{"id":"https://openalex.org/W2957722135","doi":"https://doi.org/10.1145/3306346.3323014","title":"Anisotropic elasticity for inversion-safety and element rehabilitation","display_name":"Anisotropic elasticity for inversion-safety and element rehabilitation","publication_year":2019,"publication_date":"2019-07-12","ids":{"openalex":"https://openalex.org/W2957722135","doi":"https://doi.org/10.1145/3306346.3323014","mag":"2957722135"},"language":"en","primary_location":{"id":"doi:10.1145/3306346.3323014","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3306346.3323014","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3306346.3323014","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":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3306346.3323014","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025069371","display_name":"Theodore Kim","orcid":"https://orcid.org/0000-0002-1131-8685"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Theodore Kim","raw_affiliation_strings":["Pixar Animation Studios"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pixar Animation Studios","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011791524","display_name":"Fernando de Goes","orcid":"https://orcid.org/0009-0007-7331-0674"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fernando De Goes","raw_affiliation_strings":["Pixar Animation Studios"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pixar Animation Studios","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073188222","display_name":"Hayley N. Iben","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hayley Iben","raw_affiliation_strings":["Pixar Animation Studios"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pixar Animation Studios","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9358,"has_fulltext":true,"cited_by_count":39,"citation_normalized_percentile":{"value":0.85226621,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"38","issue":"4","first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11366","display_name":"Elasticity and Material Modeling","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10707","display_name":"Cellular and Composite Structures","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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":0.9921000003814697,"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/isotropy","display_name":"Isotropy","score":0.7960680723190308},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6824338436126709},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.6704353094100952},{"id":"https://openalex.org/keywords/hyperelastic-material","display_name":"Hyperelastic material","score":0.601441502571106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5327311754226685},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.5187087655067444},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5007991790771484},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4540891647338867},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4531455636024475},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36033958196640015},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3574599623680115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3539614677429199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2642224133014679},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10114160180091858}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.7960680723190308},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6824338436126709},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.6704353094100952},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.601441502571106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5327311754226685},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.5187087655067444},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5007991790771484},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4540891647338867},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4531455636024475},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36033958196640015},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3574599623680115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3539614677429199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2642224133014679},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10114160180091858},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3306346.3323014","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3306346.3323014","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3306346.3323014","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":{"id":"doi:10.1145/3306346.3323014","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3306346.3323014","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3306346.3323014","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"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2957722135.pdf","grobid_xml":"https://content.openalex.org/works/W2957722135.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W112937510","https://openalex.org/W385750518","https://openalex.org/W1500831274","https://openalex.org/W1568806545","https://openalex.org/W1589288858","https://openalex.org/W1868447823","https://openalex.org/W1980757084","https://openalex.org/W1992055379","https://openalex.org/W1996921692","https://openalex.org/W2003584832","https://openalex.org/W2005092540","https://openalex.org/W2009657173","https://openalex.org/W2024243735","https://openalex.org/W2028565798","https://openalex.org/W2028854397","https://openalex.org/W2031241903","https://openalex.org/W2044148298","https://openalex.org/W2053128021","https://openalex.org/W2056811663","https://openalex.org/W2063844760","https://openalex.org/W2070697213","https://openalex.org/W2074433215","https://openalex.org/W2075605912","https://openalex.org/W2083375791","https://openalex.org/W2087366393","https://openalex.org/W2092250341","https://openalex.org/W2092929058","https://openalex.org/W2098587600","https://openalex.org/W2103912765","https://openalex.org/W2117267798","https://openalex.org/W2121542165","https://openalex.org/W2133497849","https://openalex.org/W2143345877","https://openalex.org/W2150679149","https://openalex.org/W2150874139","https://openalex.org/W2151636374","https://openalex.org/W2155496322","https://openalex.org/W2161759480","https://openalex.org/W2167002667","https://openalex.org/W2169363295","https://openalex.org/W2235036220","https://openalex.org/W2411882473","https://openalex.org/W2473765233","https://openalex.org/W2484009759","https://openalex.org/W2539205866","https://openalex.org/W2544527082","https://openalex.org/W2550905413","https://openalex.org/W2736825786","https://openalex.org/W2737067326","https://openalex.org/W2791693147","https://openalex.org/W2798909945","https://openalex.org/W2809944305","https://openalex.org/W2810393904","https://openalex.org/W2810695372","https://openalex.org/W2887679282","https://openalex.org/W2903195470","https://openalex.org/W2915668163","https://openalex.org/W3003409178","https://openalex.org/W3138143451","https://openalex.org/W4230706766","https://openalex.org/W4249613257","https://openalex.org/W4250454039","https://openalex.org/W4255193216"],"related_works":["https://openalex.org/W4318070857","https://openalex.org/W4289888891","https://openalex.org/W2353996222","https://openalex.org/W2054885914","https://openalex.org/W3113091479","https://openalex.org/W941090075","https://openalex.org/W2162899405","https://openalex.org/W2004711606","https://openalex.org/W2004715671","https://openalex.org/W2128006723"],"abstract_inverted_index":{"We":[0,21,32,58,122,136],"present":[1],"an":[2],"analysis":[3,35,99],"of":[4,17,70,143],"anisotropic":[5,45,63,134],"hyperelasticity,":[6],"specifically":[7],"transverse":[8],"isotropy,":[9],"that":[10,43,66],"obtains":[11],"closed-form":[12,86],"expressions":[13,87],"for":[14,90],"the":[15,68,127],"eigendecompositions":[16],"many":[18],"common":[19],"energies.":[20],"then":[22,59],"use":[23,97],"these":[24],"to":[25,100],"build":[26],"fast":[27],"and":[28,50,74],"concise":[29],"Newton":[30],"implementations.":[31],"leverage":[33],"our":[34,83,98,138],"in":[36],"two":[37],"separate":[38],"applications.":[39],"First,":[40],"we":[41,96,108],"show":[42],"existing":[44],"energies":[46],"are":[47,88],"not":[48],"inversion-safe,":[49],"contain":[51],"spurious":[52],"stable":[53],"states":[54],"under":[55],"large":[56,112],"deformation.":[57],"propose":[60],"a":[61,71,116,132,141],"new":[62,78],"strain":[64],"invariant":[65],"enables":[67],"formulation":[69],"novel,":[72],"robust,":[73],"inversion-safe":[75],"energy.":[76],"The":[77],"energy":[79],"fits":[80],"completely":[81],"within":[82],"analysis,":[84],"so":[85],"obtained":[89],"its":[91],"eigensystem":[92],"as":[93],"well.":[94],"Secondly,":[95],"rehabilitate":[101],"badly-conditioned":[102],"finite":[103],"elements.":[104,121],"Using":[105],"this":[106,124],"method,":[107],"can":[109],"robustly":[110],"simulate":[111],"deformations":[113],"even":[114],"when":[115],"mesh":[117],"contains":[118],"degenerate,":[119],"zero-volume":[120],"accomplish":[123],"by":[125],"swapping":[126],"badly-behaved":[128],"isotropic":[129],"direction":[130],"with":[131],"well-behaved":[133],"term.":[135],"validate":[137],"approach":[139],"on":[140],"variety":[142],"examples.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":11}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
