Coupling of mesh-free methods with finite elements: basic concepts and test results
This paper reviews several novel and older methods for coupling mesh‐free particle methods, particularly the element‐free Galerkin (EFG) method and the smooth particle hydrodynamics (SPH), with finite elements (FEs). We study master–slave couplings where particles are fixed across the FE boundary, c...
Uloženo v:
| Vydáno v: | Communications in numerical methods in engineering Ročník 22; číslo 10; s. 1031 - 1065 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Chichester, UK
John Wiley & Sons, Ltd
01.10.2006
Wiley |
| Témata: | |
| ISSN: | 1069-8299, 1099-0887 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | This paper reviews several novel and older methods for coupling mesh‐free particle methods, particularly the element‐free Galerkin (EFG) method and the smooth particle hydrodynamics (SPH), with finite elements (FEs). We study master–slave couplings where particles are fixed across the FE boundary, coupling via interface shape functions such that consistency conditions are satisfied, bridging domain coupling, compatibility coupling with Lagrange multipliers and hybrid coupling methods where forces from the particles are applied via their shape functions on the FE nodes and vice versa. The hybrid coupling methods are well suited for large deformations and adaptivity and the coupling procedure is independent of the particle distance and nodal arrangement. We will study the methods for several static and dynamic applications, compare the results to analytical and experimental data and show advantages and drawbacks of the methods. Copyright © 2006 John Wiley & Sons, Ltd. |
|---|---|
| AbstractList | This paper reviews several novel and older methods for coupling mesh-free particle methods, particularly the element-free Galerkin (EFG) method and the smooth particle hydrodynamics (SPH), with finite elements (FEs). We study master-slave couplings where particles are fixed across the FE boundary, coupling via interface shape functions such that consistency conditions are satisfied, bridging domain coupling, compatibility coupling with Lagrange multipliers and hybrid coupling methods where forces from the particles are applied via their shape functions on the FE nodes and vice versa. The hybrid coupling methods are well suited for large deformations and adaptivity and the coupling procedure is independent of the particle distance and nodal arrangement. We will study the methods for several static and dynamic applications, compare the results to analytical and experimental data and show advantages and drawbacks of the methods. This paper reviews several novel and older methods for coupling mesh‐free particle methods, particularly the element‐free Galerkin (EFG) method and the smooth particle hydrodynamics (SPH), with finite elements (FEs). We study master–slave couplings where particles are fixed across the FE boundary, coupling via interface shape functions such that consistency conditions are satisfied, bridging domain coupling, compatibility coupling with Lagrange multipliers and hybrid coupling methods where forces from the particles are applied via their shape functions on the FE nodes and vice versa. The hybrid coupling methods are well suited for large deformations and adaptivity and the coupling procedure is independent of the particle distance and nodal arrangement. We will study the methods for several static and dynamic applications, compare the results to analytical and experimental data and show advantages and drawbacks of the methods. Copyright © 2006 John Wiley & Sons, Ltd. |
| Author | Xiao, S. P. Rabczuk, T. Sauer, M. |
| Author_xml | – sequence: 1 givenname: T. surname: Rabczuk fullname: Rabczuk, T. email: Timon.Rabczuk@lnm.mur.tum.de organization: Institute for Numerical Mechanics, University of Munich, Garching, Germany – sequence: 2 givenname: S. P. surname: Xiao fullname: Xiao, S. P. email: shaoping-xiao@uiowa.edu organization: Department of Mechanical and Industrial Engineering, University of Iowa, Iowa City, U.S.A – sequence: 3 givenname: M. surname: Sauer fullname: Sauer, M. email: sauer@emi.fhg.de organization: Fraunhofer Institute for Short Time Dynamics, Ernst-Mach-Institute, Eckerstrasse 4, 79106 Freiburg, Germany |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18136487$$DView record in Pascal Francis |
| BookMark | eNqN0V1rFDEUBuAgFWyr-Bdy4wfI1JP5yId3utgq1HphtZchkzlxozPJmmSp_fem7NILRfHqHDgPLwfeI3IQYkBCHjM4YQDtSxuWEynYPXLIQKkGpBQHtztXjWyVekCOcv4GAAokHJJPq7jdzD58pdHRBfO6cQmxbmUdp0yvfVlT54MvSHHGBUPJr-hosrfUxmBxUzI1YaIFc6EJ83Yu-SG578yc8dF-HpPPp28vV--a849n71evzxvbD4o1zvYGWCvshNPEB-TKuF5wcEraHpwb-WBRqlGM2I3ScmZc59SE9QIdqKk7Jk93uZsUf2zrA3rx2eI8m4Bxm3Wr2CDU0Ff4_J-QcVHdIOE_KMiWKejUUOmTPTXZmtklE6zPepP8YtKNZpJ1vJeiumbnbIo5J3Ta-mKKj6Ek4-caqW-L07U4XYur_tlv_i7yD_liJ6_9jDd_Y3p18WGn93_4XPDnnTbpu-aiE4O-ujjT8OXq9I0C0JfdL54Ht9o |
| CitedBy_id | crossref_primary_10_1016_j_apm_2009_11_015 crossref_primary_10_1016_j_engfracmech_2016_05_007 crossref_primary_10_1080_15376494_2015_1029171 crossref_primary_10_3390_app8122350 crossref_primary_10_1177_0954406212466766 crossref_primary_10_1016_j_ijimpeng_2017_11_003 crossref_primary_10_3390_ma14092288 crossref_primary_10_1016_j_enganabound_2016_01_001 crossref_primary_10_1016_j_ijimpeng_2018_11_006 crossref_primary_10_1088_1361_651X_aa938e crossref_primary_10_1016_j_finel_2023_103927 crossref_primary_10_1155_2019_8610790 crossref_primary_10_1016_j_ijimpeng_2025_105255 crossref_primary_10_1016_j_tafmec_2014_03_005 crossref_primary_10_1016_j_commatsci_2014_10_004 crossref_primary_10_1016_j_ijimpeng_2010_10_023 crossref_primary_10_1002_nme_2991 crossref_primary_10_1002_nme_5581 crossref_primary_10_1016_j_ijimpeng_2022_104207 crossref_primary_10_1108_EC_06_2015_0166 crossref_primary_10_1063_2_1202103 crossref_primary_10_1002_cnm_1169 crossref_primary_10_1016_j_matcom_2008_01_003 crossref_primary_10_1088_1742_6596_125_1_012054 crossref_primary_10_1631_jzus_A0820286 crossref_primary_10_1016_j_tafmec_2017_05_010 crossref_primary_10_1016_j_engstruct_2009_07_001 crossref_primary_10_1177_1369433216656430 crossref_primary_10_1016_j_enganabound_2016_05_005 crossref_primary_10_1016_j_ijsolstr_2015_07_010 crossref_primary_10_1007_s11831_016_9198_8 crossref_primary_10_1016_j_cma_2013_07_018 crossref_primary_10_1016_j_commatsci_2012_09_002 crossref_primary_10_1007_s11668_012_9555_3 crossref_primary_10_1016_j_ijimpeng_2017_03_005 crossref_primary_10_1016_j_cma_2021_113827 crossref_primary_10_1016_j_cma_2011_07_014 crossref_primary_10_1016_j_cma_2014_08_025 crossref_primary_10_1016_j_compstruc_2016_08_008 crossref_primary_10_1016_j_infrared_2025_106149 crossref_primary_10_1016_j_compstruc_2015_08_002 crossref_primary_10_1016_j_ijheatmasstransfer_2014_08_041 crossref_primary_10_1080_15376494_2019_1602237 crossref_primary_10_1007_s10665_010_9442_4 crossref_primary_10_1016_j_mechrescom_2016_06_006 crossref_primary_10_1016_j_tws_2011_07_003 crossref_primary_10_1016_j_cagd_2016_02_014 crossref_primary_10_1016_j_commatsci_2014_10_023 crossref_primary_10_1016_j_ijimpeng_2010_01_006 crossref_primary_10_1016_j_ijimpeng_2015_03_013 crossref_primary_10_1007_s11709_019_0548_0 crossref_primary_10_1016_j_commatsci_2012_11_025 crossref_primary_10_1080_15376494_2013_779050 crossref_primary_10_1007_s00466_017_1417_0 crossref_primary_10_1016_j_tafmec_2016_08_001 crossref_primary_10_1016_j_apm_2010_02_011 crossref_primary_10_1016_j_compstruc_2016_10_012 crossref_primary_10_1155_2014_262494 crossref_primary_10_1002_cav_1594 crossref_primary_10_1002_cnm_1341 crossref_primary_10_1016_j_compstruc_2011_06_002 crossref_primary_10_1016_j_tafmec_2016_12_002 crossref_primary_10_1051_e3sconf_202343402023 crossref_primary_10_1111_gwat_12179 crossref_primary_10_1007_s11709_018_0462_x crossref_primary_10_1155_2020_6875816 crossref_primary_10_1016_j_engstruct_2012_03_041 crossref_primary_10_1016_j_compstruc_2024_107559 crossref_primary_10_1016_j_cam_2014_04_004 crossref_primary_10_1016_j_ijmecsci_2018_08_031 crossref_primary_10_1016_j_tws_2016_11_010 crossref_primary_10_1016_j_cma_2023_116574 crossref_primary_10_1016_j_tafmec_2021_102993 crossref_primary_10_1007_s11071_016_2657_9 crossref_primary_10_1016_j_enganabound_2017_02_007 crossref_primary_10_1002_nme_2820 crossref_primary_10_1016_j_cma_2015_08_009 crossref_primary_10_1016_j_ijimpeng_2021_104080 crossref_primary_10_1016_j_cma_2011_01_018 crossref_primary_10_1016_j_enggeo_2019_04_017 crossref_primary_10_1016_j_commatsci_2014_09_036 crossref_primary_10_1016_j_enganabound_2014_12_005 crossref_primary_10_1108_EC_01_2018_0041 crossref_primary_10_1007_s11012_009_9259_2 crossref_primary_10_1016_j_ijimpeng_2015_06_006 crossref_primary_10_1080_15376494_2024_2438904 crossref_primary_10_1016_j_advengsoft_2021_102992 crossref_primary_10_1016_j_ijimpeng_2015_04_010 crossref_primary_10_1016_j_tafmec_2014_09_007 crossref_primary_10_1002_cmm4_1137 crossref_primary_10_1016_j_tafmec_2014_09_005 crossref_primary_10_1016_j_compositesb_2012_10_021 crossref_primary_10_1016_j_tafmec_2013_12_002 crossref_primary_10_1016_j_cma_2017_11_011 crossref_primary_10_1016_j_commatsci_2014_10_050 crossref_primary_10_1155_2012_526846 crossref_primary_10_1016_j_compstruc_2010_11_006 crossref_primary_10_1007_s00419_010_0487_7 crossref_primary_10_3390_met13061074 crossref_primary_10_1016_j_enggeo_2016_10_002 crossref_primary_10_1088_1742_6596_78_1_012063 crossref_primary_10_1016_j_enganabound_2015_12_018 crossref_primary_10_1016_j_undsp_2018_06_003 crossref_primary_10_1016_j_advengsoft_2014_06_006 crossref_primary_10_1007_s11709_019_0574_y crossref_primary_10_3389_fmats_2022_886150 crossref_primary_10_4028_www_scientific_net_AMM_548_549_410 crossref_primary_10_1002_nme_4282 crossref_primary_10_1016_j_compgeo_2011_12_006 crossref_primary_10_1016_j_cma_2012_06_015 crossref_primary_10_1016_j_compstruct_2014_10_026 crossref_primary_10_1002_nme_2323 crossref_primary_10_1002_nme_5713 crossref_primary_10_1016_j_ijimpeng_2009_03_004 crossref_primary_10_1016_j_soildyn_2020_106420 crossref_primary_10_1016_j_compstruc_2016_07_009 crossref_primary_10_1016_j_cma_2020_113434 crossref_primary_10_1007_s00466_018_1564_y crossref_primary_10_1155_2014_646514 crossref_primary_10_1016_j_advengsoft_2024_103707 crossref_primary_10_1002_dug2_12127 crossref_primary_10_1007_s00707_009_0275_z crossref_primary_10_1016_j_ijimpeng_2016_01_005 crossref_primary_10_1016_j_ijimpeng_2019_06_001 crossref_primary_10_1007_s10665_011_9455_7 crossref_primary_10_1016_j_ijimpeng_2015_10_009 crossref_primary_10_1016_j_mechmat_2024_105204 crossref_primary_10_1080_15376494_2021_1931580 crossref_primary_10_1002_nme_6132 crossref_primary_10_1016_j_tafmec_2014_04_006 crossref_primary_10_1016_j_amc_2014_01_052 crossref_primary_10_1108_EC_03_2016_0078 crossref_primary_10_1016_j_tws_2009_10_011 crossref_primary_10_1631_jzus_A0900248 crossref_primary_10_1016_j_ijimpeng_2019_103323 crossref_primary_10_1016_j_enganabound_2022_04_018 crossref_primary_10_1007_s10404_011_0853_y crossref_primary_10_1016_j_compstruc_2025_107653 crossref_primary_10_1155_2012_840593 crossref_primary_10_1061__ASCE_PS_1949_1204_0000633 crossref_primary_10_1016_j_ijimpeng_2015_06_012 crossref_primary_10_1016_j_tafmec_2014_10_003 crossref_primary_10_1016_j_ijimpeng_2015_10_017 |
| Cites_doi | 10.1002/fld.1650200824 10.1016/S0045-7825(96)01083-3 10.1016/0734-743X(92)90282-X 10.1002/nme.336 10.1016/j.cma.2003.12.009 10.1002/nme.1151 10.1002/nme.617 10.1016/j.cma.2003.12.053 10.1016/S0021-9991(03)00273-0 10.1016/j.cma.2003.12.005 10.1016/0029-5493(94)90143-0 10.1002/nme.1620381005 10.1016/0029-5493(94)90136-8 10.1016/j.cma.2003.12.001 10.1016/S0045-7825(96)01089-4 10.1007/s004660050361 10.1002/(SICI)1097-0207(19981115)43:5<785::AID-NME420>3.0.CO;2-9 10.1002/1097-0207(20010130)50:3<507::AID-NME33>3.0.CO;2-B 10.1115/1.1431547 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S 10.1016/j.cma.2003.11.014 10.1016/S0898-1221(01)00290-5 10.1007/s10444-004-1817-5 10.1086/112164 10.1016/j.cma.2003.12.004 10.1002/fld.1650211010 10.1016/j.cma.2003.12.002 10.1007/s10704-005-3075-z 10.1007/BF02736130 10.1016/0045-7825(96)00994-2 10.1093/mnras/181.3.375 10.1002/nme.1620370205 10.1007/BF00364080 10.1002/nme.999 10.1016/0013-7944(94)00153-9 10.1016/j.cma.2003.12.008 10.1016/0020-7683(94)00282-2 |
| ContentType | Journal Article |
| Copyright | Copyright © 2006 John Wiley & Sons, Ltd. 2006 INIST-CNRS |
| Copyright_xml | – notice: Copyright © 2006 John Wiley & Sons, Ltd. – notice: 2006 INIST-CNRS |
| DBID | BSCLL AAYXX CITATION IQODW 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1002/cnm.871 |
| DatabaseName | Istex CrossRef Pascal-Francis Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts Civil Engineering Abstracts Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering Mathematics Physics |
| EISSN | 1099-0887 |
| EndPage | 1065 |
| ExternalDocumentID | 18136487 10_1002_cnm_871 CNM871 ark_67375_WNG_0VWFB900_T |
| Genre | article |
| GrantInformation_xml | – fundername: Publishing Arts Research Council funderid: 98‐1846389 |
| GroupedDBID | -~X .GA .Y3 10A 1L6 1OB 1OC 1ZS 31~ 4.4 51W 51X 52N 52O 52P 52S 52T 52W 52X 5GY 5VS 66C 6J9 7PT 8-1 8-4 8-5 930 A03 AAEVG AAHQN AAMMB AAMNL AANHP AANLZ AAXRX AAYCA AAZKR ABCQN ABCUV ABDBF ABEML ABIJN ABJNI ACAHQ ACBWZ ACCZN ACGFS ACPOU ACRPL ACSCC ACUHS ACXBN ACXQS ACYXJ ADEOM ADIZJ ADMGS ADNMO ADOZA AEFGJ AEIGN AEIMD AEUYR AFBPY AFFNX AFFPM AFGKR AFWVQ AFZJQ AGQPQ AGXDD AGYGG AHBTC AI. AIDQK AIDYY AIQQE AITYG AIURR ALMA_UNASSIGNED_HOLDINGS AMBMR AMYDB ASPBG ATUGU AVWKF AZFZN BDRZF BRXPI BSCLL BY8 CO8 CS3 D-F DCZOG DRFUL DRSTM DU5 EBS EJD ESX F00 F01 F04 F5P FEDTE G-S GBZZK GNP GODZA HBH HF~ HGLYW HHY HVGLF I-F JPC KQQ LATKE LAW LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LYRES M6O MEWTI MK~ MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM OIG P4D PALCI QB0 QRW RIWAO RJQFR ROL RYL SAMSI SUPJJ TN5 TUS UB1 VH1 WIB WIH WIK WQJ WXSBR XG1 XPP XV2 ZY4 ~02 AAHHS ABTAH ACCFJ ADZOD AEEZP AEQDE AEUQT AFPWT AIWBW AJBDE ALUQN RWI RWS WRC AAYXX CITATION O8X IQODW 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c4591-fc4a0127cdedd65e69af4760f98c40ffb65ce89b7be3b8c61af3f9deffb0309d3 |
| IEDL.DBID | DRFUL |
| ISICitedReferencesCount | 178 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000241049300002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1069-8299 |
| IngestDate | Sun Nov 09 09:57:03 EST 2025 Sun Nov 09 10:00:56 EST 2025 Fri Jul 11 02:03:55 EDT 2025 Mon Jul 21 09:16:56 EDT 2025 Sat Nov 29 06:28:02 EST 2025 Tue Nov 18 22:35:32 EST 2025 Wed Jan 22 16:58:28 EST 2025 Tue Nov 11 03:32:48 EST 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Issue | 10 |
| Keywords | High strain Smoothed particle hydrodynamics method EFG Master slave relationship SPH Experimental study Finite element method Crack bridging Lagrange multiplier Particle method adaptivity Granular materials Meshless method Modelling Least square fit mesh-free particle methods |
| Language | English |
| License | http://doi.wiley.com/10.1002/tdm_license_1.1 CC BY 4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c4591-fc4a0127cdedd65e69af4760f98c40ffb65ce89b7be3b8c61af3f9deffb0309d3 |
| Notes | ark:/67375/WNG-0VWFB900-T ArticleID:CNM871 istex:45445B4AEE2D3E4D70C6BF33339D21B40C3B55AD Publishing Arts Research Council - No. 98-1846389 Research Fellow. Assistant Professor. ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 ObjectType-Article-1 ObjectType-Feature-2 |
| OpenAccessLink | http://mediatum.ub.tum.de/node?id=1091838 |
| PQID | 1082190395 |
| PQPubID | 23500 |
| PageCount | 35 |
| ParticipantIDs | proquest_miscellaneous_29157954 proquest_miscellaneous_1677955804 proquest_miscellaneous_1082190395 pascalfrancis_primary_18136487 crossref_citationtrail_10_1002_cnm_871 crossref_primary_10_1002_cnm_871 wiley_primary_10_1002_cnm_871_CNM871 istex_primary_ark_67375_WNG_0VWFB900_T |
| PublicationCentury | 2000 |
| PublicationDate | October 2006 |
| PublicationDateYYYYMMDD | 2006-10-01 |
| PublicationDate_xml | – month: 10 year: 2006 text: October 2006 |
| PublicationDecade | 2000 |
| PublicationPlace | Chichester, UK |
| PublicationPlace_xml | – name: Chichester, UK – name: Chichester |
| PublicationTitle | Communications in numerical methods in engineering |
| PublicationTitleAlternate | Commun. Numer. Meth. Engng |
| PublicationYear | 2006 |
| Publisher | John Wiley & Sons, Ltd Wiley |
| Publisher_xml | – name: John Wiley & Sons, Ltd – name: Wiley |
| References | Johnson GR, Stryk RA, Beissel SR. SPH for high velocity impact computations. Computer Methods in Applied Mechanics and Engineering 1996; 139:347-374. Simkins Jr DC, Li S, Lu H, Liu WK. Reproducing kernel element method. Part IV: Globally compatibleCn (n1) triangular hierarchy. Computer Methods in Applied Mechanics and Engineering 2004; 193:1013-1034. Wagner GJ, Liu WK. Coupling of atomic and continuum simulations using a bridging scale decomposition. Journal of Computational Physics 2003; 190:249-274. Li S, Liu WK. Meshfree Particle Methods. Springer: Berlin, 2004. Rabczuk T, Belytschko T, Xiao SP. Stable particle methods based on Lagrangian kernels. Computer Methods in Applied Mechanics and Engineering 2004; 193:1035-1063. Liu WK, Uras RA, Chen Y. Enrichment of the finite element method with reproducing kernel particle method. Journal of Applied Mechanics 1997; 135:143-166. Huerta A, Fernandez-Mendez S, Liu WK. A comparison of two formulations to blend finite elements and meshfree methods. Computer Methods in Applied Mechanics and Engineering 2004; 193(12-14):1105-1117. Liu WK, Karpov EG, Zhang S, Park HS. An introduction to computational nanomechanics and materials. Computer Methods in Applied Mechanics and Engineering 2004; 193:1529-1578. Belytschko T, Xiao SP. A bridging domain method for coupling continua with molecular dynamics. Computer Methods in Applied Mechanics and Engineering 2004; 193:1645-1669. Belytschko T, Organ D, Krongauz Y. A coupled finite element-element-free Galerkin method. Computational Mechanics 1995; 17:186-195. Chen JS, Pan C, Wu CT, Liu WK. Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Computer Methods in Applied Mechanics and Engineering 1996; 139:95-227. Rabczuk T, Eibl J. Simulation of high velocity concrete fragmentation using SPH/MLSPH. International Journal for Numerical Methods in Engineering 2003; 56:1421-1444. Attaway SW, Heinstein MW, Swegle JW. Coupling of smoothed particle hydrodynamics with the finite element method. Post-SMIRT Impact IV Seminar, Berlin. Nuclear Engineering and Design 1994; 150. Liu WK, Han W, Lu H, Li S, Cao J. Reproducing kernel element method. Part I: Theoretical formulation. Computer Methods in Applied Mechanics and Engineering 2004; 193:933-951. Lucy. A numerical approach to the testing of fission hypothesis. Astronomical Journal 1977; 82:1013-1024. Wagner GJ, Liu WK. Hierarchical enrichment for bridging scales and meshfree boundary conditions. International Journal for Numerical Methods in Engineering 2001; 50:507-524. Liu WK, Jun S, Zhang YF. Reproducing kernel particle methods. International Journal for Numerical Methods in Fluids 1995; 20:1081-1106. Johnson GR. Linking of Lagrangian particle methods to standard finite element methods for high velocity impact computations. Post-SMIRT Impact IV Seminar, Berlin. Nuclear Engineering and Design 1994; 150. Rabczuk T, Belytschko T. Application of mesh free methods to static fracture of reinforced concrete structures. International Journal of Fracture 2006; 137(1-4):19-49. Belytschko T, Xiao SP. Stability analysis of particle methods with corrected derivatives. Computers and Mathematics with Applications 2000; 43:329-350. Belytschko T, Krongauz Y, Dolbow J, Gerlach C. On the completeness of meshfree particle methods. International Journal for Numerical Methods in Engineering 1998; 43:785-819. Li S, Liu WK. Meshfree and particle methods and their applications. Applied Mechanics Review 2002; 55:1-34. Hao S, Liu WK, Belytschko T. Moving particle finite element method with global smoothness. International Journal for Numerical Methods in Engineering 2004; 59(7):1007-1020. Timoshenko SP, Goodier JN. Theory of Elasticity. McGraw-Hill: New York, 1970. Rabczuk T, Belytschko T. Cracking particles: a simplified mesh-free method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering 2004; 61(13):2316-2343. Belytschko T, Lu YY. Element-free Galerkin methods for static and dynamic fracture. International Journal of Solids and Structures 1995; 32:2547-2570. Haeusler-Combe U. Elementfreie Galerkin-Verfahren, Grundlagen und Einsatzmoeglichkeiten, Habilitation. Institut fuer Massivbau und Baustofftechnologie, Universitaet Karlsruhe, 2001. Kadowaki H, Liu WK. A multiscale approach for the micropolar continuum model. Computer Modeling in Engineering and Sciences 2005; 7(3):269-282. Liu WK, Chen Y, Jun S, Chen S, Belytschko T, Pan C, Uras RA, Chang CT. Overview and applications of the reproducing kernel particle methods. Archives of Computational Methods in Engineering, State of the Art Reviews 1996; 3:3-80. Kadowaki H, Liu WK. Bridging multi-scale method for localization problems. Computer Methods in Applied Mechanics and Engineering 2004; 193(30-32):3267-3302. Li S, Lu H, Han W, Liu WK, Simkins DC. Reproducing kernel element method. Part II: Globally conforming Im/Cn hierarchies. Computer Methods in Applied Mechanics and Engineering 2004; 193:953-987. Gingold RA, Monaghan JJ. Smoothed particle hydro-dynamics: theory and applications to non-spherical stars. Monthly Notices of the Royal Astronomical Society 1977; 181:375-389. Xiao SP, Belytschko T. Material stability analysis of particle methods. Advances in Computational Mathematics 2005; 23:171-190. Belytschko T, Lu YY et al. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:229-256. Hegen D. Element free Galerkin methods in combination with finite element approaches. Computer Methods in Applied Mechanics and Engineering 1996; 135:143-166. Liu WK, Chen Y. Wavelet and multiple scale reproducing kernel particle methods. International Journal for Numerical Methods in Fluid Dynamics 1995; 21:901-931. Chen JS, Pan C, Roque, CMOL, Wang HP. A Lagrangian reproducing kernel particle method for metal forming analysis. Computational Mechanics 1998; 22:289-307. Hanchak SJ, Forrestal MJ, Young ER, Erhrgott JQ. Perforation of concrete slabs with 48MPa (7ksi) and 140MPA (20ksi) unconfined compressive strengths. International Journal of Impact Engineering 1992; 12:1-7. Belytschko T. Crack propagation by element free Galerkin methods. Engineering Fracture Mechanics 1995; 51/2:295-315. Han W, Wagner GJ, Liu WK. Convergence analysis of a hierarchical enrichment of dirichlet boundary conditions in a mesh-free method. International Journal for Numerical Methods in Engineering 2002; 53(6):1323-1336. Liu WK, Jun S, Adee J, Belytschko T. Reproducing kernel particle method for structural dynamics. International Journal for Numerical Methods in Engineering 1995; 38:1665-1679. Belytschko T, Liu WK, Moran B. Nonlinear Finite Elements for Continua and Structures. Wiley: New York, U.S.A., 2000. Huerta A, Fernandez-Mendez S. Enrichment and coupling of the finite element and meshless method. International Journal for Numerical Methods in Engineering 2000; 48:1615-1636. 1997; 135 2001; 50 2004; 61 1995; 17 2000; 48 2002; 53 1995; 38 2000; 43 1994; 150 2002; 55 1995; 32 1995 2004 2003; 190 1993 1971 1970 2002 2006; 137 1998; 43 1992; 12 1998; 22 2005; 23 1977; 82 2003; 56 1995; 20 1977; 181 2001 2000 1995; 51/2 2004; 59 1995; 21 2004; 193 2005; 7 1994; 37 1982 1996; 135 1996; 3 1996; 139 Hegen (10.1002/cnm.871-BIB12|cit12) 1996; 135 Belytschko (10.1002/cnm.871-BIB15|cit15) 2004; 193 Rabczuk (10.1002/cnm.871-BIB38|cit38) 2004; 193 Belytschko (10.1002/cnm.871-BIB39|cit39) 1994; 37 Liu (10.1002/cnm.871-BIB7|cit7) 1997; 135 Xiao (10.1002/cnm.871-BIB37|cit37) 2005; 23 Simkins (10.1002/cnm.871-BIB23|cit23) 2004; 193 Li (10.1002/cnm.871-BIB1|cit1) 2004 Timoshenko (10.1002/cnm.871-BIB46|cit46) 1970 10.1002/cnm.871-BIB20|cit20 Chen (10.1002/cnm.871-BIB30|cit30) 1998; 22 10.1002/cnm.871-BIB31|cit31 Belytschko (10.1002/cnm.871-BIB40|cit40) 1995; 51/2 Li (10.1002/cnm.871-BIB22|cit22) 2004; 193 10.1002/cnm.871-BIB45|cit45 Haeusler-Combe (10.1002/cnm.871-BIB32|cit32) 2001 10.1002/cnm.871-BIB33|cit33 Johnson (10.1002/cnm.871-BIB4|cit4) 1994; 150 Liu (10.1002/cnm.871-BIB36|cit36) 1995; 20 Belytschko (10.1002/cnm.871-BIB41|cit41) 1995; 32 Rabczuk (10.1002/cnm.871-BIB48|cit48) 2004; 61 Wagner (10.1002/cnm.871-BIB25|cit25) 2001; 50 Belytschko (10.1002/cnm.871-BIB3|cit3) 2000 Lucy (10.1002/cnm.871-BIB43|cit43) 1977; 82 Kadowaki (10.1002/cnm.871-BIB18|cit18) 2004; 193 Liu (10.1002/cnm.871-BIB17|cit17) 2004; 193 Huerta (10.1002/cnm.871-BIB11|cit11) 2004; 193 Kadowaki (10.1002/cnm.871-BIB19|cit19) 2005; 7 10.1002/cnm.871-BIB14|cit14 Huerta (10.1002/cnm.871-BIB10|cit10) 2000; 48 Babuska (10.1002/cnm.871-BIB28|cit28) 1995 Attaway (10.1002/cnm.871-BIB2|cit2) 1994; 150 Wagner (10.1002/cnm.871-BIB16|cit16) 2003; 190 Arrea (10.1002/cnm.871-BIB47|cit47) 1982 Belytschko (10.1002/cnm.871-BIB8|cit8) 1995; 17 Rabczuk (10.1002/cnm.871-BIB13|cit13) 2006; 137 Liu (10.1002/cnm.871-BIB21|cit21) 2004; 193 Gingold (10.1002/cnm.871-BIB42|cit42) 1977; 181 Belytschko (10.1002/cnm.871-BIB44|cit44) 2000; 43 Liu (10.1002/cnm.871-BIB35|cit35) 1995; 38 Rabczuk (10.1002/cnm.871-BIB51|cit51) 2003; 56 Liu (10.1002/cnm.871-BIB6|cit6) 1995; 21 Han (10.1002/cnm.871-BIB26|cit26) 2002; 53 Hanchak (10.1002/cnm.871-BIB50|cit50) 1992; 12 Hao (10.1002/cnm.871-BIB24|cit24) 2004; 59 Li (10.1002/cnm.871-BIB27|cit27) 2002; 55 Johnson (10.1002/cnm.871-BIB5|cit5) 1996; 139 Chen (10.1002/cnm.871-BIB29|cit29) 1996; 139 Belytschko (10.1002/cnm.871-BIB9|cit9) 1998; 43 10.1002/cnm.871-BIB49|cit49 Liu (10.1002/cnm.871-BIB34|cit34) 1996; 3 |
| References_xml | – reference: Johnson GR. Linking of Lagrangian particle methods to standard finite element methods for high velocity impact computations. Post-SMIRT Impact IV Seminar, Berlin. Nuclear Engineering and Design 1994; 150. – reference: Wagner GJ, Liu WK. Coupling of atomic and continuum simulations using a bridging scale decomposition. Journal of Computational Physics 2003; 190:249-274. – reference: Hanchak SJ, Forrestal MJ, Young ER, Erhrgott JQ. Perforation of concrete slabs with 48MPa (7ksi) and 140MPA (20ksi) unconfined compressive strengths. International Journal of Impact Engineering 1992; 12:1-7. – reference: Xiao SP, Belytschko T. Material stability analysis of particle methods. Advances in Computational Mathematics 2005; 23:171-190. – reference: Belytschko T, Krongauz Y, Dolbow J, Gerlach C. On the completeness of meshfree particle methods. International Journal for Numerical Methods in Engineering 1998; 43:785-819. – reference: Liu WK, Uras RA, Chen Y. Enrichment of the finite element method with reproducing kernel particle method. Journal of Applied Mechanics 1997; 135:143-166. – reference: Li S, Lu H, Han W, Liu WK, Simkins DC. Reproducing kernel element method. Part II: Globally conforming Im/Cn hierarchies. Computer Methods in Applied Mechanics and Engineering 2004; 193:953-987. – reference: Attaway SW, Heinstein MW, Swegle JW. Coupling of smoothed particle hydrodynamics with the finite element method. Post-SMIRT Impact IV Seminar, Berlin. Nuclear Engineering and Design 1994; 150. – reference: Johnson GR, Stryk RA, Beissel SR. SPH for high velocity impact computations. Computer Methods in Applied Mechanics and Engineering 1996; 139:347-374. – reference: Liu WK, Chen Y. Wavelet and multiple scale reproducing kernel particle methods. International Journal for Numerical Methods in Fluid Dynamics 1995; 21:901-931. – reference: Hegen D. Element free Galerkin methods in combination with finite element approaches. Computer Methods in Applied Mechanics and Engineering 1996; 135:143-166. – reference: Rabczuk T, Belytschko T. Application of mesh free methods to static fracture of reinforced concrete structures. International Journal of Fracture 2006; 137(1-4):19-49. – reference: Chen JS, Pan C, Wu CT, Liu WK. Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Computer Methods in Applied Mechanics and Engineering 1996; 139:95-227. – reference: Gingold RA, Monaghan JJ. Smoothed particle hydro-dynamics: theory and applications to non-spherical stars. Monthly Notices of the Royal Astronomical Society 1977; 181:375-389. – reference: Timoshenko SP, Goodier JN. Theory of Elasticity. McGraw-Hill: New York, 1970. – reference: Belytschko T, Lu YY. Element-free Galerkin methods for static and dynamic fracture. International Journal of Solids and Structures 1995; 32:2547-2570. – reference: Belytschko T, Organ D, Krongauz Y. A coupled finite element-element-free Galerkin method. Computational Mechanics 1995; 17:186-195. – reference: Huerta A, Fernandez-Mendez S, Liu WK. A comparison of two formulations to blend finite elements and meshfree methods. Computer Methods in Applied Mechanics and Engineering 2004; 193(12-14):1105-1117. – reference: Wagner GJ, Liu WK. Hierarchical enrichment for bridging scales and meshfree boundary conditions. International Journal for Numerical Methods in Engineering 2001; 50:507-524. – reference: Han W, Wagner GJ, Liu WK. Convergence analysis of a hierarchical enrichment of dirichlet boundary conditions in a mesh-free method. International Journal for Numerical Methods in Engineering 2002; 53(6):1323-1336. – reference: Liu WK, Jun S, Adee J, Belytschko T. Reproducing kernel particle method for structural dynamics. International Journal for Numerical Methods in Engineering 1995; 38:1665-1679. – reference: Belytschko T, Xiao SP. Stability analysis of particle methods with corrected derivatives. Computers and Mathematics with Applications 2000; 43:329-350. – reference: Rabczuk T, Eibl J. Simulation of high velocity concrete fragmentation using SPH/MLSPH. International Journal for Numerical Methods in Engineering 2003; 56:1421-1444. – reference: Liu WK, Karpov EG, Zhang S, Park HS. An introduction to computational nanomechanics and materials. Computer Methods in Applied Mechanics and Engineering 2004; 193:1529-1578. – reference: Kadowaki H, Liu WK. A multiscale approach for the micropolar continuum model. Computer Modeling in Engineering and Sciences 2005; 7(3):269-282. – reference: Haeusler-Combe U. Elementfreie Galerkin-Verfahren, Grundlagen und Einsatzmoeglichkeiten, Habilitation. Institut fuer Massivbau und Baustofftechnologie, Universitaet Karlsruhe, 2001. – reference: Rabczuk T, Belytschko T, Xiao SP. Stable particle methods based on Lagrangian kernels. Computer Methods in Applied Mechanics and Engineering 2004; 193:1035-1063. – reference: Hao S, Liu WK, Belytschko T. Moving particle finite element method with global smoothness. International Journal for Numerical Methods in Engineering 2004; 59(7):1007-1020. – reference: Liu WK, Han W, Lu H, Li S, Cao J. Reproducing kernel element method. Part I: Theoretical formulation. Computer Methods in Applied Mechanics and Engineering 2004; 193:933-951. – reference: Huerta A, Fernandez-Mendez S. Enrichment and coupling of the finite element and meshless method. International Journal for Numerical Methods in Engineering 2000; 48:1615-1636. – reference: Liu WK, Chen Y, Jun S, Chen S, Belytschko T, Pan C, Uras RA, Chang CT. Overview and applications of the reproducing kernel particle methods. Archives of Computational Methods in Engineering, State of the Art Reviews 1996; 3:3-80. – reference: Liu WK, Jun S, Zhang YF. Reproducing kernel particle methods. International Journal for Numerical Methods in Fluids 1995; 20:1081-1106. – reference: Belytschko T. Crack propagation by element free Galerkin methods. Engineering Fracture Mechanics 1995; 51/2:295-315. – reference: Simkins Jr DC, Li S, Lu H, Liu WK. Reproducing kernel element method. Part IV: Globally compatibleCn (n1) triangular hierarchy. Computer Methods in Applied Mechanics and Engineering 2004; 193:1013-1034. – reference: Li S, Liu WK. Meshfree and particle methods and their applications. Applied Mechanics Review 2002; 55:1-34. – reference: Li S, Liu WK. Meshfree Particle Methods. Springer: Berlin, 2004. – reference: Chen JS, Pan C, Roque, CMOL, Wang HP. A Lagrangian reproducing kernel particle method for metal forming analysis. Computational Mechanics 1998; 22:289-307. – reference: Belytschko T, Lu YY et al. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:229-256. – reference: Rabczuk T, Belytschko T. Cracking particles: a simplified mesh-free method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering 2004; 61(13):2316-2343. – reference: Belytschko T, Xiao SP. A bridging domain method for coupling continua with molecular dynamics. Computer Methods in Applied Mechanics and Engineering 2004; 193:1645-1669. – reference: Lucy. A numerical approach to the testing of fission hypothesis. Astronomical Journal 1977; 82:1013-1024. – reference: Belytschko T, Liu WK, Moran B. Nonlinear Finite Elements for Continua and Structures. Wiley: New York, U.S.A., 2000. – reference: Kadowaki H, Liu WK. Bridging multi-scale method for localization problems. Computer Methods in Applied Mechanics and Engineering 2004; 193(30-32):3267-3302. – volume: 51/2 start-page: 295 year: 1995 end-page: 315 article-title: Crack propagation by element free Galerkin methods publication-title: Engineering Fracture Mechanics – volume: 32 start-page: 2547 year: 1995 end-page: 2570 article-title: Element‐free Galerkin methods for static and dynamic fracture publication-title: International Journal of Solids and Structures – volume: 139 start-page: 347 year: 1996 end-page: 374 article-title: SPH for high velocity impact computations publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 12 start-page: 1 year: 1992 end-page: 7 article-title: Perforation of concrete slabs with 48MPa (7ksi) and 140MPA (20ksi) unconfined compressive strengths publication-title: International Journal of Impact Engineering – volume: 137 start-page: 19 issue: 1–4 year: 2006 end-page: 49 article-title: Application of mesh free methods to static fracture of reinforced concrete structures publication-title: International Journal of Fracture – year: 2001 – volume: 190 start-page: 249 year: 2003 end-page: 274 article-title: Coupling of atomic and continuum simulations using a bridging scale decomposition publication-title: Journal of Computational Physics – volume: 82 start-page: 1013 year: 1977 end-page: 1024 article-title: A numerical approach to the testing of fission hypothesis publication-title: Astronomical Journal – volume: 135 start-page: 143 year: 1997 end-page: 166 article-title: Enrichment of the finite element method with reproducing kernel particle method publication-title: Journal of Applied Mechanics – volume: 139 start-page: 95 year: 1996 end-page: 227 article-title: Reproducing kernel particle methods for large deformation analysis of nonlinear structures publication-title: Computer Methods in Applied Mechanics and Engineering – year: 2000 – volume: 17 start-page: 186 year: 1995 end-page: 195 article-title: A coupled finite element‐element‐free Galerkin method publication-title: Computational Mechanics – volume: 43 start-page: 329 year: 2000 end-page: 350 article-title: Stability analysis of particle methods with corrected derivatives publication-title: Computers and Mathematics with Applications – volume: 23 start-page: 171 year: 2005 end-page: 190 article-title: Material stability analysis of particle methods publication-title: Advances in Computational Mathematics – volume: 193 start-page: 1035 year: 2004 end-page: 1063 article-title: Stable particle methods based on Lagrangian kernels publication-title: Computer Methods in Applied Mechanics and Engineering – year: 1971 – volume: 59 start-page: 1007 issue: 7 year: 2004 end-page: 1020 article-title: Moving particle finite element method with global smoothness publication-title: International Journal for Numerical Methods in Engineering – volume: 61 start-page: 2316 issue: 13 year: 2004 end-page: 2343 article-title: Cracking particles: a simplified mesh‐free method for arbitrary evolving cracks publication-title: International Journal for Numerical Methods in Engineering – volume: 48 start-page: 1615 year: 2000 end-page: 1636 article-title: Enrichment and coupling of the finite element and meshless method publication-title: International Journal for Numerical Methods in Engineering – volume: 53 start-page: 1323 issue: 6 year: 2002 end-page: 1336 article-title: Convergence analysis of a hierarchical enrichment of dirichlet boundary conditions in a mesh‐free method publication-title: International Journal for Numerical Methods in Engineering – volume: 22 start-page: 289 year: 1998 end-page: 307 article-title: A Lagrangian reproducing kernel particle method for metal forming analysis publication-title: Computational Mechanics – volume: 3 start-page: 3 year: 1996 end-page: 80 article-title: Overview and applications of the reproducing kernel particle methods publication-title: Archives of Computational Methods in Engineering, State of the Art Reviews – volume: 43 start-page: 785 year: 1998 end-page: 819 article-title: On the completeness of meshfree particle methods publication-title: International Journal for Numerical Methods in Engineering – year: 1982 – volume: 193 start-page: 933 year: 2004 end-page: 951 article-title: Reproducing kernel element method. Part I: Theoretical formulation publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 135 start-page: 143 year: 1996 end-page: 166 article-title: Element free Galerkin methods in combination with finite element approaches publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 193 start-page: 1645 year: 2004 end-page: 1669 article-title: A bridging domain method for coupling continua with molecular dynamics publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 38 start-page: 1665 year: 1995 end-page: 1679 article-title: Reproducing kernel particle method for structural dynamics publication-title: International Journal for Numerical Methods in Engineering – volume: 50 start-page: 507 year: 2001 end-page: 524 article-title: Hierarchical enrichment for bridging scales and meshfree boundary conditions publication-title: International Journal for Numerical Methods in Engineering – volume: 56 start-page: 1421 year: 2003 end-page: 1444 article-title: Simulation of high velocity concrete fragmentation using SPH/MLSPH publication-title: International Journal for Numerical Methods in Engineering – year: 2002 – year: 2004 – volume: 150 year: 1994 article-title: Coupling of smoothed particle hydrodynamics with the finite element method. , Berlin publication-title: Nuclear Engineering and Design – volume: 150 year: 1994 article-title: Linking of Lagrangian particle methods to standard finite element methods for high velocity impact computations. , Berlin publication-title: Nuclear Engineering and Design – volume: 21 start-page: 901 year: 1995 end-page: 931 article-title: Wavelet and multiple scale reproducing kernel particle methods publication-title: International Journal for Numerical Methods in Fluid Dynamics – volume: 193 start-page: 1013 year: 2004 end-page: 1034 article-title: Reproducing kernel element method. Part IV: Globally compatibleCn (n1) triangular hierarchy publication-title: Computer Methods in Applied Mechanics and Engineering – year: 1995 – volume: 193 start-page: 3267 issue: 30–32 year: 2004 end-page: 3302 article-title: Bridging multi‐scale method for localization problems publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 7 start-page: 269 issue: 3 year: 2005 end-page: 282 article-title: A multiscale approach for the micropolar continuum model publication-title: Computer Modeling in Engineering and Sciences – year: 1970 – volume: 55 start-page: 1 year: 2002 end-page: 34 article-title: Meshfree and particle methods and their applications publication-title: Applied Mechanics Review – volume: 20 start-page: 1081 year: 1995 end-page: 1106 article-title: Reproducing kernel particle methods publication-title: International Journal for Numerical Methods in Fluids – volume: 193 start-page: 953 year: 2004 end-page: 987 article-title: Reproducing kernel element method. Part II: Globally conforming Im/Cn hierarchies publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 193 start-page: 1105 issue: 12–14 year: 2004 end-page: 1117 article-title: A comparison of two formulations to blend finite elements and meshfree methods publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 181 start-page: 375 year: 1977 end-page: 389 article-title: Smoothed particle hydro‐dynamics: theory and applications to non‐spherical stars publication-title: Monthly Notices of the Royal Astronomical Society – start-page: 175 year: 1993 end-page: 190 – volume: 37 start-page: 229 year: 1994 end-page: 256 article-title: Element‐free Galerkin methods publication-title: International Journal for Numerical Methods in Engineering – volume: 193 start-page: 1529 year: 2004 end-page: 1578 article-title: An introduction to computational nanomechanics and materials publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 20 start-page: 1081 year: 1995 ident: 10.1002/cnm.871-BIB36|cit36 article-title: Reproducing kernel particle methods publication-title: International Journal for Numerical Methods in Fluids doi: 10.1002/fld.1650200824 – volume: 139 start-page: 95 year: 1996 ident: 10.1002/cnm.871-BIB29|cit29 article-title: Reproducing kernel particle methods for large deformation analysis of nonlinear structures publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(96)01083-3 – volume: 12 start-page: 1 year: 1992 ident: 10.1002/cnm.871-BIB50|cit50 article-title: Perforation of concrete slabs with 48MPa (7ksi) and 140MPA (20ksi) unconfined compressive strengths publication-title: International Journal of Impact Engineering doi: 10.1016/0734-743X(92)90282-X – volume: 53 start-page: 1323 issue: 6 year: 2002 ident: 10.1002/cnm.871-BIB26|cit26 article-title: Convergence analysis of a hierarchical enrichment of dirichlet boundary conditions in a mesh-free method publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.336 – volume: 193 start-page: 1105 issue: 12-14 year: 2004 ident: 10.1002/cnm.871-BIB11|cit11 article-title: A comparison of two formulations to blend finite elements and meshfree methods publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2003.12.009 – volume-title: Nonlinear Finite Elements for Continua and Structures year: 2000 ident: 10.1002/cnm.871-BIB3|cit3 – ident: 10.1002/cnm.871-BIB33|cit33 – volume: 135 start-page: 143 year: 1997 ident: 10.1002/cnm.871-BIB7|cit7 article-title: Enrichment of the finite element method with reproducing kernel particle method publication-title: Journal of Applied Mechanics – volume: 61 start-page: 2316 issue: 13 year: 2004 ident: 10.1002/cnm.871-BIB48|cit48 article-title: Cracking particles: a simplified mesh-free method for arbitrary evolving cracks publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1151 – volume: 56 start-page: 1421 year: 2003 ident: 10.1002/cnm.871-BIB51|cit51 article-title: Simulation of high velocity concrete fragmentation using SPH/MLSPH publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.617 – ident: 10.1002/cnm.871-BIB20|cit20 – volume-title: Technical Note BN-1185 year: 1995 ident: 10.1002/cnm.871-BIB28|cit28 – volume-title: Theory of Elasticity year: 1970 ident: 10.1002/cnm.871-BIB46|cit46 – volume-title: Meshfree Particle Methods year: 2004 ident: 10.1002/cnm.871-BIB1|cit1 – volume: 193 start-page: 1645 year: 2004 ident: 10.1002/cnm.871-BIB15|cit15 article-title: A bridging domain method for coupling continua with molecular dynamics publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2003.12.053 – ident: 10.1002/cnm.871-BIB14|cit14 – volume-title: Elementfreie Galerkin-Verfahren, Grundlagen und Einsatzmoeglichkeiten, Habilitation year: 2001 ident: 10.1002/cnm.871-BIB32|cit32 – ident: 10.1002/cnm.871-BIB49|cit49 – volume: 190 start-page: 249 year: 2003 ident: 10.1002/cnm.871-BIB16|cit16 article-title: Coupling of atomic and continuum simulations using a bridging scale decomposition publication-title: Journal of Computational Physics doi: 10.1016/S0021-9991(03)00273-0 – volume: 193 start-page: 1035 year: 2004 ident: 10.1002/cnm.871-BIB38|cit38 article-title: Stable particle methods based on Lagrangian kernels publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2003.12.005 – volume: 150 year: 1994 ident: 10.1002/cnm.871-BIB4|cit4 article-title: Linking of Lagrangian particle methods to standard finite element methods for high velocity impact computations. Post-SMIRT Impact IV Seminar, Berlin publication-title: Nuclear Engineering and Design doi: 10.1016/0029-5493(94)90143-0 – ident: 10.1002/cnm.871-BIB31|cit31 – volume: 38 start-page: 1665 year: 1995 ident: 10.1002/cnm.871-BIB35|cit35 article-title: Reproducing kernel particle method for structural dynamics publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620381005 – volume: 150 year: 1994 ident: 10.1002/cnm.871-BIB2|cit2 article-title: Coupling of smoothed particle hydrodynamics with the finite element method. Post-SMIRT Impact IV Seminar, Berlin publication-title: Nuclear Engineering and Design doi: 10.1016/0029-5493(94)90136-8 – ident: 10.1002/cnm.871-BIB45|cit45 – volume: 193 start-page: 933 year: 2004 ident: 10.1002/cnm.871-BIB21|cit21 article-title: Reproducing kernel element method. Part I: Theoretical formulation publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2003.12.001 – volume: 139 start-page: 347 year: 1996 ident: 10.1002/cnm.871-BIB5|cit5 article-title: SPH for high velocity impact computations publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(96)01089-4 – volume: 22 start-page: 289 year: 1998 ident: 10.1002/cnm.871-BIB30|cit30 article-title: A Lagrangian reproducing kernel particle method for metal forming analysis publication-title: Computational Mechanics doi: 10.1007/s004660050361 – volume: 7 start-page: 269 issue: 3 year: 2005 ident: 10.1002/cnm.871-BIB19|cit19 article-title: A multiscale approach for the micropolar continuum model publication-title: Computer Modeling in Engineering and Sciences – volume: 43 start-page: 785 year: 1998 ident: 10.1002/cnm.871-BIB9|cit9 article-title: On the completeness of meshfree particle methods publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/(SICI)1097-0207(19981115)43:5<785::AID-NME420>3.0.CO;2-9 – volume: 50 start-page: 507 year: 2001 ident: 10.1002/cnm.871-BIB25|cit25 article-title: Hierarchical enrichment for bridging scales and meshfree boundary conditions publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/1097-0207(20010130)50:3<507::AID-NME33>3.0.CO;2-B – volume: 55 start-page: 1 year: 2002 ident: 10.1002/cnm.871-BIB27|cit27 article-title: Meshfree and particle methods and their applications publication-title: Applied Mechanics Review doi: 10.1115/1.1431547 – volume: 48 start-page: 1615 year: 2000 ident: 10.1002/cnm.871-BIB10|cit10 article-title: Enrichment and coupling of the finite element and meshless method publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S – volume: 193 start-page: 3267 issue: 30-32 year: 2004 ident: 10.1002/cnm.871-BIB18|cit18 article-title: Bridging multi-scale method for localization problems publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2003.11.014 – volume: 43 start-page: 329 year: 2000 ident: 10.1002/cnm.871-BIB44|cit44 article-title: Stability analysis of particle methods with corrected derivatives publication-title: Computers and Mathematics with Applications doi: 10.1016/S0898-1221(01)00290-5 – volume: 23 start-page: 171 year: 2005 ident: 10.1002/cnm.871-BIB37|cit37 article-title: Material stability analysis of particle methods publication-title: Advances in Computational Mathematics doi: 10.1007/s10444-004-1817-5 – volume: 82 start-page: 1013 year: 1977 ident: 10.1002/cnm.871-BIB43|cit43 article-title: A numerical approach to the testing of fission hypothesis publication-title: Astronomical Journal doi: 10.1086/112164 – volume: 193 start-page: 1013 year: 2004 ident: 10.1002/cnm.871-BIB23|cit23 article-title: Reproducing kernel element method. Part IV: Globally compatibleCn (n1) triangular hierarchy publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2003.12.004 – volume: 21 start-page: 901 year: 1995 ident: 10.1002/cnm.871-BIB6|cit6 article-title: Wavelet and multiple scale reproducing kernel particle methods publication-title: International Journal for Numerical Methods in Fluid Dynamics doi: 10.1002/fld.1650211010 – volume: 193 start-page: 953 year: 2004 ident: 10.1002/cnm.871-BIB22|cit22 article-title: Reproducing kernel element method. Part II: Globally conforming Im/Cn hierarchies publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2003.12.002 – volume-title: Report No. 81-13 year: 1982 ident: 10.1002/cnm.871-BIB47|cit47 – volume: 137 start-page: 19 issue: 1-4 year: 2006 ident: 10.1002/cnm.871-BIB13|cit13 article-title: Application of mesh free methods to static fracture of reinforced concrete structures publication-title: International Journal of Fracture doi: 10.1007/s10704-005-3075-z – volume: 3 start-page: 3 year: 1996 ident: 10.1002/cnm.871-BIB34|cit34 article-title: Overview and applications of the reproducing kernel particle methods publication-title: Archives of Computational Methods in Engineering, State of the Art Reviews doi: 10.1007/BF02736130 – volume: 135 start-page: 143 year: 1996 ident: 10.1002/cnm.871-BIB12|cit12 article-title: Element free Galerkin methods in combination with finite element approaches publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(96)00994-2 – volume: 181 start-page: 375 year: 1977 ident: 10.1002/cnm.871-BIB42|cit42 article-title: Smoothed particle hydro-dynamics: theory and applications to non-spherical stars publication-title: Monthly Notices of the Royal Astronomical Society doi: 10.1093/mnras/181.3.375 – volume: 37 start-page: 229 year: 1994 ident: 10.1002/cnm.871-BIB39|cit39 article-title: Element-free Galerkin methods publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620370205 – volume: 17 start-page: 186 year: 1995 ident: 10.1002/cnm.871-BIB8|cit8 article-title: A coupled finite element-element-free Galerkin method publication-title: Computational Mechanics doi: 10.1007/BF00364080 – volume: 59 start-page: 1007 issue: 7 year: 2004 ident: 10.1002/cnm.871-BIB24|cit24 article-title: Moving particle finite element method with global smoothness publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.999 – volume: 51/2 start-page: 295 year: 1995 ident: 10.1002/cnm.871-BIB40|cit40 article-title: Crack propagation by element free Galerkin methods publication-title: Engineering Fracture Mechanics doi: 10.1016/0013-7944(94)00153-9 – volume: 193 start-page: 1529 year: 2004 ident: 10.1002/cnm.871-BIB17|cit17 article-title: An introduction to computational nanomechanics and materials publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2003.12.008 – volume: 32 start-page: 2547 year: 1995 ident: 10.1002/cnm.871-BIB41|cit41 article-title: Element-free Galerkin methods for static and dynamic fracture publication-title: International Journal of Solids and Structures doi: 10.1016/0020-7683(94)00282-2 |
| SSID | ssj0009080 |
| Score | 1.7161053 |
| SecondaryResourceType | review_article |
| Snippet | This paper reviews several novel and older methods for coupling mesh‐free particle methods, particularly the element‐free Galerkin (EFG) method and the smooth... This paper reviews several novel and older methods for coupling mesh-free particle methods, particularly the element-free Galerkin (EFG) method and the smooth... |
| SourceID | proquest pascalfrancis crossref wiley istex |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 1031 |
| SubjectTerms | adaptivity Boundaries Computational techniques Consistency Dynamic tests EFG Exact sciences and technology Finite element method Fundamental areas of phenomenology (including applications) Joining Mathematical analysis Mathematical methods in physics mesh-free particle methods Meshless methods Physics Shape functions SPH |
| Title | Coupling of mesh-free methods with finite elements: basic concepts and test results |
| URI | https://api.istex.fr/ark:/67375/WNG-0VWFB900-T/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fcnm.871 https://www.proquest.com/docview/1082190395 https://www.proquest.com/docview/1677955804 https://www.proquest.com/docview/29157954 |
| Volume | 22 |
| WOSCitedRecordID | wos000241049300002&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: PRVWIB databaseName: Wiley Online Library customDbUrl: eissn: 1099-0887 dateEnd: 20091231 omitProxy: false ssIdentifier: ssj0009080 issn: 1069-8299 databaseCode: DRFUL dateStart: 19960101 isFulltext: true titleUrlDefault: https://onlinelibrary.wiley.com providerName: Wiley-Blackwell |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Lb9QwEB6hXQ5woFBAhEcxUtVbqDd-xOYGCwuHdoVQl_YW2Y4NK9osWu8ijvwEfiO_BDtO9yFUhMQpijy2kvGMZ2zPfAOwbwVTlGudF6ogOXWFzFUhdU4UN4bUPFj9FjL_qByPxdmZfL9R6ivhQ6wO3KJmtOt1VHCl_eEaNNQ0F89FzB7vF0FqaQ_6rz-MJkdrxF0sEhQBl7kIi27KmI2dD7uuW6aoH7n6PYZGKh-441JZiy2_c9N7bc3PaOc_Pvw23Op8TvQyCckduGabXdjp_E_UabffhZsb4ITh7XiF6OrvwmQ4W8bk3U9o5tCF9Z9__fjp5taiVILao3igi9w0urDIpph0_wIFIzk1yKTcSI9UU6Pg2y5Q2OQvzxf-HkxGb06G7_KuJENuKJOD3Bmq4mW1qW1dc2a5VI6WHDspDMXOac6MFVKX2hItDB8oR5ysbWiJdzk1uQ-9ZtbYB4AY0xwbaUkYkRpjtaKYEGmK0pZUaJPBweXsVKbDK49lM86rhLRcVIGRVWBkBmhF-DVBdPxJctBO76pdzb_EiLaSVafjtxX-eDp6JTGuTjLY25r_9YBiQHjY3GXw7FIgqqCI8XZFNXa29BFpNaz-mEj2FxpelpIxgWkGT6-gKeSABaJAsd9K0VX_VA3Hx-Hx8N_IHsGN9vCoDUN8DL3FfGmfwHXzbTH1871Od34D-LMgpQ |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1fb9MwELdQiwQ8bDCYyIDNSNPewtz4T2zeoFCGaCOEWra3yHZsqNhSVLeIRz4Cn5FPgh1n7So0hMRTFPlsJec7-3y--x0Ah4ZTSZhSaSYznBKbiVRmQqVYMq1xxfyu30DmD_Oi4Gdn4n0bVRlyYSI-xMrhFjSjWa-DggeH9PEaNVTXF894SB_vEi9EtAO6rz4MJsM15C7iEYuAiZT7VTemzIbOx23Xjb2oG9j6PcRGSufZY2Ndiw3D86r52uw_g-3_-fK7YKu1OuGLKCb3wA1T74Dt1gKFrX67HXDnCjyhfxutMF3dfTDpz5YhffcTnFl4YdznXz9-2rkxMBahdjC4dKGdBiMWmhiV7p5Dv01ONdQxO9JBWVfQW7cL6I_5y_OFewAmg9fj_knaFmVINaGil1pNZLiu1pWpKkYNE9KSnCEruCbIWsWoNlyoXBmsuGY9abEVlfEt4TanwrugU89q8xBAShVDWhjsRyRaGyUJwljoLDc54Uon4OhyekrdIpaHwhnnZcRazkrPyNIzMgFwRfg1gnT8SXLUzO-qXc6_hJi2nJanxZsSfTwdvBQIleME7G8IwHpA3sPMH-8S8PRSIkqviuF-RdZmtnQBa9Wv_wgL-hcalueCUo5IAg6uoclEj3oiT3HYiNF1_1T2i5F_7P0b2QG4dTIeDcvh2-LdI3C7cSU1QYmPQWcxX5on4Kb-tpi6-X6rSL8BJMAklQ |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1fb9MwELfQihA8MBhMhD-bkaa9hbnxn9i8sY4AoosmtLK9RbZjQ8WWTnWLeOQj8Bn5JLPjrF2FhpB4iiKfreR85zvbd78DYMdwKglTKs1khlNiM5HKTKgUS6Y1rpm3-i1k_jAvS356Ko66qMqQCxPxIRYHbkEz2vU6KLi5qO3eEjVUN-eveEgf7xEqmFfK3sGnYjRcQu4iHrEImEi5X3VjymzovNd1XbFFvcDWHyE2UjrPHhvrWqw4ntfd19b-FOv_8-UPwP3O64Rvopg8BLdMswHWOw8UdvrtNsC9a_CE_u1wgenqHoHRYDIP6btf4MTCc-O-_v75y06NgbEItYPhSBfacXBioYlR6e419GZyrKGO2ZEOyqaG3rudQb_Nn5_N3GMwKt4eD96nXVGGVHs291OriQzX1bo2dc2oYUJakjNkBdcEWasY1YYLlSuDFdesLy22oja-Jdzm1HgTrDWTxjwBkFLFkBYG-xGJ1kZJgjAWOstNTrjSCdi9mp5Kd4jloXDGWRWxlrPKM7LyjEwAXBBeRJCOP0l22_ldtMvptxDTltPqpHxXoc8nxb5AqDpOwNaKACwH5H3M_PYuAS-vJKLyqhjuV2RjJnMXsFb9-o-woH-hYXkuKOWIJGD7BppM9Kkn8hQ7rRjd9E_VoDz0j6f_RrYN7hwdFNXwQ_nxGbjbniS1MYnPwdpsOjcvwG39fTZ2061Ojy4BfSEkEA |
| 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=Coupling+of+mesh-free+methods+with+finite+elements%3A+basic+concepts+and+test+results&rft.jtitle=Communications+in+numerical+methods+in+engineering&rft.au=Rabczuk%2C+T&rft.au=Xiao%2C+S+P&rft.au=Sauer%2C+M&rft.date=2006-10-01&rft.issn=1069-8299&rft.volume=22&rft.issue=10&rft.spage=1031&rft.epage=1065&rft_id=info:doi/10.1002%2Fcnm.871&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1069-8299&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1069-8299&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1069-8299&client=summon |