Stress-based topology optimization with discrete geometric components
In this paper, we introduce a framework for the stress-based topology optimization of structures made by the assembly of discrete geometric components, such as bars and plates, that are described by explicit geometry representations. To circumvent re-meshing upon design changes, we employ the geomet...
Uložené v:
| Vydané v: | Computer methods in applied mechanics and engineering Ročník 325; s. 1 - 21 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Amsterdam
Elsevier B.V
01.10.2017
Elsevier BV |
| Predmet: | |
| ISSN: | 0045-7825, 1879-2138 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | In this paper, we introduce a framework for the stress-based topology optimization of structures made by the assembly of discrete geometric components, such as bars and plates, that are described by explicit geometry representations. To circumvent re-meshing upon design changes, we employ the geometry projection method to smoothly map the geometric components onto a continuous density field defined over a uniform finite element grid for analysis. The geometry projection is defined in a manner that prevents the singular optima phenomenon widely reported in the literature, and that effectively considers stresses only on the geometric components and not on the void region. As in previous work, a size variable is ascribed to each geometry component and penalized in the spirit of solid isotropic material with penalization (SIMP), allowing the optimizer to entirely remove geometric components from the design. We demonstrate our method on the L-bracket benchmark for stress-based optimization problems in 2-d and 3-d. |
|---|---|
| AbstractList | In this paper, we introduce a framework for the stress-based topology optimization of structures made by the assembly of discrete geometric components, such as bars and plates, that are described by explicit geometry representations. To circumvent re-meshing upon design changes, we employ the geometry projection method to smoothly map the geometric components onto a continuous density field defined over a uniform finite element grid for analysis. The geometry projection is defined in a manner that prevents the singular optima phenomenon widely reported in the literature, and that effectively considers stresses only on the geometric components and not on the void region. As in previous work, a size variable is ascribed to each geometry component and penalized in the spirit of solid isotropic material with penalization (SIMP), allowing the optimizer to entirely remove geometric components from the design. We demonstrate our method on the L-bracket benchmark for stress-based optimization problems in 2-d and 3-d. |
| Author | Zhang, Shanglong Gain, Arun L. Norato, Julián A. |
| Author_xml | – sequence: 1 givenname: Shanglong surname: Zhang fullname: Zhang, Shanglong organization: Department of Mechanical Engineering, The University of Connecticut, 191 Auditorium Road, U-3139, Storrs, CT 06269, USA – sequence: 2 givenname: Arun L. surname: Gain fullname: Gain, Arun L. organization: Caterpillar Inc., Champaign Simulation Center, 1901 S. First Street, Champaign, IL 61820, USA – sequence: 3 givenname: Julián A. surname: Norato fullname: Norato, Julián A. email: julian.norato@uconn.edu organization: Department of Mechanical Engineering, The University of Connecticut, 191 Auditorium Road, U-3139, Storrs, CT 06269, USA |
| BookMark | eNp9kD9PwzAQxS1UJNrCB2CLxJzgs2M7FROqyh8JiQGYLcdxiqMmDrYLKp8elzIx9JZb3u_uvTdDk8ENBqFLwAVg4NddoXtVEAyiwLzAhJ2gKVRikROg1QRNMS5ZLirCztAshA6nqYBM0eolehNCXqtgmiy60W3cepe5Mdrefqto3ZB92fieNTZob6LJ1sb1JnqrM-36MbkYYjhHp63aBHPxt-fo7W71unzIn57vH5e3T7mmhMVckWSMUL1oRNswTXlJK6p4TaHGddvSUguuuSiTTQUCQBBoQLUlqww0NeZ0jq4Od0fvPrYmRNm5rR_SSwkLzgAYITSpxEGlvQvBm1ZqG3-jRK_sRgKW-85kJ1Nnct-ZxFwma4mEf-Toba_87ihzc2BMCv5pjZdBWzNo01hvdJSNs0foH1x5hlc |
| CitedBy_id | crossref_primary_10_1002_nme_5737 crossref_primary_10_1016_j_cma_2018_10_020 crossref_primary_10_1016_j_compstruct_2020_112718 crossref_primary_10_32604_cmes_2023_027603 crossref_primary_10_1016_j_cma_2018_08_045 crossref_primary_10_1007_s10409_020_00944_5 crossref_primary_10_1016_j_advengsoft_2020_102955 crossref_primary_10_1016_j_apm_2021_11_008 crossref_primary_10_1016_j_compstruct_2023_117532 crossref_primary_10_1007_s00158_019_02447_9 crossref_primary_10_1007_s11081_023_09851_7 crossref_primary_10_1007_s11831_023_10053_8 crossref_primary_10_1002_nme_6599 crossref_primary_10_1016_j_cma_2018_01_050 crossref_primary_10_1007_s11837_021_04659_1 crossref_primary_10_1016_j_matdes_2020_109286 crossref_primary_10_1177_09544054231223996 crossref_primary_10_1016_j_advengsoft_2023_103592 crossref_primary_10_1016_j_advengsoft_2023_103591 crossref_primary_10_1016_j_cma_2019_112685 crossref_primary_10_32604_cmes_2021_011187 crossref_primary_10_1016_j_tws_2022_110405 crossref_primary_10_1016_j_cma_2020_113293 crossref_primary_10_1007_s00158_018_1995_2 crossref_primary_10_1016_j_cma_2020_113093 crossref_primary_10_1080_15376494_2021_1896822 crossref_primary_10_1007_s00158_018_2045_9 crossref_primary_10_1016_j_cma_2020_113321 crossref_primary_10_1002_nme_6662 crossref_primary_10_1002_nme_6786 crossref_primary_10_1002_nme_6781 crossref_primary_10_1016_j_cma_2018_07_032 crossref_primary_10_1002_nme_6604 crossref_primary_10_1016_j_engstruct_2024_117595 crossref_primary_10_1007_s00158_021_03000_3 crossref_primary_10_1007_s11831_019_09362_8 crossref_primary_10_1007_s00158_018_2034_z crossref_primary_10_3390_app14167171 crossref_primary_10_1016_j_cma_2022_115610 crossref_primary_10_1016_j_addma_2019_03_001 crossref_primary_10_1007_s00158_017_1883_1 crossref_primary_10_1007_s11837_020_04158_9 crossref_primary_10_1016_j_cma_2018_11_015 crossref_primary_10_1007_s00158_018_2019_y crossref_primary_10_1002_nme_6314 crossref_primary_10_1007_s00158_020_02548_w crossref_primary_10_1016_j_cma_2018_10_011 crossref_primary_10_1007_s00158_024_03936_2 crossref_primary_10_1155_2020_4749698 crossref_primary_10_1007_s00466_020_01859_5 crossref_primary_10_1007_s00158_019_02370_z crossref_primary_10_1007_s40032_025_01199_4 crossref_primary_10_1016_j_cma_2020_112930 crossref_primary_10_1002_nme_6084 crossref_primary_10_1007_s00158_022_03219_8 crossref_primary_10_1016_j_cma_2021_114016 crossref_primary_10_1016_j_cma_2021_114456 crossref_primary_10_1016_j_cma_2022_115525 crossref_primary_10_1007_s00158_020_02649_6 crossref_primary_10_1007_s11081_021_09675_3 crossref_primary_10_1002_nme_7255 |
| Cites_doi | 10.1145/1268776.1268779 10.1016/j.cma.2015.02.012 10.1137/S1052623499362822 10.1007/s00158-012-0880-7 10.1002/nme.1044 10.1115/1.1762503 10.1007/s00158-007-0203-6 10.1007/s00158-015-1318-9 10.1515/jnma-2016-1045 10.1007/BF01836562 10.1007/BF01196941 10.1115/1.4036999 10.1137/0916069 10.1115/1.4010553 10.1115/1.4027609 10.1002/nme.1620240207 10.1080/174159794088027573 10.1007/BF01197454 10.1016/j.compstruc.2004.04.002 10.1016/j.cma.2015.05.005 10.1016/0045-7825(91)90046-9 10.1002/(SICI)1097-0207(19981230)43:8<1453::AID-NME480>3.0.CO;2-2 10.1007/BF01650949 10.1007/s00158-009-0440-y |
| ContentType | Journal Article |
| Copyright | 2017 Elsevier B.V. Copyright Elsevier BV Oct 1, 2017 |
| Copyright_xml | – notice: 2017 Elsevier B.V. – notice: Copyright Elsevier BV Oct 1, 2017 |
| DBID | AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1016/j.cma.2017.06.025 |
| DatabaseName | CrossRef 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 |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering |
| EISSN | 1879-2138 |
| EndPage | 21 |
| ExternalDocumentID | 10_1016_j_cma_2017_06_025 S0045782517304577 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1~. 1~5 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO AAYFN ABAOU ABBOA ABFNM ABJNI ABMAC ABYKQ ACAZW ACDAQ ACGFS ACIWK ACRLP ACZNC ADBBV ADEZE ADGUI ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AIALX AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ARUGR AXJTR BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD 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 RIG RNS ROL RPZ SDF SDG SDP SES SPC SPCBC SST SSV SSW SSZ T5K TN5 WH7 XPP ZMT ~02 ~G- 29F 9DU AAQXK AATTM AAXKI AAYWO AAYXX ABEFU ABWVN ABXDB ACLOT ACNNM ACRPL ACVFH ADCNI ADIYS ADJOM ADMUD ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AI. AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN CITATION EFKBS FEDTE FGOYB G-2 HLZ HVGLF HZ~ R2- SBC SET SEW VH1 VOH WUQ ZY4 ~HD 7SC 7TB 8FD AFXIZ AGCQF AGRNS FR3 JQ2 KR7 L7M L~C L~D SSH |
| ID | FETCH-LOGICAL-c325t-a202523c9d7fd5c364383a6b31b0bff34c76c674825a1711721d1af458e1db063 |
| ISICitedReferencesCount | 67 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000411735700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0045-7825 |
| IngestDate | Fri Jul 25 03:43:14 EDT 2025 Tue Nov 18 22:13:32 EST 2025 Sat Nov 29 06:16:35 EST 2025 Fri Feb 23 02:20:28 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Geometry projection Bar structures Topology optimization Design for manufacturing Plate structures Stress constraints |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c325t-a202523c9d7fd5c364383a6b31b0bff34c76c674825a1711721d1af458e1db063 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 1965115223 |
| PQPubID | 2045269 |
| PageCount | 21 |
| ParticipantIDs | proquest_journals_1965115223 crossref_citationtrail_10_1016_j_cma_2017_06_025 crossref_primary_10_1016_j_cma_2017_06_025 elsevier_sciencedirect_doi_10_1016_j_cma_2017_06_025 |
| PublicationCentury | 2000 |
| PublicationDate | 2017-10-01 2017-10-00 20171001 |
| PublicationDateYYYYMMDD | 2017-10-01 |
| PublicationDate_xml | – month: 10 year: 2017 text: 2017-10-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Amsterdam |
| PublicationPlace_xml | – name: Amsterdam |
| PublicationTitle | Computer methods in applied mechanics and engineering |
| PublicationYear | 2017 |
| Publisher | Elsevier B.V Elsevier BV |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier BV |
| References | Zhang, Norato, Gain, Lyu (b3) 2016 Kirsch (b9) 1990; 2 (b29) 2016 Svanberg (b24) 2002; 12 Bruggi (b11) 2008; 36 Svanberg (b23) 1987; 24 Williams (b28) 1952; 19 Tortorelli, Michaleris (b17) 1994; 1 Cai, Zhang (b14) 2015; 289 Zhou, Rozvany (b5) 1991; 89 Huang (b26) 2004; 82 Verbart, Langelaar, van Keulen (b20) 2016 Sinclair (b27) 2004; 57 Bangerth, Davydov, Heister, Heltai, Kanschat, Kronbichler, Maier, Turcksin, Wells (b22) 2016; 24 Bell, Norato, Tortorelli (b1) 2012 Holmberg, Torstenfelt, Klarbring (b12) 2013; 48 Bangerth, Hartmann, Kanschat (b21) 2007; 33 Le, Norato, Bruns, Ha, Tortorelli (b8) 2010; 41 Bendsøe (b4) 1989; 1 Duysinx, Bendsøe (b10) 1998; 43 Verbart, Langelaar, van Keulen (b13) 2016; 53 Guo, Zhang, Zhong (b6) 2014; 81 Byrd, Lu, Nocedal, Zhu (b25) 1995; 16 Cheng, Guo (b7) 1997; 13 Norato, Haber, Tortorelli, Bendsøe (b16) 2004; 60 Duysinx, Sigmund (b19) 1998 Norato, Bell, Tortorelli (b2) 2015; 293 Yang, Chen (b18) 1996; 12 Zhang, Norato (b15) 2017; 139 Duysinx (10.1016/j.cma.2017.06.025_b19) 1998 Verbart (10.1016/j.cma.2017.06.025_b20) 2016 Bangerth (10.1016/j.cma.2017.06.025_b22) 2016; 24 Bendsøe (10.1016/j.cma.2017.06.025_b4) 1989; 1 Byrd (10.1016/j.cma.2017.06.025_b25) 1995; 16 Duysinx (10.1016/j.cma.2017.06.025_b10) 1998; 43 Cai (10.1016/j.cma.2017.06.025_b14) 2015; 289 Yang (10.1016/j.cma.2017.06.025_b18) 1996; 12 Holmberg (10.1016/j.cma.2017.06.025_b12) 2013; 48 Norato (10.1016/j.cma.2017.06.025_b2) 2015; 293 Tortorelli (10.1016/j.cma.2017.06.025_b17) 1994; 1 Bell (10.1016/j.cma.2017.06.025_b1) 2012 Kirsch (10.1016/j.cma.2017.06.025_b9) 1990; 2 Zhang (10.1016/j.cma.2017.06.025_b15) 2017; 139 Svanberg (10.1016/j.cma.2017.06.025_b23) 1987; 24 Svanberg (10.1016/j.cma.2017.06.025_b24) 2002; 12 Verbart (10.1016/j.cma.2017.06.025_b13) 2016; 53 Zhou (10.1016/j.cma.2017.06.025_b5) 1991; 89 Norato (10.1016/j.cma.2017.06.025_b16) 2004; 60 Cheng (10.1016/j.cma.2017.06.025_b7) 1997; 13 Bruggi (10.1016/j.cma.2017.06.025_b11) 2008; 36 Sinclair (10.1016/j.cma.2017.06.025_b27) 2004; 57 Le (10.1016/j.cma.2017.06.025_b8) 2010; 41 Zhang (10.1016/j.cma.2017.06.025_b3) 2016 Williams (10.1016/j.cma.2017.06.025_b28) 1952; 19 (10.1016/j.cma.2017.06.025_b29) 2016 Huang (10.1016/j.cma.2017.06.025_b26) 2004; 82 Guo (10.1016/j.cma.2017.06.025_b6) 2014; 81 Bangerth (10.1016/j.cma.2017.06.025_b21) 2007; 33 |
| References_xml | – volume: 48 start-page: 33 year: 2013 end-page: 47 ident: b12 article-title: Stress constrained topology optimization publication-title: Struct. Multidiscip. Optim. – volume: 24 year: 2016 ident: b22 article-title: The publication-title: J. Numer. Math. – volume: 24 start-page: 359 year: 1987 end-page: 373 ident: b23 article-title: The method of moving asymptotes—a new method for structural optimization publication-title: Internat. J. Numer. Methods Engrg. – volume: 81 start-page: 081009 year: 2014 ident: b6 article-title: Doing topology optimization explicitly and geometrically a new moving morphable components based framework publication-title: J. Appl. Mech. – volume: 13 start-page: 258 year: 1997 end-page: 266 ident: b7 article-title: -relaxed approach in structural topology optimization publication-title: Struct. Optim. – volume: 33 start-page: 24/1 year: 2007 end-page: 24/27 ident: b21 article-title: deal.II – a General purpose object oriented finite element library publication-title: ACM Trans. Math. Software – volume: 139 start-page: 081403 year: 2017 ident: b15 article-title: Optimal design of panel reinforcements with ribs made of plates publication-title: J. Mech. Des. – volume: 53 start-page: 1081 year: 2016 end-page: 1098 ident: b13 article-title: Damage approach: A new method for topology optimization with local stress constraints publication-title: Struct. Multidiscip. Optim. – volume: 60 start-page: 2289 year: 2004 end-page: 2312 ident: b16 article-title: A geometry projection method for shape optimization publication-title: Internat. J. Numer. Methods Engrg. – start-page: 1 year: 2016 end-page: 17 ident: b20 article-title: A unified aggregation and relaxation approach for stress-constrained topology optimization publication-title: Struct. Multidiscip. Optim. – start-page: 4906 year: 1998 ident: b19 article-title: New developments in handling stress constraints in optimal material distribution publication-title: 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization – volume: 293 start-page: 306 year: 2015 end-page: 327 ident: b2 article-title: A geometry projection method for continuum-based topology optimization with discrete elements publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 12 start-page: 98 year: 1996 end-page: 105 ident: b18 article-title: Stress-based topology optimization publication-title: Struct. Optim. – volume: 82 start-page: 1657 year: 2004 end-page: 1669 ident: b26 article-title: Corner stress singularities in a high-order plate theory publication-title: Comput. Struct. – volume: 1 start-page: 71 year: 1994 end-page: 105 ident: b17 article-title: Design sensitivity analysis: overview and review publication-title: Inverse Prob. Eng. – start-page: 1 year: 2016 end-page: 18 ident: b3 article-title: A geometry projection method for the topology optimization of plate structures publication-title: Struct. Multidiscip. Optim. – volume: 1 start-page: 193 year: 1989 end-page: 202 ident: b4 article-title: Optimal shape design as a material distribution problem publication-title: Struct. Optim. – start-page: 5485 year: 2012 ident: b1 article-title: A geometry projection method for continuum-based topology optimization of structures publication-title: 12th AIAA Aviation Technology, Integration, and Operations (ATIO) Conference and 14th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference – year: 2016 ident: b29 article-title: OptiStruct, Users Manual v/. 14.0 – volume: 12 start-page: 555 year: 2002 end-page: 573 ident: b24 article-title: A class of globally convergent optimization methods based on conservative convex separable approximations publication-title: SIAM J. Optim. – volume: 57 start-page: 251 year: 2004 end-page: 298 ident: b27 article-title: Stress singularities in classical elasticity—I: Removal, interpretation, and analysis publication-title: Appl. Mech. Rev. – volume: 41 start-page: 605 year: 2010 end-page: 620 ident: b8 article-title: Stress-based topology optimization for continua publication-title: Struct. Multidiscip. Optim. – volume: 289 start-page: 267 year: 2015 end-page: 290 ident: b14 article-title: Stress constrained topology optimization with free-form design domains publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 2 start-page: 133 year: 1990 end-page: 142 ident: b9 article-title: On singular topologies in optimum structural design publication-title: Struct. Optim. – volume: 43 start-page: 1453 year: 1998 end-page: 1478 ident: b10 article-title: Topology optimization of continuum structures with local stress constraints publication-title: Internat. J. Numer. Methods Engrg. – volume: 16 start-page: 1190 year: 1995 end-page: 1208 ident: b25 article-title: A limited memory algorithm for bound constrained optimization publication-title: SIAM J. Sci. Comput. – volume: 36 start-page: 125 year: 2008 end-page: 141 ident: b11 article-title: On an alternative approach to stress constraints relaxation in topology optimization publication-title: Struct. Multidiscip. Optim. – volume: 19 start-page: 526 year: 1952 end-page: 528 ident: b28 article-title: Stress singularities resulting from various boundary conditions publication-title: J. Appl. Mech. – volume: 89 start-page: 309 year: 1991 end-page: 336 ident: b5 article-title: The COC algorithm, Part II: Topological, geometrical and generalized shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 33 start-page: 24/1 issue: 4 year: 2007 ident: 10.1016/j.cma.2017.06.025_b21 article-title: deal.II – a General purpose object oriented finite element library publication-title: ACM Trans. Math. Software doi: 10.1145/1268776.1268779 – volume: 289 start-page: 267 year: 2015 ident: 10.1016/j.cma.2017.06.025_b14 article-title: Stress constrained topology optimization with free-form design domains publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2015.02.012 – volume: 12 start-page: 555 issue: 2 year: 2002 ident: 10.1016/j.cma.2017.06.025_b24 article-title: A class of globally convergent optimization methods based on conservative convex separable approximations publication-title: SIAM J. Optim. doi: 10.1137/S1052623499362822 – volume: 48 start-page: 33 issue: 1 year: 2013 ident: 10.1016/j.cma.2017.06.025_b12 article-title: Stress constrained topology optimization publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-012-0880-7 – volume: 60 start-page: 2289 issue: 14 year: 2004 ident: 10.1016/j.cma.2017.06.025_b16 article-title: A geometry projection method for shape optimization publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.1044 – start-page: 4906 year: 1998 ident: 10.1016/j.cma.2017.06.025_b19 article-title: New developments in handling stress constraints in optimal material distribution – volume: 57 start-page: 251 issue: 4 year: 2004 ident: 10.1016/j.cma.2017.06.025_b27 article-title: Stress singularities in classical elasticity—I: Removal, interpretation, and analysis publication-title: Appl. Mech. Rev. doi: 10.1115/1.1762503 – year: 2016 ident: 10.1016/j.cma.2017.06.025_b29 – start-page: 1 year: 2016 ident: 10.1016/j.cma.2017.06.025_b20 article-title: A unified aggregation and relaxation approach for stress-constrained topology optimization publication-title: Struct. Multidiscip. Optim. – start-page: 5485 year: 2012 ident: 10.1016/j.cma.2017.06.025_b1 article-title: A geometry projection method for continuum-based topology optimization of structures – volume: 36 start-page: 125 issue: 2 year: 2008 ident: 10.1016/j.cma.2017.06.025_b11 article-title: On an alternative approach to stress constraints relaxation in topology optimization publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-007-0203-6 – volume: 53 start-page: 1081 issue: 5 year: 2016 ident: 10.1016/j.cma.2017.06.025_b13 article-title: Damage approach: A new method for topology optimization with local stress constraints publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-015-1318-9 – volume: 24 year: 2016 ident: 10.1016/j.cma.2017.06.025_b22 article-title: The deal.II library, version 8.4 publication-title: J. Numer. Math. doi: 10.1515/jnma-2016-1045 – volume: 2 start-page: 133 issue: 3 year: 1990 ident: 10.1016/j.cma.2017.06.025_b9 article-title: On singular topologies in optimum structural design publication-title: Struct. Optim. doi: 10.1007/BF01836562 – volume: 12 start-page: 98 issue: 2–3 year: 1996 ident: 10.1016/j.cma.2017.06.025_b18 article-title: Stress-based topology optimization publication-title: Struct. Optim. doi: 10.1007/BF01196941 – volume: 139 start-page: 081403 issue: 8 year: 2017 ident: 10.1016/j.cma.2017.06.025_b15 article-title: Optimal design of panel reinforcements with ribs made of plates publication-title: J. Mech. Des. doi: 10.1115/1.4036999 – volume: 16 start-page: 1190 issue: 5 year: 1995 ident: 10.1016/j.cma.2017.06.025_b25 article-title: A limited memory algorithm for bound constrained optimization publication-title: SIAM J. Sci. Comput. doi: 10.1137/0916069 – volume: 19 start-page: 526 issue: 4 year: 1952 ident: 10.1016/j.cma.2017.06.025_b28 article-title: Stress singularities resulting from various boundary conditions publication-title: J. Appl. Mech. doi: 10.1115/1.4010553 – volume: 81 start-page: 081009 issue: 8 year: 2014 ident: 10.1016/j.cma.2017.06.025_b6 article-title: Doing topology optimization explicitly and geometrically a new moving morphable components based framework publication-title: J. Appl. Mech. doi: 10.1115/1.4027609 – start-page: 1 year: 2016 ident: 10.1016/j.cma.2017.06.025_b3 article-title: A geometry projection method for the topology optimization of plate structures publication-title: Struct. Multidiscip. Optim. – volume: 24 start-page: 359 issue: 2 year: 1987 ident: 10.1016/j.cma.2017.06.025_b23 article-title: The method of moving asymptotes—a new method for structural optimization publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.1620240207 – volume: 1 start-page: 71 issue: 1 year: 1994 ident: 10.1016/j.cma.2017.06.025_b17 article-title: Design sensitivity analysis: overview and review publication-title: Inverse Prob. Eng. doi: 10.1080/174159794088027573 – volume: 13 start-page: 258 issue: 4 year: 1997 ident: 10.1016/j.cma.2017.06.025_b7 article-title: ε-relaxed approach in structural topology optimization publication-title: Struct. Optim. doi: 10.1007/BF01197454 – volume: 82 start-page: 1657 issue: 20 year: 2004 ident: 10.1016/j.cma.2017.06.025_b26 article-title: Corner stress singularities in a high-order plate theory publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2004.04.002 – volume: 293 start-page: 306 year: 2015 ident: 10.1016/j.cma.2017.06.025_b2 article-title: A geometry projection method for continuum-based topology optimization with discrete elements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2015.05.005 – volume: 89 start-page: 309 issue: 1–3 year: 1991 ident: 10.1016/j.cma.2017.06.025_b5 article-title: The COC algorithm, Part II: Topological, geometrical and generalized shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/0045-7825(91)90046-9 – volume: 43 start-page: 1453 issue: 8 year: 1998 ident: 10.1016/j.cma.2017.06.025_b10 article-title: Topology optimization of continuum structures with local stress constraints publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/(SICI)1097-0207(19981230)43:8<1453::AID-NME480>3.0.CO;2-2 – volume: 1 start-page: 193 issue: 4 year: 1989 ident: 10.1016/j.cma.2017.06.025_b4 article-title: Optimal shape design as a material distribution problem publication-title: Struct. Optim. doi: 10.1007/BF01650949 – volume: 41 start-page: 605 issue: 4 year: 2010 ident: 10.1016/j.cma.2017.06.025_b8 article-title: Stress-based topology optimization for continua publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-009-0440-y |
| SSID | ssj0000812 |
| Score | 2.4983068 |
| Snippet | In this paper, we introduce a framework for the stress-based topology optimization of structures made by the assembly of discrete geometric components, such as... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1 |
| SubjectTerms | Bar structures Bars Design for manufacturing Discrete element method Finite element method Geometry projection Meshing Optimization algorithms Plate structures Stress constraints Stress state Stresses Studies Topology Topology optimization |
| Title | Stress-based topology optimization with discrete geometric components |
| URI | https://dx.doi.org/10.1016/j.cma.2017.06.025 https://www.proquest.com/docview/1965115223 |
| Volume | 325 |
| WOSCitedRecordID | wos000411735700001&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 customDbUrl: eissn: 1879-2138 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000812 issn: 0045-7825 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3db9MwELfKxgM88DFAbAyUB56oUsVxEiePFSpfmiakDalvlmM7iKlNqrab9s4_vrvYTsIqJkDixYrSJHZ957vz-e53hLzlXCWK8zLMdcHDRBew5qANjaRgbZdM07IFcT3hp6f5fF58HY1--lyYqwWv6_z6ulj9V1LDPSA2ps7-Bbm7j8INuAaiQwtkh_aPCH_WZn-EqJ40WJYrC7LUgGhYupxL63zFfNw1mMzj76ZZYl0t1caXN7VHd-oADFzhB1dtug2glc54XRrMHPZIz6YHN9x1SOPFoul_-SgdfMH6sh6fTDqvNPJk06Vu4zk-rcfTydA9ASrPB7o5n9lO3oyVw0kagm1iz7ONFb05L8KYWqwXL5uZe8RKVzpQ0zavekcBWF_ExUS1oFKUt-Csvp9fcLXPcBA4BsrxtJjze2Q_5mkB0n1_-nk2_9Ir9Jxa0Hk3aH843oYJ3urod-bNLUXfWi_nT8gjt-0IppZdnpKRqQ_IY7cFCZyA3xyQhwN8ymdkNuSlwPNSMOSlAHkp8LwUdLwU9Lz0nHz7MDt__yl0dTdCBfO9DWUMfyRmqtC80qliGcLZyqxktIzKqmKwuDOFRWriVFJO0YmgqaySNDdUl2DzviB7NfTwkgRFlPMqYloh7CCLjcxkkrFSRwYM18jQQxL56RLKgdJjbZSF8NGHFwJmWOAMC4zAjNND8q57ZWURWe56OPE0EM6ktKaiAIa567VjTy_hlvZGIPYm7J_Anj76t6--Ig_6FXJM9rbrS_Oa3FdX2x-b9RvHdTfHFqQQ |
| 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=Stress-based+topology+optimization+with+discrete+geometric+components&rft.jtitle=Computer+methods+in+applied+mechanics+and+engineering&rft.au=Zhang%2C+Shanglong&rft.au=Gain%2C+Arun+L.&rft.au=Norato%2C+Juli%C3%A1n+A.&rft.date=2017-10-01&rft.pub=Elsevier+B.V&rft.issn=0045-7825&rft.eissn=1879-2138&rft.volume=325&rft.spage=1&rft.epage=21&rft_id=info:doi/10.1016%2Fj.cma.2017.06.025&rft.externalDocID=S0045782517304577 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0045-7825&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0045-7825&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0045-7825&client=summon |