{"id":"https://openalex.org/W2096583256","doi":"https://doi.org/10.1109/coase.2007.4341689","title":"Von Mises Stress and Level Set Method based Structural Topology Optimization with Multi-phase Materials","display_name":"Von Mises Stress and Level Set Method based Structural Topology Optimization with Multi-phase Materials","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W2096583256","doi":"https://doi.org/10.1109/coase.2007.4341689","mag":"2096583256"},"language":"en","primary_location":{"id":"doi:10.1109/coase.2007.4341689","is_oa":false,"landing_page_url":"https://doi.org/10.1109/coase.2007.4341689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conference on Automation Science and Engineering","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033176730","display_name":"Chungang Zhuang","orcid":"https://orcid.org/0000-0003-3715-5615"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chungang Zhuang","raw_affiliation_strings":["School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, China","Shanghai Jiao Tong University, Shanghai"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036757330","display_name":"Zhenhua Xiong","orcid":"https://orcid.org/0000-0001-6046-3101"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenhua Xiong","raw_affiliation_strings":["School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, China","Shanghai Jiao Tong University, Shanghai"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078125284","display_name":"Xiangyang Zhu","orcid":"https://orcid.org/0000-0003-4914-6636"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyang Zhu","raw_affiliation_strings":["School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, China","Shanghai Jiao Tong University, Shanghai"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077486208","display_name":"Han Ding","orcid":"https://orcid.org/0000-0002-0275-862X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Han Ding","raw_affiliation_strings":["School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, China","Shanghai Jiao Tong University, Shanghai"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":null,"first_page":"945","last_page":"949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9998999834060669,"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":0.9998999834060669,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9413999915122986,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9132999777793884,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topology-optimization","display_name":"Topology optimization","score":0.8695169687271118},{"id":"https://openalex.org/keywords/level-set-method","display_name":"Level set method","score":0.7977623343467712},{"id":"https://openalex.org/keywords/von-mises-yield-criterion","display_name":"von Mises yield criterion","score":0.7792857885360718},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6143831610679626},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.5768076181411743},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5435329675674438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5330278873443604},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5251724123954773},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5069172978401184},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5020620822906494},{"id":"https://openalex.org/keywords/stress","display_name":"Stress (linguistics)","score":0.45597586035728455},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4101613759994507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3610606789588928},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33404654264450073},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.19151541590690613},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.1192348301410675},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1046265959739685},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.10115939378738403},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08839753270149231}],"concepts":[{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.8695169687271118},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.7977623343467712},{"id":"https://openalex.org/C155165730","wikidata":"https://www.wikidata.org/wiki/Q1319519","display_name":"von Mises yield criterion","level":3,"score":0.7792857885360718},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6143831610679626},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.5768076181411743},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5435329675674438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5330278873443604},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5251724123954773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5069172978401184},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5020620822906494},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.45597586035728455},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4101613759994507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3610606789588928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33404654264450073},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.19151541590690613},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.1192348301410675},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1046265959739685},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.10115939378738403},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08839753270149231},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/coase.2007.4341689","is_oa":false,"landing_page_url":"https://doi.org/10.1109/coase.2007.4341689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conference on Automation Science and Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W980002800","https://openalex.org/W1238092070","https://openalex.org/W1575923498","https://openalex.org/W1967849536","https://openalex.org/W1972499504","https://openalex.org/W1979168015","https://openalex.org/W1982739078","https://openalex.org/W1991113069","https://openalex.org/W1995067704","https://openalex.org/W2015523180","https://openalex.org/W2016413885","https://openalex.org/W2024978924","https://openalex.org/W2025329066","https://openalex.org/W2069697210","https://openalex.org/W2086620292","https://openalex.org/W2092801729","https://openalex.org/W2093834886","https://openalex.org/W2100804804","https://openalex.org/W2110696842","https://openalex.org/W2118555989","https://openalex.org/W2122397978","https://openalex.org/W2132034927","https://openalex.org/W2137726847","https://openalex.org/W2139513792","https://openalex.org/W2153105597","https://openalex.org/W2158862486","https://openalex.org/W2165734775","https://openalex.org/W6680656674"],"related_works":["https://openalex.org/W2367921179","https://openalex.org/W2707457586","https://openalex.org/W2354244208","https://openalex.org/W3080476861","https://openalex.org/W657288383","https://openalex.org/W2084173031","https://openalex.org/W2539716919","https://openalex.org/W2032697618","https://openalex.org/W2098360446","https://openalex.org/W2790144624"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3],"topology":[4,49],"optimization":[5,63,119],"method":[6,16,26,55,129],"based":[7,40],"on":[8,70],"Von":[9,88],"Mises":[10,89],"stress":[11,90],"and":[12,65],"the":[13,18,23,33,36,52,62,66,71,78,85,96,99,103,111,117,123,126,131,138,141],"level":[14,24,37,53,127],"set":[15,25,38,54,128],"for":[17],"multiple":[19,107],"materials":[20,108],"design.":[21],"Since":[22],"can":[27,56],"naturally":[28],"handle":[29],"topological":[30,73],"changes":[31],"during":[32,61],"interface":[34],"propagation,":[35],"model":[39],"material":[41,92],"implicit":[42],"representation":[43],"has":[44],"been":[45],"applied":[46],"to":[47,84,94,109],"structural":[48],"optimization.":[50],"However,":[51],"not":[57],"generate":[58],"new":[59,79],"holes":[60,80],"process":[64],"final":[67],"result":[68],"depends":[69],"initial":[72],"guess.":[74],"In":[75],"this":[76],"paper,":[77],"are":[81],"generated":[82],"according":[83],"distribution":[86],"of":[87,98,106,140],"in":[91],"region":[93],"suppress":[95],"dependence":[97],"initialization.":[100],"We":[101],"establish":[102],"replacement":[104],"strategy":[105],"make":[110],"objective":[112],"function":[113],"minimum.":[114],"And":[115],"then,":[116],"shape":[118],"is":[120],"implemented":[121],"by":[122],"propagating":[124],"using":[125],"with":[130],"descent":[132],"gradient":[133],"direction.":[134],"Numerical":[135],"examples":[136],"demonstrate":[137],"validity":[139],"proposed":[142],"method.":[143]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}