{"id":"https://openalex.org/W4392186867","doi":"https://doi.org/10.1007/s00366-024-01945-9","title":"A smooth single-variable-based interpolation function for multi-material topology optimization","display_name":"A smooth single-variable-based interpolation function for multi-material topology optimization","publication_year":2024,"publication_date":"2024-02-27","ids":{"openalex":"https://openalex.org/W4392186867","doi":"https://doi.org/10.1007/s00366-024-01945-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-024-01945-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-024-01945-9","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://biblio.ugent.be/publication/01HWMJHGPJKFTFBK1QTY2SY95M/file/01K6A6WWM3G9Y1H9YX2S912H7T.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067728048","display_name":"Tien Dung Dinh","orcid":"https://orcid.org/0000-0001-5582-3096"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"T. D. Dinh","raw_affiliation_strings":["Department of Materials, Textiles and Chemical Engineering (MaTCh), Faculty of Engineering and Architecture, Ghent University, Tech-Lane Ghent Science Park-Campus A, Technologiepark-Zwijnaarde 46, 9052, Zwijnaarde, Belgium"],"raw_orcid":"https://orcid.org/0000-0001-5582-3096","affiliations":[{"raw_affiliation_string":"Department of Materials, Textiles and Chemical Engineering (MaTCh), Faculty of Engineering and Architecture, Ghent University, Tech-Lane Ghent Science Park-Campus A, Technologiepark-Zwijnaarde 46, 9052, Zwijnaarde, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039053785","display_name":"Saeid Hedayatrasa","orcid":"https://orcid.org/0000-0003-1525-5324"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"S. Hedayatrasa","raw_affiliation_strings":["Department of Materials, Textiles and Chemical Engineering (MaTCh), Faculty of Engineering and Architecture, Ghent University, Tech-Lane Ghent Science Park-Campus A, Technologiepark-Zwijnaarde 46, 9052, Zwijnaarde, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Materials, Textiles and Chemical Engineering (MaTCh), Faculty of Engineering and Architecture, Ghent University, Tech-Lane Ghent Science Park-Campus A, Technologiepark-Zwijnaarde 46, 9052, Zwijnaarde, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040703807","display_name":"F. Bormann","orcid":"https://orcid.org/0000-0001-5575-393X"},"institutions":[{"id":"https://openalex.org/I4210093035","display_name":"Materials innovation institute","ror":"https://ror.org/00fyemf28","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210093035"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"F. Bormann","raw_affiliation_strings":["Materials Innovation Institute (M2i), Delft, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Materials Innovation Institute (M2i), Delft, The Netherlands","institution_ids":["https://openalex.org/I4210093035"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068359633","display_name":"M.G.C. Bosman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Bosman","raw_affiliation_strings":["GKN Aerospace, Papendrecht, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GKN Aerospace, Papendrecht, The Netherlands","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010828095","display_name":"Wim Van Paepegem","orcid":"https://orcid.org/0000-0003-0672-3675"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"W. Van Paepegem","raw_affiliation_strings":["Department of Materials, Textiles and Chemical Engineering (MaTCh), Faculty of Engineering and Architecture, Ghent University, Tech-Lane Ghent Science Park-Campus A, Technologiepark-Zwijnaarde 46, 9052, Zwijnaarde, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Materials, Textiles and Chemical Engineering (MaTCh), Faculty of Engineering and Architecture, Ghent University, Tech-Lane Ghent Science Park-Campus A, Technologiepark-Zwijnaarde 46, 9052, Zwijnaarde, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067728048"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.3187,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8649367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"40","issue":"5","first_page":"2841","last_page":"2855"},"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":0.9645000100135803,"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":0.9506999850273132,"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":0.7824896574020386},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7710486650466919},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6822119951248169},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.533674418926239},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.532349169254303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4577793478965759},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4528319835662842},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4423438310623169},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4377749264240265},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.43229344487190247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42743057012557983},{"id":"https://openalex.org/keywords/test-functions-for-optimization","display_name":"Test functions for optimization","score":0.41398465633392334},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3620623052120209},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32139137387275696},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.25430387258529663},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.14789432287216187},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07479578256607056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06923872232437134}],"concepts":[{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.7824896574020386},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7710486650466919},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6822119951248169},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.533674418926239},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.532349169254303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4577793478965759},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4528319835662842},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4423438310623169},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4377749264240265},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.43229344487190247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42743057012557983},{"id":"https://openalex.org/C150185637","wikidata":"https://www.wikidata.org/wiki/Q7705773","display_name":"Test functions for optimization","level":4,"score":0.41398465633392334},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3620623052120209},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32139137387275696},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.25430387258529663},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.14789432287216187},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07479578256607056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06923872232437134},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00366-024-01945-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-024-01945-9","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:01HWMJHGPJKFTFBK1QTY2SY95M","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-01HWMJHGPJKFTFBK1QTY2SY95M","pdf_url":"https://biblio.ugent.be/publication/01HWMJHGPJKFTFBK1QTY2SY95M/file/01K6A6WWM3G9Y1H9YX2S912H7T.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1435-5663","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:archive.ugent.be:01HWMJHGPJKFTFBK1QTY2SY95M","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-01HWMJHGPJKFTFBK1QTY2SY95M","pdf_url":"https://biblio.ugent.be/publication/01HWMJHGPJKFTFBK1QTY2SY95M/file/01K6A6WWM3G9Y1H9YX2S912H7T.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1435-5663","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2136962627","display_name":null,"funder_award_id":"862017","funder_id":"https://openalex.org/F4320338453","funder_display_name":"HORIZON EUROPE European Research Council"},{"id":"https://openalex.org/G6040228388","display_name":"Application of Functionally Graded Materials to Extra-Large Structures","funder_award_id":"862017","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null},{"id":"https://openalex.org/F4320338453","display_name":"HORIZON EUROPE European Research Council","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392186867.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W986916555","https://openalex.org/W1836834528","https://openalex.org/W1977282511","https://openalex.org/W1979168015","https://openalex.org/W1985499370","https://openalex.org/W2011482492","https://openalex.org/W2025329066","https://openalex.org/W2032832285","https://openalex.org/W2037162522","https://openalex.org/W2046070586","https://openalex.org/W2053826298","https://openalex.org/W2057091215","https://openalex.org/W2066652988","https://openalex.org/W2068260260","https://openalex.org/W2090783970","https://openalex.org/W2120191698","https://openalex.org/W2125120430","https://openalex.org/W2126092109","https://openalex.org/W2137726847","https://openalex.org/W2149192791","https://openalex.org/W2166564986","https://openalex.org/W2220999736","https://openalex.org/W2436678748","https://openalex.org/W2468132327","https://openalex.org/W2589117701","https://openalex.org/W2763736381","https://openalex.org/W2793016321","https://openalex.org/W2810699304","https://openalex.org/W2888255051","https://openalex.org/W2898367500","https://openalex.org/W2991861319","https://openalex.org/W3008176448","https://openalex.org/W3037858521","https://openalex.org/W3105070525","https://openalex.org/W3107055024","https://openalex.org/W3134775088","https://openalex.org/W3197434446","https://openalex.org/W4200528355","https://openalex.org/W4294930476","https://openalex.org/W4304086860"],"related_works":["https://openalex.org/W2036576048","https://openalex.org/W2392085221","https://openalex.org/W1974803732","https://openalex.org/W3019747555","https://openalex.org/W2173298749","https://openalex.org/W2015530382","https://openalex.org/W2146674345","https://openalex.org/W2186293978","https://openalex.org/W3217122477","https://openalex.org/W2907206257"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}