{"id":"https://openalex.org/W2738624871","doi":"https://doi.org/10.1145/3072959.3073649","title":"Worst-case stress relief for microstructures","display_name":"Worst-case stress relief for microstructures","publication_year":2017,"publication_date":"2017-07-20","ids":{"openalex":"https://openalex.org/W2738624871","doi":"https://doi.org/10.1145/3072959.3073649","mag":"2738624871"},"language":"en","primary_location":{"id":"doi:10.1145/3072959.3073649","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3072959.3073649","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","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/A5070958685","display_name":"Julian Panetta","orcid":"https://orcid.org/0000-0002-8331-2354"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julian Panetta","raw_affiliation_strings":["New York University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043316497","display_name":"Abtin Rahimian","orcid":"https://orcid.org/0000-0003-1504-2695"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abtin Rahimian","raw_affiliation_strings":["New York University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061986862","display_name":"Denis Zorin","orcid":"https://orcid.org/0000-0001-7733-5501"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Denis Zorin","raw_affiliation_strings":["New York University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":null,"apc_paid":null,"fwci":3.1122,"has_fulltext":false,"cited_by_count":71,"citation_normalized_percentile":{"value":0.92014107,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"36","issue":"4","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10783","display_name":"Additive Manufacturing and 3D Printing Technologies","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10783","display_name":"Additive Manufacturing and 3D Printing Technologies","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11558","display_name":"Composite Material Mechanics","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5784060955047607},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5744211077690125},{"id":"https://openalex.org/keywords/stress","display_name":"Stress (linguistics)","score":0.5563520193099976},{"id":"https://openalex.org/keywords/microstructure","display_name":"Microstructure","score":0.5054938793182373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4660924971103668},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4654596149921417},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4410468339920044},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4162128269672394},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34292280673980713},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3229627013206482},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.23714935779571533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20778006315231323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18962714076042175},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09229382872581482}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5784060955047607},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5744211077690125},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.5563520193099976},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.5054938793182373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4660924971103668},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4654596149921417},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4410468339920044},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4162128269672394},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34292280673980713},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3229627013206482},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.23714935779571533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20778006315231323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18962714076042175},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09229382872581482},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3072959.3073649","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3072959.3073649","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/9"}],"awards":[{"id":"https://openalex.org/G8921686928","display_name":null,"funder_award_id":"DMREF-1436591","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W194204774","https://openalex.org/W613838126","https://openalex.org/W1553150814","https://openalex.org/W1573454917","https://openalex.org/W1575923498","https://openalex.org/W1641896143","https://openalex.org/W1981948516","https://openalex.org/W1982739078","https://openalex.org/W1983019655","https://openalex.org/W1983125526","https://openalex.org/W1983512267","https://openalex.org/W1992388930","https://openalex.org/W2006461528","https://openalex.org/W2009473947","https://openalex.org/W2013864488","https://openalex.org/W2014266631","https://openalex.org/W2030109435","https://openalex.org/W2038373439","https://openalex.org/W2038883910","https://openalex.org/W2043270506","https://openalex.org/W2052590126","https://openalex.org/W2069041228","https://openalex.org/W2071565673","https://openalex.org/W2074176021","https://openalex.org/W2075793174","https://openalex.org/W2077907806","https://openalex.org/W2082254676","https://openalex.org/W2082582250","https://openalex.org/W2082772288","https://openalex.org/W2082909585","https://openalex.org/W2088298833","https://openalex.org/W2092801729","https://openalex.org/W2093316102","https://openalex.org/W2097332464","https://openalex.org/W2104661581","https://openalex.org/W2105213269","https://openalex.org/W2106248292","https://openalex.org/W2109838548","https://openalex.org/W2113042424","https://openalex.org/W2116533649","https://openalex.org/W2125890302","https://openalex.org/W2160527059","https://openalex.org/W2170066676","https://openalex.org/W2244686166","https://openalex.org/W2399594021","https://openalex.org/W2462407094","https://openalex.org/W2493410034","https://openalex.org/W2504619654","https://openalex.org/W2520096069","https://openalex.org/W2524772227","https://openalex.org/W2544917569","https://openalex.org/W2554319423","https://openalex.org/W2579137414","https://openalex.org/W2581677986","https://openalex.org/W4214706872","https://openalex.org/W4241614188","https://openalex.org/W4249480917"],"related_works":["https://openalex.org/W2058940780","https://openalex.org/W2006251942","https://openalex.org/W2090404944","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W2046332915","https://openalex.org/W2354424856","https://openalex.org/W2375093060","https://openalex.org/W1864774435","https://openalex.org/W2605776044"],"abstract_inverted_index":{"Additive":[0],"fabrication":[1],"technologies":[2,15],"are":[3,16,104],"limited":[4],"by":[5,55,121,181,221],"the":[6,14,36,39,47,51,66,129,157,209,214,222],"types":[7],"of":[8,26,42,49,113,156,177,194,207,216,224],"material":[9,53,91,218],"they":[10],"can":[11,28,60],"print:":[12],"while":[13],"continuously":[17],"improving,":[18],"still":[19],"only":[20],"a":[21,81,111,135,152,165,204],"relatively":[22],"small":[23],"discrete":[24],"set":[25,112],"materials":[27],"be":[29],"used":[30],"in":[31,76,119],"each":[32],"printed":[33],"object.":[34],"At":[35],"same":[37],"time,":[38],"low":[40],"cost":[41],"introducing":[43],"geometric":[44],"complexity":[45],"suggests":[46],"alternative":[48],"controlling":[50],"elastic":[52],"properties":[54,219],"producing":[56],"microstructures":[57,120],",":[58],"which":[59],"achieve":[61],"behaviors":[62],"significantly":[63,200],"differing":[64],"from":[65],"solid":[67],"printing":[68],"material.":[69],"While":[70],"promising":[71],"results":[72],"have":[73],"been":[74],"obtained":[75],"this":[77],"direction,":[78],"fragility":[79],"is":[80],"significant":[82],"problem":[83,133],"blocking":[84],"practical":[85],"applications,":[86],"especially":[87],"for":[88,147,160,170],"achieving":[89],"soft":[90],"properties:":[92],"due":[93],"to":[94,106,115,199],"stress":[95,117,131,136,161,179],"concentrations":[96,118],"at":[97],"thin":[98],"joints,":[99],"deformations":[100],"and":[101,163,190],"repeated":[102],"loadings":[103],"likely":[105],"cause":[107],"fracture.":[108],"We":[109,150],"present":[110],"methods":[114],"minimize":[116],"evolving":[122],"their":[123],"shapes.":[124],"First,":[125],"we":[126],"demonstrate":[127],"that":[128],"worst-case":[130],"analysis":[132],"(maximizing":[134],"measure":[137],"over":[138],"all":[139],"possible":[140],"unit":[141],"loads)":[142],"has":[143],"an":[144,182,191],"exact":[145],"solution":[146],"periodic":[148],"microstructures.":[149,171],"develop":[151],"new,":[153],"accurate":[154],"discretization":[155],"shape":[158,168],"derivative":[159],"objectives":[162],"introduce":[164],"low-dimensional":[166],"parametric":[167],"model":[169,173],"This":[172],"supports":[174],"robust":[175],"minimization":[176],"maximal":[178],"(approximated":[180],"L":[183],"p":[184,188],"norm":[185],"with":[186],"high":[187],")":[189],"efficient":[192],"implementation":[193],"printability":[195],"constraints.":[196],"In":[197],"addition":[198],"reducing":[201],"stresses":[202],"(by":[203],"typical":[205],"factor":[206],"5X),":[208],"new":[210],"method":[211],"substantially":[212],"expands":[213],"range":[215],"effective":[217],"covered":[220],"collection":[223],"structures.":[225]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}