{"id":"https://openalex.org/W2054622866","doi":"https://doi.org/10.1137/100795619","title":"Nematic Elastomers: Gamma-Limits for Large Bodies and Small Particles","display_name":"Nematic Elastomers: Gamma-Limits for Large Bodies and Small Particles","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2054622866","doi":"https://doi.org/10.1137/100795619","mag":"2054622866"},"language":"en","primary_location":{"id":"doi:10.1137/100795619","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100795619","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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/A5049443053","display_name":"Pierluigi Cesana","orcid":"https://orcid.org/0000-0002-0304-9382"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]},{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES","IT","US"],"is_corresponding":true,"raw_author_name":"Pierluigi Cesana","raw_affiliation_strings":["Basque Center for Applied Mathematics","International School for Advanced Studies","California Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Basque Center for Applied Mathematics","institution_ids":["https://openalex.org/I2802176441"]},{"raw_affiliation_string":"International School for Advanced Studies","institution_ids":["https://openalex.org/I138549579"]},{"raw_affiliation_string":"California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049443053"],"corresponding_institution_ids":["https://openalex.org/I122411786","https://openalex.org/I138549579","https://openalex.org/I2802176441"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16799735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"43","issue":"5","first_page":"2354","last_page":"2383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":1.0,"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"}},{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/liquid-crystal","display_name":"Liquid crystal","score":0.7901469469070435},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6387331485748291},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5594477653503418},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4821774363517761},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.45899465680122375},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4542350172996521},{"id":"https://openalex.org/keywords/elastomer","display_name":"Elastomer","score":0.43886175751686096},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4382725954055786},{"id":"https://openalex.org/keywords/thermodynamic-limit","display_name":"Thermodynamic limit","score":0.4365043044090271},{"id":"https://openalex.org/keywords/biaxial-nematic","display_name":"Biaxial nematic","score":0.4166654348373413},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4018881320953369},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38865745067596436},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.2688100337982178},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.24415704607963562},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.22790232300758362},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.164897620677948},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10026878118515015}],"concepts":[{"id":"https://openalex.org/C13274807","wikidata":"https://www.wikidata.org/wiki/Q203989","display_name":"Liquid crystal","level":2,"score":0.7901469469070435},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6387331485748291},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5594477653503418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4821774363517761},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.45899465680122375},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4542350172996521},{"id":"https://openalex.org/C38052585","wikidata":"https://www.wikidata.org/wiki/Q252266","display_name":"Elastomer","level":2,"score":0.43886175751686096},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4382725954055786},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.4365043044090271},{"id":"https://openalex.org/C24916182","wikidata":"https://www.wikidata.org/wiki/Q4902686","display_name":"Biaxial nematic","level":3,"score":0.4166654348373413},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4018881320953369},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38865745067596436},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2688100337982178},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.24415704607963562},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.22790232300758362},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.164897620677948},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10026878118515015},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/100795619","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100795619","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:dnet:bird________::4a13d82646c3075a61cec04f00ebc077","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11824/597","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:authors.library.caltech.edu:27987","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/27987/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W91092062","https://openalex.org/W1553702074","https://openalex.org/W1559747433","https://openalex.org/W1598074861","https://openalex.org/W1600845614","https://openalex.org/W1976766327","https://openalex.org/W1977302783","https://openalex.org/W1979443080","https://openalex.org/W1997229544","https://openalex.org/W2014975887","https://openalex.org/W2016259687","https://openalex.org/W2035789336","https://openalex.org/W2039925534","https://openalex.org/W2066196783","https://openalex.org/W2070811036","https://openalex.org/W2075223203","https://openalex.org/W2076027344","https://openalex.org/W2087584322","https://openalex.org/W2088216383","https://openalex.org/W2105361349","https://openalex.org/W2163570307","https://openalex.org/W2163659052","https://openalex.org/W2504943536","https://openalex.org/W2737756950","https://openalex.org/W2767905780","https://openalex.org/W3104956129"],"related_works":["https://openalex.org/W2080552354","https://openalex.org/W2087193104","https://openalex.org/W1970740625","https://openalex.org/W2623047317","https://openalex.org/W4241422957","https://openalex.org/W2002430743","https://openalex.org/W2080011607","https://openalex.org/W2048496058","https://openalex.org/W1989512865","https://openalex.org/W2074360744"],"abstract_inverted_index":{"We":[0,16],"compute":[1],"the":[2,5,19,34,41,45,51,70,78,85,103,108,111,115],"large-body":[3,35],"and":[4,26,30,100],"small-particle":[6],"Gamma-limit":[7,109],"of":[8,11,21,44,53,69,77,87,94,105,107,114],"a":[9,63,75],"family":[10],"energies":[12],"for":[13],"nematic":[14,66],"elastomers.":[15],"work":[17],"under":[18],"assumption":[20],"small":[22,88],"deformations":[23],"(linearized":[24],"kinematics)":[25],"consider":[27],"both":[28],"compressible":[29],"incompressible":[31],"materials.":[32],"In":[33,84],"asymptotics,":[36],"even":[37],"if":[38],"we":[39,58,61,90,101],"describe":[40,102],"local":[42],"orientation":[43],"liquid":[46],"crystal":[47],"molecules":[48],"according":[49],"to":[50,82],"model":[52],"perfect":[54],"order":[55],"(Frank":[56],"theory),":[57],"prove":[59],"that":[60,92],"obtain":[62],"fully":[64],"biaxial":[65],"texture":[67],"(that":[68],"de":[71],"Gennes":[72],"theory)":[73],"as":[74,110],"by-product":[76],"relaxation":[79],"phenomenon":[80],"connected":[81],"Gamma-convergence.":[83],"case":[86],"particles,":[89],"show":[91],"formation":[93],"new":[95],"microstructure":[96],"is":[97],"not":[98],"possible,":[99],"map":[104],"minimizers":[106],"phase":[112],"diagram":[113],"mechanical":[116],"model.":[117]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
