{"id":"https://openalex.org/W7224739763","doi":"https://doi.org/10.1177/10812865261498807","title":"Data-driven three-dimensional topology optimization using the ResUNet-based generative adversarial network","display_name":"Data-driven three-dimensional topology optimization using the ResUNet-based generative adversarial network","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224739763","doi":"https://doi.org/10.1177/10812865261498807"},"language":"en","primary_location":{"id":"doi:10.1177/10812865261498807","doi":"https://doi.org/10.1177/10812865261498807","is_oa":true,"landing_page_url":"https://doi.org/10.1177/10812865261498807","pdf_url":"https://journals.sagepub.com/doi/pdf/10.1177/10812865261498807?download=true","source":{"id":"https://openalex.org/S986251842","display_name":"Mathematics and Mechanics of Solids","issn_l":"1081-2865","issn":["1081-2865","1741-3028"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Mechanics of Solids","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://journals.sagepub.com/doi/pdf/10.1177/10812865261498807?download=true","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125533920","display_name":"Jicheng Li","orcid":"https://orcid.org/0009-0003-0829-8120","observed_orcids":["https://orcid.org/0009-0003-0829-8120"]},"institutions":[{"id":"https://openalex.org/I4210118050","display_name":"Taishan University","ror":"https://ror.org/02bpnkx55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210118050"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jicheng Li","raw_affiliation_strings":["College of Mechanical Engineering, Taishan University, Shandong, China"],"raw_orcid":"https://orcid.org/0009-0003-0829-8120","affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Taishan University, Shandong, China","institution_ids":["https://openalex.org/I4210118050"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067905013","display_name":"Yongjia Dong","orcid":"https://orcid.org/0000-0002-7384-6096","observed_orcids":["https://orcid.org/0000-0002-7384-6096"]},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongjia Dong","raw_affiliation_strings":["Department of Mechanics, Beijing University of Technology, Beijing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanics, Beijing University of Technology, Beijing, P. R. China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111276572","display_name":"Sujun Wang","orcid":"https://orcid.org/0009-0005-9113-5123","observed_orcids":["https://orcid.org/0009-0005-9113-5123"]},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sujun Wang","raw_affiliation_strings":["Department of Mechanics, Beijing University of Technology, Beijing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanics, Beijing University of Technology, Beijing, P. R. China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040339136","display_name":"Hongling Ye","orcid":"https://orcid.org/0000-0001-8370-1942","observed_orcids":["https://orcid.org/0000-0001-8370-1942"]},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongling Ye","raw_affiliation_strings":["Department of Mechanics, Beijing University of Technology, Beijing, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-8370-1942","affiliations":[{"raw_affiliation_string":"Department of Mechanics, Beijing University of Technology, Beijing, P. R. China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5125533920"],"corresponding_institution_ids":["https://openalex.org/I4210118050"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.80269592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11948","display_name":"Machine Learning in Materials Science","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topology-optimization","display_name":"topology optimization","score":0.8080000281333923},{"id":"https://openalex.org/keywords/generative-adversarial-networks","display_name":"generative adversarial networks","score":0.8119999766349792},{"id":"https://openalex.org/keywords/resunet","display_name":"ResUNet","score":0.9829999804496765},{"id":"https://openalex.org/keywords/data-driven-design","display_name":"data-driven design","score":0.906000018119812},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.6370000243186951},{"id":"https://openalex.org/keywords/wheel-design","display_name":"wheel design","score":0.6970000267028809},{"id":"https://openalex.org/keywords/mbb-beam","display_name":"MBB beam","score":0.796999990940094},{"id":"https://openalex.org/keywords/cantilever-beam","display_name":"cantilever beam","score":0.9950000047683716}],"concepts":[{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.8773000240325928},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6151000261306763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5968999862670898},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.557200014591217},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48500001430511475},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4781999886035919},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4657000005245209},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.4413999915122986},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4352000057697296},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.41350001096725464},{"id":"https://openalex.org/C2778370241","wikidata":"https://www.wikidata.org/wiki/Q18386598","display_name":"Parametric design","level":3,"score":0.38260000944137573},{"id":"https://openalex.org/C143913944","wikidata":"https://www.wikidata.org/wiki/Q5421952","display_name":"Extension topology","level":4,"score":0.38190001249313354},{"id":"https://openalex.org/C184408114","wikidata":"https://www.wikidata.org/wiki/Q1502022","display_name":"Generative Design","level":3,"score":0.3650999963283539},{"id":"https://openalex.org/C34972735","wikidata":"https://www.wikidata.org/wiki/Q2920267","display_name":"Engineering design process","level":2,"score":0.3467999994754791},{"id":"https://openalex.org/C150185637","wikidata":"https://www.wikidata.org/wiki/Q7705773","display_name":"Test functions for optimization","level":4,"score":0.33799999952316284},{"id":"https://openalex.org/C110850998","wikidata":"https://www.wikidata.org/wiki/Q5377895","display_name":"Engineering optimization","level":3,"score":0.33169999718666077},{"id":"https://openalex.org/C181576044","wikidata":"https://www.wikidata.org/wiki/Q4129926","display_name":"Computational topology","level":3,"score":0.3271999955177307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3246999979019165},{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.3151000142097473},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.31279999017715454},{"id":"https://openalex.org/C129866940","wikidata":"https://www.wikidata.org/wiki/Q505760","display_name":"Weak topology (polar topology)","level":5,"score":0.29989999532699585},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.29660001397132874},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.2897999882698059},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28769999742507935},{"id":"https://openalex.org/C2755393","wikidata":"https://www.wikidata.org/wiki/Q1939186","display_name":"Geometric topology","level":3,"score":0.2759999930858612},{"id":"https://openalex.org/C92995354","wikidata":"https://www.wikidata.org/wiki/Q5165499","display_name":"Continuous optimization","level":4,"score":0.2703000009059906},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.2667999863624573},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2529999911785126}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/10812865261498807","doi":"https://doi.org/10.1177/10812865261498807","is_oa":true,"landing_page_url":"https://doi.org/10.1177/10812865261498807","pdf_url":"https://journals.sagepub.com/doi/pdf/10.1177/10812865261498807?download=true","source":{"id":"https://openalex.org/S986251842","display_name":"Mathematics and Mechanics of Solids","issn_l":"1081-2865","issn":["1081-2865","1741-3028"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Mechanics of Solids","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1177/10812865261498807","doi":"https://doi.org/10.1177/10812865261498807","is_oa":true,"landing_page_url":"https://doi.org/10.1177/10812865261498807","pdf_url":"https://journals.sagepub.com/doi/pdf/10.1177/10812865261498807?download=true","source":{"id":"https://openalex.org/S986251842","display_name":"Mathematics and Mechanics of Solids","issn_l":"1081-2865","issn":["1081-2865","1741-3028"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Mechanics of Solids","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224739763.pdf","grobid_xml":"https://content.openalex.org/works/W7224739763.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W870718912","https://openalex.org/W1995584339","https://openalex.org/W2047202559","https://openalex.org/W2104620528","https://openalex.org/W2135333858","https://openalex.org/W2156956713","https://openalex.org/W2194775991","https://openalex.org/W2194971623","https://openalex.org/W2757408183","https://openalex.org/W2803594690","https://openalex.org/W2882993259","https://openalex.org/W2919115771","https://openalex.org/W2984973432","https://openalex.org/W3011193154","https://openalex.org/W3014261756","https://openalex.org/W3019895925","https://openalex.org/W3024236378","https://openalex.org/W3025017190","https://openalex.org/W3082366755","https://openalex.org/W3099114369","https://openalex.org/W3104308132","https://openalex.org/W3118861583","https://openalex.org/W3131305014","https://openalex.org/W3140854437","https://openalex.org/W3146392681","https://openalex.org/W3148068072","https://openalex.org/W3193036621","https://openalex.org/W3193111610","https://openalex.org/W3206867662","https://openalex.org/W3217049684","https://openalex.org/W4200404680","https://openalex.org/W4223536833","https://openalex.org/W4281254045","https://openalex.org/W4283574369","https://openalex.org/W4309926400","https://openalex.org/W4378363283","https://openalex.org/W4388732837","https://openalex.org/W4389182852","https://openalex.org/W4395005656","https://openalex.org/W4401831329","https://openalex.org/W4403776695","https://openalex.org/W4404435095","https://openalex.org/W4406963414","https://openalex.org/W4408237690","https://openalex.org/W4409969870","https://openalex.org/W4410216351","https://openalex.org/W4412598724","https://openalex.org/W4413306342","https://openalex.org/W4413770359","https://openalex.org/W4413912749"],"related_works":["https://openalex.org/W4389313811","https://openalex.org/W2930376286","https://openalex.org/W3103906289","https://openalex.org/W4404315736","https://openalex.org/W4392588381","https://openalex.org/W4403334244","https://openalex.org/W3011193154","https://openalex.org/W3180444804","https://openalex.org/W2888764088","https://openalex.org/W4413874731"],"abstract_inverted_index":{"Topology":[0],"optimization":[1,44,53,103,168,178],"is":[2,55,72,96,117],"a":[3,49,67,90,143,172],"layout":[4],"design":[5,13,27,81,123,163],"method":[6,54],"that":[7],"determines":[8],"material":[9],"distribution":[10],"in":[11,29,169],"the":[12,17,25,38,59,76,80,84,100,107,111,121,147,162],"domain":[14,82],"to":[15,57,74,83,98,119],"obtain":[16],"optimal":[18],"structural":[19,64],"performance":[20],"under":[21],"specific":[22],"constraints.":[23],"However,":[24],"high":[26],"freedom":[28],"three-dimensional":[30,63,86,92,101,125,166],"structures":[31],"enormously":[32],"increases":[33],"computational":[34,60],"complexity,":[35],"which":[36],"limits":[37],"engineering":[39],"applicability":[40],"of":[41,62,153,165],"conventional":[42],"topology":[43,52,102,167,177],"methods.":[45,179],"In":[46],"this":[47],"paper,":[48],"novel":[50],"data-driven":[51,108,176],"presented":[56],"enhance":[58],"efficiency":[61,164],"design.":[65],"First,":[66],"ResUNet-based":[68,113,154],"generative":[69,114,155],"adversarial":[70,115,156],"network":[71,116],"proposed":[73],"establish":[75],"nonlinear":[77],"mapping":[78],"from":[79],"corresponding":[85],"topological":[87],"configuration.":[88],"Subsequently,":[89],"universal":[91],"parametric":[93],"encoding":[94],"strategy":[95],"developed":[97],"extend":[99],"dataset":[104],"for":[105,124,175],"training":[106],"model.":[109],"Finally,":[110],"well-trained":[112],"deployed":[118],"realize":[120],"end-to-end":[122],"structures.":[126],"Numerical":[127],"simulations":[128],"on":[129],"three":[130],"representative":[131],"cases\u2014a":[132],"cantilever":[133],"beam,":[134,141],"an":[135],"MBB":[136],"(Messerschmitt-B":[137],"o":[138],"\u00b7\u00b7":[139],"lkow-Blohm)":[140],"and":[142,150],"practical":[144],"wheel":[145],"design\u2014validate":[146],"effectiveness,":[148],"robustness,":[149],"generalization":[151],"capability":[152],"network.":[157],"This":[158],"research":[159],"significantly":[160],"enhanced":[161],"engineering,":[170],"providing":[171],"new":[173],"paradigm":[174]},"counts_by_year":[],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2026-10-31T00:00:00"}