{"id":"https://openalex.org/W4414907419","doi":"https://doi.org/10.1115/imece1995-0115","title":"Further Investigations on a Constitutive Model for Soft Tissues","display_name":"Further Investigations on a Constitutive Model for Soft Tissues","publication_year":1995,"publication_date":"1995-11-12","ids":{"openalex":"https://openalex.org/W4414907419","doi":"https://doi.org/10.1115/imece1995-0115"},"language":"en","primary_location":{"id":"doi:10.1115/imece1995-0115","doi":"https://doi.org/10.1115/imece1995-0115","is_oa":false,"landing_page_url":"https://doi.org/10.1115/imece1995-0115","pdf_url":null,"source":{"id":"https://openalex.org/S4363606942","display_name":"ASME International Mechanical Engineering Congress and Exposition (IMECE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Bioengineering","raw_type":"proceedings-article"},"volume":null,"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/A5081354580","display_name":"Ted A. Conway","orcid":"https://orcid.org/0000-0001-9055-3853","observed_orcids":["https://orcid.org/0000-0001-9055-3853"]},"institutions":[{"id":"https://openalex.org/I110152177","display_name":"University of Akron","ror":"https://ror.org/02kyckx55","country_code":"US","type":"education","lineage":["https://openalex.org/I110152177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ted A. Conway","raw_affiliation_strings":["University of Akron"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Akron","institution_ids":["https://openalex.org/I110152177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040218760","display_name":"Nicolae Mazilu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I110152177","display_name":"University of Akron","ror":"https://ror.org/02kyckx55","country_code":"US","type":"education","lineage":["https://openalex.org/I110152177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicolae Mazilu","raw_affiliation_strings":["University of Akron"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Akron","institution_ids":["https://openalex.org/I110152177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005002991","display_name":"Jafar Vossoughi","orcid":"https://orcid.org/0000-0001-6369-962X","observed_orcids":["https://orcid.org/0000-0001-6369-962X"]},"institutions":[{"id":"https://openalex.org/I174612323","display_name":"University of the District of Columbia","ror":"https://ror.org/037wegn60","country_code":"US","type":"education","lineage":["https://openalex.org/I174612323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jafar Vossoughi","raw_affiliation_strings":["University of the District of Columbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of the District of Columbia","institution_ids":["https://openalex.org/I174612323"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.62015945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"99","last_page":"100"},"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/T10868","display_name":"Soft Robotics and Applications","score":0.0,"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/T10700","display_name":"Metal Forming Simulation Techniques","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/soft-tissue-mechanics","display_name":"soft tissue mechanics","score":0.6930000185966492},{"id":"https://openalex.org/keywords/constitutive-model","display_name":"constitutive equations","score":0.9399999976158142},{"id":"https://openalex.org/keywords/strain-invariants","display_name":"strain invariants","score":0.699999988079071},{"id":"https://openalex.org/keywords/stress-invariants","display_name":"stress invariants","score":0.9850000143051147},{"id":"https://openalex.org/keywords/mobius-transformations","display_name":"M\u00f6bius transformations","score":0.7310000061988831},{"id":"https://openalex.org/keywords/stress-strain-behavior","display_name":"stress-strain behavior","score":0.7609999775886536},{"id":"https://openalex.org/keywords/hyperelasticity","display_name":"hyperelasticity","score":0.5659999847412109}],"concepts":[{"id":"https://openalex.org/C72746482","wikidata":"https://www.wikidata.org/wiki/Q5054339","display_name":"Cauchy elastic material","level":4,"score":0.6345999836921692},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.631600022315979},{"id":"https://openalex.org/C85523063","wikidata":"https://www.wikidata.org/wiki/Q935731","display_name":"Infinitesimal strain theory","level":3,"score":0.6047000288963318},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.551800012588501},{"id":"https://openalex.org/C171338203","wikidata":"https://www.wikidata.org/wiki/Q13409892","display_name":"Cauchy stress tensor","level":2,"score":0.5365999937057495},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.5351999998092651},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4997999966144562},{"id":"https://openalex.org/C2778022156","wikidata":"https://www.wikidata.org/wiki/Q576145","display_name":"Strain (injury)","level":2,"score":0.4754999876022339},{"id":"https://openalex.org/C518456604","wikidata":"https://www.wikidata.org/wiki/Q899599","display_name":"Stress\u2013strain curve","level":3,"score":0.46299999952316284},{"id":"https://openalex.org/C74691360","wikidata":"https://www.wikidata.org/wiki/Q7621125","display_name":"Strain rate tensor","level":3,"score":0.4562000036239624},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.44190001487731934},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.40549999475479126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40470001101493835},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.3970000147819519},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.3711000084877014},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.33799999952316284},{"id":"https://openalex.org/C29320194","wikidata":"https://www.wikidata.org/wiki/Q7201019","display_name":"Plane stress","level":3,"score":0.3377000093460083},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3287999927997589},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.31839999556541443},{"id":"https://openalex.org/C84910104","wikidata":"https://www.wikidata.org/wiki/Q6586992","display_name":"Levy\u2013Mises equations","level":4,"score":0.3111000061035156},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3012000024318695},{"id":"https://openalex.org/C183741602","wikidata":"https://www.wikidata.org/wiki/Q170282","display_name":"Hooke's law","level":2,"score":0.27469998598098755},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2676999866962433},{"id":"https://openalex.org/C163892269","wikidata":"https://www.wikidata.org/wiki/Q15300737","display_name":"Finite strain theory","level":3,"score":0.2612000107765198},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2535000145435333}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/imece1995-0115","doi":"https://doi.org/10.1115/imece1995-0115","is_oa":false,"landing_page_url":"https://doi.org/10.1115/imece1995-0115","pdf_url":null,"source":{"id":"https://openalex.org/S4363606942","display_name":"ASME International Mechanical Engineering Congress and Exposition (IMECE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Bioengineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2789557997","https://openalex.org/W1994808170","https://openalex.org/W2730638374","https://openalex.org/W1951639326","https://openalex.org/W2617427036","https://openalex.org/W2920601160","https://openalex.org/W4301400949","https://openalex.org/W2748183173","https://openalex.org/W4242605895","https://openalex.org/W1993521419"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2],"generally":[3],"known":[4],"that":[5],"stresses":[6],"and":[7,29,44,54,57,90,98,100,104],"strains":[8],"at":[9],"a":[10,15,73,82],"point":[11],"are":[12,46,59,92,106],"represented":[13,77],"in":[14,78],"tensor":[16,53],"form":[17,27,39,80],"with":[18],"the":[19,26,30,38,47,51,60,65,69,79,93],"characteristic":[20,32],"cubic":[21,33],"equation":[22,34],"for":[23,35],"strain":[24,52],"having":[25,37],"(1)\u03b53\u2212I1\u03b52+I2\u03b5-I3=0":[28],"corresponding":[31,61],"stress":[36,66],"(2)\u03c33-J1\u03c32+J2\u03c3-J3=0":[40],"where":[41,88],"I1,":[42],"I2":[43],"I3":[45],"invariants":[48,62],"related":[49,63],"to":[50,64],"J1,":[55],"J2":[56],"J3":[58],"tensor.":[67],"In":[68],"most":[70],"general":[71],"case,":[72],"relationship":[74],"can":[75],"be":[76],"of":[81,95],"homographical":[83],"transformation":[84],"[3],":[85],"namely":[86],"(3)\u03c3k=\u03b1\u03b5k+\u03b2\u03b3\u03b5k+\u03b4,k=1,2,3":[87],"\u03b5k":[89],"\u03c3k":[91],"roots":[94],"Eqs.":[96],"(1)":[97],"(2)":[99],"\u03b1,":[101],"\u03b2,":[102],"\u03b3":[103],"\u03b4":[105],"real":[107],"constants.":[108]},"counts_by_year":[],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2025-10-10T00:00:00"}