{"id":"https://openalex.org/W4388092897","doi":"https://doi.org/10.48550/arxiv.2310.18808","title":"The nonlinear elastic response of bicontinuous rubber blends","display_name":"The nonlinear elastic response of bicontinuous rubber blends","publication_year":2023,"publication_date":"2023-10-28","ids":{"openalex":"https://openalex.org/W4388092897","doi":"https://doi.org/10.48550/arxiv.2310.18808"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2310.18808","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.18808","pdf_url":"https://arxiv.org/pdf/2310.18808","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2310.18808","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015687299","display_name":"Fabio Sozio","orcid":"https://orcid.org/0000-0003-4287-2686","observed_orcids":["https://orcid.org/0000-0003-4287-2686"]},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4210098702","display_name":"Laboratoire M\u00e9canique des Solides","ror":"https://ror.org/00xd1ek73","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210098702","https://openalex.org/I4210145102","https://openalex.org/I4405258625"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Sozio, Fabio","raw_affiliation_strings":["Department of Civil and Environmental Engineering , University of Illinois , Urbana-Champaign , IL 61801 , USA","Solid Mechanics Laboratory , \u00c9cole Polytechnique , 91128 Palaiseau , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering , University of Illinois , Urbana-Champaign , IL 61801 , USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Solid Mechanics Laboratory , \u00c9cole Polytechnique , 91128 Palaiseau , France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210098702"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085096788","display_name":"F. Lallet","orcid":"https://orcid.org/0000-0002-0280-8594","observed_orcids":["https://orcid.org/0000-0002-0280-8594"]},"institutions":[{"id":"https://openalex.org/I4210088980","display_name":"Michelin (France)","ror":"https://ror.org/006s85q77","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210088980"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lallet, Francois","raw_affiliation_strings":["Manufacture Fran\u00e7aise de Pneumatiques Michelin , 63040 Clermont Ferrand , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manufacture Fran\u00e7aise de Pneumatiques Michelin , 63040 Clermont Ferrand , France","institution_ids":["https://openalex.org/I4210088980"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009979695","display_name":"Antoine Perriot","orcid":"https://orcid.org/0000-0002-7026-7793","observed_orcids":["https://orcid.org/0000-0002-7026-7793"]},"institutions":[{"id":"https://openalex.org/I4210088980","display_name":"Michelin (France)","ror":"https://ror.org/006s85q77","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210088980"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Perriot, Antoine","raw_affiliation_strings":["Manufacture Fran\u00e7aise de Pneumatiques Michelin , 63040 Clermont Ferrand , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manufacture Fran\u00e7aise de Pneumatiques Michelin , 63040 Clermont Ferrand , France","institution_ids":["https://openalex.org/I4210088980"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056890577","display_name":"Oscar Lopez\u2010Pamies","orcid":"https://orcid.org/0000-0003-1661-5598","observed_orcids":["https://orcid.org/0000-0003-1661-5598"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lopez-Pamies, Oscar","raw_affiliation_strings":["Department of Civil and Environmental Engineering , University of Illinois , Urbana-Champaign , IL 61801 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering , University of Illinois , Urbana-Champaign , IL 61801 , USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.8687000274658203,"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"}},"topics":[{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.8687000274658203,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.05869999900460243,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.02239999920129776,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-elasticity","display_name":"nonlinear elasticity","score":0.8320000171661377},{"id":"https://openalex.org/keywords/periodic-homogenization","display_name":"periodic homogenization","score":0.8849999904632568},{"id":"https://openalex.org/keywords/gaussian-random-fields","display_name":"Gaussian random fields","score":0.7590000033378601},{"id":"https://openalex.org/keywords/neo-hookean-elasticity","display_name":"neo-Hookean elasticity","score":0.8849999904632568},{"id":"https://openalex.org/keywords/immiscible-polymer-blends","display_name":"immiscible polymer blends","score":0.6660000085830688}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9086593389511108},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7541936635971069},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.7535923719406128},{"id":"https://openalex.org/C176933379","wikidata":"https://www.wikidata.org/wiki/Q131877","display_name":"Natural rubber","level":2,"score":0.6610108017921448},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6324551105499268},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.6235687136650085},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.5949852466583252},{"id":"https://openalex.org/C110004913","wikidata":"https://www.wikidata.org/wiki/Q904453","display_name":"Rubber elasticity","level":3,"score":0.4783579707145691},{"id":"https://openalex.org/C65590680","wikidata":"https://www.wikidata.org/wiki/Q909482","display_name":"Volume fraction","level":2,"score":0.46181997656822205},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.4612210690975189},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1648465096950531},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2310.18808","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.18808","pdf_url":"https://arxiv.org/pdf/2310.18808","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2310.18808","doi":"https://doi.org/10.48550/arxiv.2310.18808","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2310.18808","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2310.18808","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.18808","pdf_url":"https://arxiv.org/pdf/2310.18808","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388092897.pdf","grobid_xml":"https://content.openalex.org/works/W4388092897.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4284880400","https://openalex.org/W7117480930","https://openalex.org/W3215217994","https://openalex.org/W4310072425","https://openalex.org/W3174629008","https://openalex.org/W2600097522","https://openalex.org/W1987415627","https://openalex.org/W2161358470","https://openalex.org/W2729595335","https://openalex.org/W4310073400"],"abstract_inverted_index":{"Rubber":[0],"blends":[1,13,64,95,114,160,241],"are":[2,19,85,97,115,128,161,203,213],"ubiquitous":[3],"in":[4],"countless":[5],"technological":[6],"applications.":[7],"More":[8],"often":[9],"than":[10],"not,":[11],"rubber":[12,60,211],"exhibit":[14,220],"complex":[15],"interpenetrating":[16,75],"microstructures,":[17],"which":[18,145],"thought":[20],"to":[21,36,88,131,136,188,245],"have":[22],"a":[23,33,44,171,182,196],"significant":[24],"impact":[25],"on":[26,94],"their":[27],"resulting":[28],"macroscopic":[29,155],"mechanical":[30],"properties.":[31],"As":[32],"first":[34],"step":[35],"understand":[37],"this":[38,41],"potential":[39],"impact,":[40],"paper":[42],"presents":[43],"bottom-up":[45],"or":[46,70,154],"homogenization":[47,147],"study":[48],"of":[49,54,58,66,77,107,112,123,141,158,181,199,225,229,239,249],"the":[50,55,139,200,206,226,230,232,236,240,246,250],"nonlinear":[51,172],"elastic":[52,156,227],"response":[53,157,238],"prominent":[56],"class":[57],"bicontinuous":[59],"blends,":[61],"that":[62,84,96,100,127,186,235],"is,":[63],"made":[65],"two":[67,78],"immiscible":[68],"constituents":[69],"phases":[71,212],"segregated":[72],"into":[73],"an":[74,102],"network":[76],"separate":[79],"but":[80],"fully":[81],"continuous":[82],"domains":[83],"perfectly":[86],"bonded":[87],"one":[89],"another.":[90],"The":[91,110,152,176],"focus":[92],"is":[93,242],"isotropic":[98],"and":[99,168,190],"contain":[101],"equal":[103],"volume":[104],"fraction":[105],"(50/50)":[106],"each":[108],"phase.":[109],"microstructures":[111,118],"these":[113],"idealized":[116],"as":[117,135,215,217],"generated":[119],"by":[120],"level":[121],"cuts":[122],"Gaussian":[124],"random":[125],"fields":[126],"suitably":[129],"constrained":[130],"be":[132,149],"periodic":[133,146,191],"so":[134],"allow":[137],"for":[138,205],"construction":[140],"unit":[142],"cells":[143],"over":[144],"can":[148],"carried":[150],"out.":[151],"homogenized":[153,237],"such":[159],"determined":[162],"both":[163,210],"numerically":[164],"via":[165,170],"finite":[166],"elements":[167],"analytically":[169],"comparison":[173],"medium":[174],"method.":[175],"numerical":[177],"approach":[178],"makes":[179],"use":[180],"novel":[183],"meshing":[184],"scheme":[185],"leads":[187],"conforming":[189],"simplicial":[192],"meshes":[193],"starting":[194],"from":[195],"voxelized":[197],"representation":[198],"microstructures.":[201],"Results":[202],"presented":[204],"fundamental":[207],"case":[208],"when":[209,218],"Neo-Hookean,":[214],"well":[216],"they":[219],"non-Gaussian":[221],"elasticity.":[222],"Remarkably,":[223],"irrespective":[224],"behavior":[228],"phases,":[231],"results":[233],"show":[234],"largely":[243],"insensitive":[244],"specific":[247],"morphologies":[248],"phases.":[251]},"counts_by_year":[],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2023-11-01T00:00:00"}
