.07.031
– volume: 90
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2880
  article-title: Nonlocal operator method for dynamic brittle fracture based on an explicit phase field model
  publication-title: Eur J Mech A, Solids
  doi: 10.1016/j.euromechsol.2021.104380
– volume: 168
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br4090
  article-title: An open source peridynamics code for dynamic fracture in homogeneous and heterogeneous materials
  publication-title: Adv Eng Softw
  doi: 10.1016/j.advengsoft.2022.103124
– volume: 64
  start-page: 1
  year: 2014
  ident: 10.1016/j.compstruc.2024.107395_br3140
  article-title: Fully coupled peridynamic thermomechanics
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2013.10.011
– volume: 242
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0910
  article-title: A fully-discrete peridynamic modeling approach for tensile fracture of fiber-reinforced cementitious composites
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2020.107454
– volume: 176
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2380
  article-title: A fracture multiscale model for peridynamic enrichment within the partition of unity method
  publication-title: Adv Eng Softw
  doi: 10.1016/j.advengsoft.2022.103360
– volume: 122
  start-page: 4848
  issue: 18
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2320
  article-title: Peridynamic bond-associated correspondence model: wave dispersion property
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.6748
– volume: 76
  start-page: 41
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br3030
  article-title: An effective way to couple fem meshes and peridynamics grids for the solution of static equilibrium problems
  publication-title: Mech Res Commun
  doi: 10.1016/j.mechrescom.2016.06.006
– volume: 66
  start-page: 683
  issue: 3
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3110
  article-title: Coupling xfem and peridynamics for brittle fracture simulation: part ii-adaptive relocation strategy
  publication-title: Comput Mech
  doi: 10.1007/s00466-020-01872-8
– volume: 358
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br0690
  article-title: A nonlocal operator method for solving partial differential equations
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2019.112621
– volume: 272
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3870
  article-title: Data-driven bond-based peridynamics with nonlocal influence function for crack propagation
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108681
– volume: 120
  start-page: 107
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1570
  article-title: Multi-scale peridynamic formulations for chloride diffusion in concrete
  publication-title: Eng Anal Bound Elem
  doi: 10.1016/j.enganabound.2020.08.012
– volume: 117
  start-page: 713
  issue: 6
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0340
  article-title: Peridynamic bond-associated correspondence model: stability and convergence properties
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.5973
– volume: 269
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1640
  article-title: Two-grid based sequential peridynamic analysis method for quasi-static crack propagation
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108549
– volume: 2019
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br2290
  article-title: Wave dispersion and propagation in linear peridynamic media
  publication-title: Shock Vib
– volume: 121
  start-page: 571
  issue: 4
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br0460
  article-title: Implicit implementation of the stabilized non-ordinary state-based peridynamic model
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.6234
– volume: 418
  year: 2024
  ident: 10.1016/j.compstruc.2024.107395_br0590
  article-title: Bond-based nonlocal models by nonlocal operator method in symmetric support domain
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2023.116230
– volume: 90
  start-page: 141
  issue: 2
  year: 2009
  ident: 10.1016/j.compstruc.2024.107395_br0830
  article-title: Peridynamic theory for progressive damage prediction in center-cracked composite laminates
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2009.02.015
– volume: 199
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1040
  article-title: A continuum-kinematics-inspired peridynamic model of anisotropic continua: elasticity, damage, and fracture
  publication-title: Int J Mech Sci
  doi: 10.1016/j.ijmecsci.2021.106413
– volume: 414
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1280
  article-title: Higher-order nonlocal operator theory for phase-field modeling of ductile fracture in elasto-plastic materials
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2023.116054
– volume: 133
  start-page: 529
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br1730
  article-title: A peridynamic model for dynamic fracture in functionally graded materials
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2015.07.047
– volume: 197
  start-page: 92
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0800
  article-title: Thermomechanical peridynamic analysis with irregular non-uniform domain discretization
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2018.02.006
– volume: 24
  start-page: 40
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br2820
  article-title: A comparison of state-based peridynamics and solid mesh to sph conversion techniques to reproduce fragmentation of a ceramic tile subject to ballistic impact
  publication-title: Proc Struct Integr
– volume: 8
  start-page: 369
  issue: 2
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1420
  article-title: A curing model for the numerical simulation within additive manufacturing of soft polymers using peridynamics
  publication-title: Comput Part Mech
  doi: 10.1007/s40571-020-00337-2
– volume: 39
  start-page: 893
  issue: 1, SI
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1850
  article-title: Nonlocal modeling of bi-material and modulus graded plates using peridynamic differential operator
  publication-title: Eng Comput
  doi: 10.1007/s00366-022-01699-2
– volume: 113
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3360
  article-title: Peridynamic model for microballistic perforation of multilayer graphene
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2021.102947
– volume: 119
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br0170
  article-title: An improved bond-based peridynamic model with shear bonds for eliminating rigid body rotation
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2022.103369
– volume: 159
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2850
  article-title: Phase-field modeling and peridynamics for defect dynamics, and an augmented phase-field model with viscous stresses
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2021.104716
– volume: 122
  start-page: 403
  issue: 2
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0470
  article-title: A stable non-ordinary state-based peridynamic model for laminated composite materials
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.6542
– volume: 151
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2860
  article-title: Peridynamics-based discrete element method (peridem) model of granular systems involving breakage of arbitrarily shaped particles
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2021.104376
– volume: 225
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2080
  article-title: Numerical modelling of ductile fracture in steel plates with non-ordinary state-based peridynamics
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2019.04.020
– volume: 35
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1080
  article-title: A bond-based peridynamics model based on variable material properties for modeling elastoplastic behavior
  publication-title: Mater Today Commun
– volume: 4
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2670
  article-title: Coupling of iga and peridynamics for air-blast fluid-structure interaction using an immersed approach
  publication-title: Forces Mech
  doi: 10.1016/j.finmec.2021.100045
– volume: 145
  start-page: 444
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br3690
  article-title: A 3d peridynamic simulation of hydraulic fracture process in a heterogeneous medium
  publication-title: J Pet Sci Eng
  doi: 10.1016/j.petrol.2016.05.032
– volume: 279
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br0850
  article-title: Microstructure-based deformation and fracture modeling of particulate reinforced composites with ordinary state-based peridynamic theory
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2021.114734
– volume: 68
  start-page: 82
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3390
  article-title: Peridynamics model for flexoelectricity and damage
  publication-title: Appl Math Model
  doi: 10.1016/j.apm.2018.11.013
– volume: 147
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0110
  article-title: Review of peridynamic modelling of material failure and damage due to impact
  publication-title: Int J Impact Eng
  doi: 10.1016/j.ijimpeng.2020.103740
– volume: 60
  start-page: 725
  issue: 5
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br2330
  article-title: Wave dispersion and propagation in state-based peridynamics
  publication-title: Comput Mech
  doi: 10.1007/s00466-017-1439-7
– volume: 120
  start-page: 471
  issue: 3
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br4160
  article-title: Integration of peridynamic theory and opensees for solving problems in civil engineering
  publication-title: Comput Model Eng Sci
– volume: 192
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2930
  article-title: Coupling of meshfree peridynamics with the finite volume method for poroelastic problems
  publication-title: J Pet Sci Eng
  doi: 10.1016/j.petrol.2020.107252
– volume: 262
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1870
  article-title: Progressive failure analysis of cylindrical shell under hydrostatic pressure based on an extended bond-based peridynamic method
  publication-title: Ocean Eng
  doi: 10.1016/j.oceaneng.2022.112272
– volume: 254
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2090
  article-title: Improved Timoshenko beam-based micropolar peridynamic method incorporating particle geometry
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2021.107909
– volume: 43
  start-page: 1169
  issue: 15
  year: 2007
  ident: 10.1016/j.compstruc.2024.107395_br3970
  article-title: Peridynamics via finite element analysis
  publication-title: Finite Elem Anal Des
  doi: 10.1016/j.finel.2007.08.012
– volume: 33
  start-page: 1726
  issue: 5
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0650
  article-title: Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator
  publication-title: Numer Methods Partial Differ Equ
  doi: 10.1002/num.22167
– volume: 77
  start-page: 852
  issue: 6
  year: 2009
  ident: 10.1016/j.compstruc.2024.107395_br0710
  article-title: Convergence, adaptive refinement, and scaling in 1D peridynamics
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.2439
– volume: 401
  issue: B
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2810
  article-title: A multiscale method coupling peridynamic and boundary element models for dynamic problems
  publication-title: Comput Methods Appl Mech Eng
– volume: 337
  start-page: 598
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0360
  article-title: Weak form of peridynamics for nonlocal essential and natural boundary conditions
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2018.03.038
– volume: 372
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br4020
  article-title: Abaqus implementation of dual peridynamics for brittle fracture
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2020.113398
– volume: 108
  start-page: 801
  year: 2014
  ident: 10.1016/j.compstruc.2024.107395_br0900
  article-title: Peridynamic analytical method for progressive damage in notched composite laminates
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2013.10.018
– volume: 108
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3000
  article-title: A coupling model of xfem/peridynamics for 2d dynamic crack propagation and branching problems
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2020.102573
– volume: 125
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3240
  article-title: Peridynamic model of deformation and failure for rock material under the coupling effect of multi-physical fields
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2023.103912
– volume: 158
  start-page: 18
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1030
  article-title: Peridynamic analysis of fibre-matrix debond and matrix failure mechanisms in composites under transverse tensile load by an energy-based damage criterion
  publication-title: Composites, Part B, Eng
  doi: 10.1016/j.compositesb.2018.08.084
– volume: 28
  start-page: 4655
  issue: 7
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0120
  article-title: A review on the developments of peridynamics for reinforced concrete structures
  publication-title: Arch Comput Methods Eng
  doi: 10.1007/s11831-021-09549-y
– volume: 398
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2680
  article-title: Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.115193
– volume: 2019
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br2500
  article-title: Studies on quasi-static and fatigue crack propagation behaviours in friction stir welded joints using peridynamic theory
  publication-title: Adv Mater Sci Eng
  doi: 10.1155/2019/5105612
– volume: 400
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3670
  article-title: Updated Lagrangian unsaturated periporomechanics for extreme large deformation in unsaturated porous media
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.115511
– volume: 15
  start-page: 990
  issue: 4
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3520
  article-title: A dual-horizon nonlocal diffusion model and its finite element discretization
  publication-title: Numer Math, Theory Methods Appl
  doi: 10.4208/nmtma.OA-2022-0004s
– volume: 86
  start-page: 192
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br1100
  article-title: Ordinary state-based peridynamics for plastic deformation according to von Mises yield criteria with isotropic hardening
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2015.09.016
– volume: 83
  issue: 11
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br2340
  article-title: Wave dispersion and basic concepts of peridynamics compared to classical nonlocal damage models
  publication-title: J Appl Mech
  doi: 10.1115/1.4034319
– year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0070
– volume: 66
  start-page: 1245
  issue: 7
  year: 2013
  ident: 10.1016/j.compstruc.2024.107395_br0620
  article-title: The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
  publication-title: Comput Math Appl
  doi: 10.1016/j.camwa.2013.07.022
– volume: 159
  start-page: 336
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1130
  article-title: A non-ordinary state-based peridynamic formulation for thermo-visco-plastic deformation and impact fracture
  publication-title: Int J Mech Sci
  doi: 10.1016/j.ijmecsci.2019.06.008
– volume: 123
  start-page: 5201
  issue: 21
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1380
  article-title: The extended peridynamic model for elastoplastic and/or fracture problems
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.7060
– volume: 147
  issue: 1
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0140
  article-title: State-of-the-art review on the progressive failure characteristics of geomaterials in peridynamic theory
  publication-title: J Eng Mech
  doi: 10.1061/(ASCE)EM.1943-7889.0001876
– volume: 368
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3300
  article-title: Higher-order nonlocal theory of updated Lagrangian particle hydrodynamics (ulph) and simulations of multiphase flows
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2020.113176
– volume: 2023
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1390
  article-title: A general finite deformation hypoelastic-plasticity non-ordinary state-based peridynamics model and its applications
  publication-title: Eng Comput
– volume: 162
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2460
  article-title: Titanium alloy corrosion fatigue crack growth rates prediction: peridynamics based numerical approach
  publication-title: Int J Fatigue
  doi: 10.1016/j.ijfatigue.2022.107023
– volume: 132
  start-page: 610
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br0930
  article-title: Peridynamic modeling of delamination growth in composite laminates
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2015.05.079
– volume: 117
  start-page: 104
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br0440
  article-title: A higher-order stress point method for non-ordinary state-based peridynamics
  publication-title: Eng Anal Bound Elem
  doi: 10.1016/j.enganabound.2020.03.016
– volume: 386
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3910
  article-title: A machine-learning framework for peridynamic material models with physical constraints
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.114062
– volume: 229
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1700
  article-title: Combined peridynamic and finite element analyses for failure prediction in periodic and partially periodic perforated structures
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2019.111481
– volume: 9
  start-page: 597
  issue: 4
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2300
  article-title: Improved wave dispersion properties in 1d and 2d bond-based peridynamic media
  publication-title: Comput Part Mech
  doi: 10.1007/s40571-021-00433-x
– volume: 83
  start-page: 1526
  issue: 17–18
  year: 2005
  ident: 10.1016/j.compstruc.2024.107395_br0560
  article-title: A meshfree method based on the peridynamic model of solid mechanics
  publication-title: Comput Struct
  doi: 10.1016/j.compstruc.2004.11.026
– volume: 60
  start-page: 1088
  issue: 6
  year: 2012
  ident: 10.1016/j.compstruc.2024.107395_br2830
  article-title: A morphing strategy to couple non-local to local continuum mechanics
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2012.02.009
– volume: 171
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3400
  article-title: A spectrum improved peridynamic model for shock wave problems
  publication-title: Int J Impact Eng
  doi: 10.1016/j.ijimpeng.2022.104387
– volume: 366
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3640
  article-title: Hybrid fem and peridynamic simulation of hydraulic fracture propagation in saturated porous media
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2020.113101
– volume: 322
  start-page: 97
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0320
  article-title: Numerical experiments on the convergence properties of state-based peridynamic laws and influence functions in two-dimensional problems
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2017.04.016
– volume: 167
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1710
  article-title: Multiband homogenization of metamaterials in real-space: higher-order nonlocal models and scattering at external surfaces
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2022.104992
– volume: 392
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br4100
  article-title: A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.114666
– volume: 103
  start-page: 266
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1620
  article-title: Peridynamic modelling of reinforced concrete structures
  publication-title: Eng Fail Anal
  doi: 10.1016/j.engfailanal.2019.05.004
– volume: 145
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3790
  article-title: On the peridynamic effective force state and multiphase constitutive correspondence principle
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2020.104161
– volume: 188
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2390
  article-title: Analytical solutions of peridynamic equations. Part II: elastic wave propagation
  publication-title: Int J Eng Sci
  doi: 10.1016/j.ijengsci.2023.103866
– volume: 169
  start-page: 238
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br1560
  article-title: Fracture analysis of fiber reinforced concrete structures in the micropolar peridynamic' analysis framework
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2016.11.004
– volume: 279
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2150
  article-title: A non-linear direct peridynamics plate theory
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2021.114728
– volume: 318
  start-page: 349
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br0290
  article-title: A peridynamics-sph modeling and simulation of blast fragmentation of soil under buried explosive loads
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2017.01.026
– volume: 213
  start-page: 72
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br2610
  article-title: Static and free vibration analysis of Timoshenko beam based on combined peridynamic-classical theory besides fem formulation
  publication-title: Comput Struct
  doi: 10.1016/j.compstruc.2018.11.007
– volume: 218
  start-page: 193
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1950
  article-title: Stress analysis of laminated composite beams using refined zigzag theory and peridynamic differential operator
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2019.03.035
– volume: 2023
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br4040
  article-title: Direct coupling of dual-horizon peridynamics with finite elements for irregular discretization without an overlap zone
  publication-title: Eng Comput
– volume: 264
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2420
  article-title: A peridynamic frictional contact model for contact fatigue crack initiation and propagation
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108338
– volume: 64
  start-page: 1097
  issue: 4
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3810
  article-title: A coupling peridynamic approach for the consolidation and dynamic analysis of saturated porous media
  publication-title: Comput Mech
  doi: 10.1007/s00466-019-01695-2
– volume: 260
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br4070
  article-title: Ansys implementation of a coupled 3d peridynamic and finite element analysis for crack propagation under quasi-static loading
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2021.108179
– volume: 371
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br2620
  article-title: A smoothed particle hydrodynamics-peridynamics coupling strategy for modeling fluid-structure interaction problems
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2020.113298
– volume: 268
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1460
  article-title: Failure modeling of concrete: a peri-dynamical approach with bond-based correspondence to bi-scalar damage model
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2022.108470
– volume: 31
  start-page: 500
  issue: 2, SI
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br4200
  article-title: Stability and accuracy of time-stepping schemes and dispersion relations for a nonlocal wave equation
  publication-title: Numer Methods Partial Differ Equ
  doi: 10.1002/num.21931
– volume: 422
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br3880
  article-title: npinns: nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2020.109760
– volume: 381
  issue: 2240
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2510
  article-title: A peridynamic approach to simulating fatigue crack propagation in composite materials
  publication-title: Philos Trans - Royal Soc, Math Phys Eng Sci
– volume: 397
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2170
  article-title: A nonlocal nonlinear stiffened shell theory with stiffeners modeled as geometrically-exact beams
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.115150
– volume: 112
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3930
  article-title: A physics-guided machine learning model for two-dimensional structures based on ordinary state-based peridynamics
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2020.102872
– volume: 151
  start-page: 136
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br0670
  article-title: Discussion on the form of construction function in the peridynamic differential operator based on relative function
  publication-title: Eng Anal Bound Elem
  doi: 10.1016/j.enganabound.2023.02.042
– year: 2006
  ident: 10.1016/j.compstruc.2024.107395_br0810
  article-title: Peridynamic analysis of damage and failure in composites
– volume: 452
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3590
  article-title: A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2021.110919
– volume: 190
  start-page: 31
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0370
  article-title: Revisit of non-ordinary state-based peridynamics
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2017.11.039
– volume: 46
  start-page: 1186
  issue: 5
  year: 2009
  ident: 10.1016/j.compstruc.2024.107395_br0570
  article-title: A non-ordinary state-based peridynamic method to model solid material deformation and fracture
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2008.10.029
– volume: 150
  start-page: 71
  year: 2015
  ident: 10.1016/j.compstruc.2024.107395_br0280
  article-title: On the similarity of meshless discretizations of peridynamics and smooth-particle hydrodynamics
  publication-title: Comput Struct
  doi: 10.1016/j.compstruc.2014.12.011
– volume: 35
  start-page: 1021
  issue: 5
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0430
  article-title: Improved method for zero-energy mode suppression in peridynamic correspondence model
  publication-title: Acta Mech Sin
  doi: 10.1007/s10409-019-00873-y
– volume: 12
  start-page: 548
  issue: 4
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br1660
  article-title: Peridynamics versus xfem: a comparative study for quasi-static crack problems
  publication-title: Front Struct Civil Eng
  doi: 10.1007/s11709-017-0434-6
– volume: 267
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1930
  article-title: A novel mixed finite element formulation based on the refined zigzag theory for the stress analysis of laminated composite plates
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2021.113886
– volume: 38
  start-page: 3037
  issue: 8
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br3170
  article-title: Simulation of thermal shock cracking in ceramics using bond-based peridynamics and fem
  publication-title: J Eur Ceram Soc
  doi: 10.1016/j.jeurceramsoc.2017.12.039
– volume: 261
  start-page: 209
  year: 2014
  ident: 10.1016/j.compstruc.2024.107395_br3540
  article-title: A peridynamic formulation of pressure driven convective fluid transport in porous media
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2013.12.039
– volume: 195
  start-page: 104
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0540
  article-title: A state-based peridynamic analysis in a finite element framework
  publication-title: Eng Fract Mech
  doi: 10.1016/j.engfracmech.2018.03.033
– volume: 10
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br0870
  article-title: Peridynamic modeling of nonlocal degrading interfaces in composites
  publication-title: Forces Mech
  doi: 10.1016/j.finmec.2022.100124
– volume: 89
  issue: 6
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1650
  article-title: Critical comparison of phase-field, peridynamics, and crack band model m7 in light of gap test and classical fracture tests
  publication-title: J Appl Mech
  doi: 10.1115/1.4054221
– volume: 220
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br1250
  article-title: A coupling model of element-based peridynamics and finite element method for elastic-plastic deformation and fracture analysis
  publication-title: Int J Mech Sci
  doi: 10.1016/j.ijmecsci.2022.107170
– volume: 128
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2530
  article-title: An improved peridynamic approach for fatigue analysis of two dimensional functionally graded materials
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2023.104152
– volume: 112
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2060
  article-title: Mixed-mode stress intensity factors evaluation of flat shells under in-plane loading employing ordinary state-based peridynamics
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2020.102841
– volume: 301
  start-page: 336
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br2990
  article-title: A morphing approach to couple state-based peridynamics with classical continuum mechanics
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2015.12.024
– volume: 146
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1960
  article-title: Stress analysis of sandwich plates with functionally graded cores using peridynamic differential operator and refined zigzag theory
  publication-title: Thin-Walled Struct
  doi: 10.1016/j.tws.2019.106468
– volume: 391
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2690
  article-title: Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2021.114520
– volume: 103
  start-page: 591
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br2430
  article-title: Mixed-mode fatigue crack growth analysis using peridynamic approach
  publication-title: Int J Fatigue
  doi: 10.1016/j.ijfatigue.2017.06.008
– start-page: 544
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br4000
  article-title: Peridynamic direct concentration approach by using ansys
– volume: 108
  start-page: 1451
  issue: 12
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br0770
  article-title: Dual-horizon peridynamics
  publication-title: Int J Numer Methods Eng
  doi: 10.1002/nme.5257
– volume: 86
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br2120
  article-title: Construction of peridynamic beam and shell models on the basis of the micro-beam bond obtained via interpolation method
  publication-title: Eur J Mech A, Solids
  doi: 10.1016/j.euromechsol.2020.104174
– volume: 339
  start-page: 262
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br0300
  article-title: A stabilized non-ordinary state-based peridynamic model
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2018.05.002
– volume: 1
  start-page: 14
  issue: 1
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br0080
  article-title: A review of benchmark experiments for the validation of peridynamics models
  publication-title: J Peridyn Nonlocal Model
  doi: 10.1007/s42102-018-0004-x
– volume: 398
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br4030
  article-title: Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.115208
– volume: 279
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2010
  article-title: Large deformation analysis of functionally graded beam with variable cross-section by using peridynamic differential operator
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2021.114788
– volume: 310
  start-page: 605
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br0610
  article-title: Robust a posteriori stress analysis for quadrature collocation approximations of nonlocal models via nonlocal gradients
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2016.07.023
– volume: 185
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1980
  article-title: Peridynamic modeling of adhesively bonded beams with modulus graded adhesives using refined zigzag theory
  publication-title: Int J Mech Sci
  doi: 10.1016/j.ijmecsci.2020.105866
– volume: 222
  issue: 223
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1750
  article-title: Fully meshfree numerical analysis of nonlocal damage in voxel-based material models from microtomography
  publication-title: Int J Solids Struct
– volume: 270
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3710
  article-title: Coupled pd-sph modeling for fluid-structure interaction problems with large deformation and fracturing
  publication-title: Comput Struct
  doi: 10.1016/j.compstruc.2022.106847
– volume: 113
  start-page: 154
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br3280
  article-title: Electromechanical peridynamics modeling of piezoresistive response of carbon nanotube nanocomposites
  publication-title: Comput Mater Sci
  doi: 10.1016/j.commatsci.2015.11.008
– volume: 156
  start-page: 182
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1140
  article-title: A peridynamic plastic model based on von Mises criteria with isotropic, kinematic and mixed hardenings under cyclic loading
  publication-title: Int J Mech Sci
  doi: 10.1016/j.ijmecsci.2019.03.033
– volume: 348
  start-page: 493
  year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br3550
  article-title: An updated Lagrangian particle hydrodynamics (ulph) for Newtonian fluids
  publication-title: J Comput Phys
  doi: 10.1016/j.jcp.2017.07.031
– start-page: 820
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1680
  article-title: Peridynamic modelling of periodic microstructured materials
– volume: 60
  start-page: 73
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br2970
  article-title: Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments
  publication-title: Wave Motion
  doi: 10.1016/j.wavemoti.2015.08.005
– year: 2024
  ident: 10.1016/j.compstruc.2024.107395_br0790
  article-title: Dual horizon peridynamic approach for studying the effect of porous media on the dynamic crack growth in brittle materials
  publication-title: J Peridyn Nonlocal Model
  doi: 10.1007/s42102-023-00115-7
– volume: 214
  start-page: 49
  issue: 1
  year: 2018
  ident: 10.1016/j.compstruc.2024.107395_br1020
  article-title: A peridynamic failure analysis of fiber-reinforced composite laminates using finite element discontinuous Galerkin approximations
  publication-title: Int J Fract
  doi: 10.1007/s10704-018-0317-4
– volume: 175
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br3500
  article-title: An embedded discontinuity peridynamic model for nonlocal heat conduction with interfacial thermal resistance
  publication-title: Int J Heat Mass Transf
  doi: 10.1016/j.ijheatmasstransfer.2021.121195
– year: 2017
  ident: 10.1016/j.compstruc.2024.107395_br3010
  article-title: Peridynamic augmented XFEM
– volume: 9
  start-page: 428
  issue: 10
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br3750
  article-title: Coupled analysis of desiccation cracking in unsaturated soils through a non-local mathematical formulation
  publication-title: Geosciences
  doi: 10.3390/geosciences9100428
– volume: 87
  start-page: 14
  year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br3820
  article-title: A hybrid peridynamics-sph simulation of soil fragmentation by blast loads of buried explosive
  publication-title: Int J Impact Eng
  doi: 10.1016/j.ijimpeng.2015.08.006
– volume: 68
  start-page: 1349
  issue: 6
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br0640
  article-title: On differences and comparisons of peridynamic differential operators and nonlocal differential operators
  publication-title: Comput Mech
  doi: 10.1007/s00466-021-02072-8
– volume: 105
  start-page: 31
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br1720
  article-title: Numerical simulation of dynamic fracture in functionally graded materials using peridynamic modeling with composite weighted bonds
  publication-title: Eng Anal Bound Elem
  doi: 10.1016/j.enganabound.2019.04.005
– volume: 18
  start-page: 1789
  issue: 5–6
  year: 2019
  ident: 10.1016/j.compstruc.2024.107395_br2350
  article-title: Experimental verification and validation of nonlocal peridynamic approach for simulating guided lamb wave propagation and damage interaction
  publication-title: Struct Health Monit - Int J
  doi: 10.1177/1475921719833754
– volume: 101
  year: 2020
  ident: 10.1016/j.compstruc.2024.107395_br1990
  article-title: Elastic flexural analysis of adhesively bonded similar and dissimilar beams using refined zigzag theory and peridynamic differential operator
  publication-title: Int J Adhes Adhes
  doi: 10.1016/j.ijadhadh.2020.102631
– volume: 34
  issue: 4
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3830
  article-title: Stochastic micromechanical damage model for porous materials under uniaxial tension
  publication-title: J Mater Civ Eng
  doi: 10.1061/(ASCE)MT.1943-5533.0004146
– volume: 179
  start-page: 777
  issue: 11
  year: 2008
  ident: 10.1016/j.compstruc.2024.107395_br3980
  article-title: Implementing peridynamics within a molecular dynamics code
  publication-title: Comput Phys Commun
  doi: 10.1016/j.cpc.2008.06.011
– volume: 48
  start-page: 175
  issue: 1
  year: 2000
  ident: 10.1016/j.compstruc.2024.107395_br0010
  article-title: Reformulation of elasticity theory for discontinuities and long-range forces
  publication-title: J Mech Phys Solids
  doi: 10.1016/S0022-5096(99)00029-0
– volume: 401
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br3700
  article-title: A coupled sph-pd model for fluid-structure interaction in an irregular channel flow considering the structural failure
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.115573
– volume: 53
  start-page: 194
  issue: 3
  year: 2010
  ident: 10.1016/j.compstruc.2024.107395_br0720
  article-title: An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2010.08.001
– volume: 88
  start-page: 151
  issue: 2
  year: 2007
  ident: 10.1016/j.compstruc.2024.107395_br0020
  article-title: Peridynamic states and constitutive modeling
  publication-title: J Elast
  doi: 10.1007/s10659-007-9125-1
– year: 2024
  ident: 10.1016/j.compstruc.2024.107395_br3230
  article-title: Water droplet impact damage in ceramics at subsonic and supersonic velocities
– volume: 190
  start-page: 1
  issue: 1–2
  year: 2014
  ident: 10.1016/j.compstruc.2024.107395_br0760
  article-title: Crack propagation with adaptive grid refinement in 2d peridynamics
  publication-title: Int J Fract
  doi: 10.1007/s10704-014-9970-4
– volume: 399
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br4120
  article-title: Computationally efficient and effective peridynamic model for cracks and fractures in homogeneous and heterogeneous materials
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2022.115318
– year: 2016
  ident: 10.1016/j.compstruc.2024.107395_br2660
  article-title: Peridynamic truss element for viscoelastic deformation
– volume: 305
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br1760
  article-title: Peridynamic electromechanical modeling of damaging and cracking in conductive composites: a stochastically homogenized approach
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2022.116528
– volume: 2022
  year: 2022
  ident: 10.1016/j.compstruc.2024.107395_br2190
  article-title: Peridynamic shell model based on micro-beam bond
  publication-title: Comput Model Eng Sci
– volume: 407
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br2360
  article-title: Peri dynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2023.115948
– volume: 244
  year: 2021
  ident: 10.1016/j.compstruc.2024.107395_br1440
  article-title: A practical bond-based peridynamic modeling of reinforced concrete structures
  publication-title: Eng Struct
  doi: 10.1016/j.engstruct.2021.112748
– volume: 51
  start-page: 2298
  issue: 12
  year: 2011
  ident: 10.1016/j.compstruc.2024.107395_br3410
  article-title: Crack propagation in multilayer thin-film structures of electronic packages using the peridynamic theory
  publication-title: Microelectron Reliab
  doi: 10.1016/j.microrel.2011.05.011
– volume: 123
  year: 2023
  ident: 10.1016/j.compstruc.2024.107395_br3680
  article-title: A novel hybrid model for hydraulic fracture simulation based on peridynamic theory and extended finite element method
  publication-title: Theor Appl Fract Mech
  doi: 10.1016/j.tafmec.2022.103731
SSID ssj0006400
Score 2.6080685
SecondaryResourceType review_article
Snippet This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations,...
SourceID osti
crossref
elsevier
SourceType Open Access Repository
Enrichment Source
Index Database
Publisher
StartPage 107395
SubjectTerms Failure analyses
MATHEMATICS AND COMPUTING
Nonlocal operator method
Numerical analyses
Peridynamic differential operator
Peridynamics
Title A review of peridynamic theory and nonlocal operators along with their computer implementations
URI https://dx.doi.org/10.1016/j.compstruc.2024.107395
https://www.osti.gov/biblio/2350738
Volume 299
WOSCitedRecordID wos001240783900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals 2021
  issn: 0045-7949
  databaseCode: AIEXJ
  dateStart: 19950103
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: false
  ssIdentifier: ssj0006400
  providerName: Elsevier
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwELaWLQc4IJ6iLSAfuFWpGttxYm4rVFQ4VAiKtLfIdmyx1Xaz6nZL-RH9z4xfSVoVLT1wiaJkx3F2vozt8cw3CL1XuZC8VAbWJtxmjNkmk7KiWUkOuOFcNbqwvthEeXxcTafi62h0nXJhLuflYlFdXYnlf1U1XANlu9TZe6i7axQuwDkoHY6gdjj-k-Ing3QUR2PchJrzIWUxsC3Bkt-PYXvt0vht9tWenLedV9bvHehY7sHlUcYQ8963l6gN4m9WHkCBinZ9PqhVDytbGDfX3utqfp71ydbfgrU7Ws_cc3vv9Tq6r6cz2f6e9Xe-zzx3eIxL-5WYmaK7grAuWK4zwcxxZAae0mSCSSiSFI1o7ncP77TvwdVw6tSz9G-1756x30vcZNS-NdJ18YcptO207hqqXUN1aOgB2iJlIcBIbk0-H06_dEM7ZymnKbzDjYDBO_v0t-nOuAULPpjJnDxFT-ISBE8CdJ6hkVk8R48HxJQvUD3BAUS4tXgAIhxAhAFEOIEIdyDCHkTYgQh7EOEEInwLRC_Rj0-HJx-PsliKI9NU5BcZkYwTURhRqIJRSU0lrdUVtTlvKlNRk9PCqsYIbjURrNKKGdKYvDGKqbKw9BUaQ7fMa4TdoFIql-CsLVNWSWGoJNQWjW24bsQ24ukfq3XkqXflUub1Bq1to4NOcBmoWjaLfEgqqeOMM8wkawDcZuFdp0Qn6PiWtQtMA0lCYYlFq53792YXPeq_mDdoDPfNW_RQX17MVufvIhb_ADM8uOw
linkProvider Elsevier
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+review+of+peridynamic+theory+and+nonlocal+operators+along+with+their+computer+implementations&rft.jtitle=Computers+%26+structures&rft.au=Dorduncu%2C+Mehmet&rft.au=Ren%2C+Huilong&rft.au=Zhuang%2C+Xiaoying&rft.au=Silling%2C+Stewart&rft.date=2024-08-01&rft.issn=0045-7949&rft.volume=299&rft.spage=107395&rft_id=info:doi/10.1016%2Fj.compstruc.2024.107395&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_compstruc_2024_107395
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0045-7949&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0045-7949&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0045-7949&client=summon