{"id":"https://openalex.org/W2156066177","doi":"https://doi.org/10.3233/asy-2011-1057","title":"A simplified model for elastic thin shells","display_name":"A simplified model for elastic thin shells","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2156066177","doi":"https://doi.org/10.3233/asy-2011-1057","mag":"2156066177"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2011-1057","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1057","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic 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/A5111645773","display_name":"Dominique Blanchard","orcid":null},"institutions":[{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Dominique Blanchard","raw_affiliation_strings":["Universit\u00e9 de Rouen, UMR 6085, 76801 Saint Etienne du Rouvray Cedex, France. E-mails: dominique.blanchard@univ-rouen.fr, blanchar@ann.jussieu.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Rouen, UMR 6085, 76801 Saint Etienne du Rouvray Cedex, France. E-mails: dominique.blanchard@univ-rouen.fr, blanchar@ann.jussieu.fr","institution_ids":["https://openalex.org/I62396329"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049669767","display_name":"Georges Griso","orcid":"https://orcid.org/0000-0001-6819-353X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Georges Griso","raw_affiliation_strings":["Laboratoire J.-L. Lions\u2013CNRS, Bo\u00eete courrier 187, Universit\u00e9 Pierre et Marie Curie, 4 place Jussieu, 75005 Paris, France. E-mail: griso@ann.jussieu.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire J.-L. Lions\u2013CNRS, Bo\u00eete courrier 187, Universit\u00e9 Pierre et Marie Curie, 4 place Jussieu, 75005 Paris, France. E-mail: griso@ann.jussieu.fr","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111645773"],"corresponding_institution_ids":["https://openalex.org/I62396329"],"apc_list":null,"apc_paid":null,"fwci":0.6942,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73820112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"76","issue":"1","first_page":"1","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9988999962806702,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9972000122070312,"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/infimum-and-supremum","display_name":"Infimum and supremum","score":0.8661470413208008},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6701067090034485},{"id":"https://openalex.org/keywords/elastic-energy","display_name":"Elastic energy","score":0.6184771060943604},{"id":"https://openalex.org/keywords/shell","display_name":"Shell (structure)","score":0.5890666246414185},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5428081154823303},{"id":"https://openalex.org/keywords/energy-minimization","display_name":"Energy minimization","score":0.5280417203903198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5190475583076477},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4995431900024414},{"id":"https://openalex.org/keywords/nonlinear-model","display_name":"Nonlinear model","score":0.4843774735927582},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47537294030189514},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4481491148471832},{"id":"https://openalex.org/keywords/energy-functional","display_name":"Energy functional","score":0.4317290186882019},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4241170883178711},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33875739574432373},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3242218494415283},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24025094509124756},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20774301886558533},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.12043556571006775},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08376991748809814},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05766695737838745}],"concepts":[{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.8661470413208008},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6701067090034485},{"id":"https://openalex.org/C14041564","wikidata":"https://www.wikidata.org/wiki/Q891408","display_name":"Elastic energy","level":2,"score":0.6184771060943604},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.5890666246414185},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5428081154823303},{"id":"https://openalex.org/C14961307","wikidata":"https://www.wikidata.org/wiki/Q5377176","display_name":"Energy minimization","level":2,"score":0.5280417203903198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5190475583076477},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4995431900024414},{"id":"https://openalex.org/C2984755018","wikidata":"https://www.wikidata.org/wiki/Q17118374","display_name":"Nonlinear model","level":3,"score":0.4843774735927582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47537294030189514},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4481491148471832},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.4317290186882019},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4241170883178711},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33875739574432373},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3242218494415283},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24025094509124756},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20774301886558533},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.12043556571006775},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08376991748809814},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05766695737838745},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2011-1057","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1057","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1606559036","https://openalex.org/W1975747602","https://openalex.org/W1984820707","https://openalex.org/W1992619757","https://openalex.org/W1994027175","https://openalex.org/W1997332783","https://openalex.org/W1998387579","https://openalex.org/W2000698809","https://openalex.org/W2019404579","https://openalex.org/W2028883738","https://openalex.org/W2065041840","https://openalex.org/W2065668980","https://openalex.org/W2086557158","https://openalex.org/W2088703872","https://openalex.org/W2095305794","https://openalex.org/W2105340951","https://openalex.org/W2143325210","https://openalex.org/W2157010516","https://openalex.org/W2169688300","https://openalex.org/W2233768960","https://openalex.org/W3102289976","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4281970230","https://openalex.org/W3105521870","https://openalex.org/W4298214516","https://openalex.org/W4298268134","https://openalex.org/W2102597586","https://openalex.org/W2049607981","https://openalex.org/W2963679354","https://openalex.org/W4252171904","https://openalex.org/W2166742209","https://openalex.org/W2891476794"],"abstract_inverted_index":{"We":[0,37],"introduce":[1],"a":[2,79,97],"simplified":[3,26,52,73],"model":[4,16,27,53,61],"for":[5],"the":[6,9,34,39,47,51,55,59,63,67,86,89,93],"minimization":[7],"of":[8,41,50,58,88],"elastic":[10],"energy":[11,74],"in":[12],"thin":[13],"shells.":[14],"This":[15],"is":[17],"not":[18],"obtained":[19],"by":[20,31,44],"an":[21],"asymptotic":[22],"analysis.":[23],"The":[24,72],"nonlinear":[25],"admits":[28],"always":[29],"minimizers":[30],"contrast":[32],"with":[33],"original":[35],"one.":[36],"show":[38],"relevance":[40],"our":[42],"approach":[43],"proving":[45],"that":[46],"rescaled":[48,56],"minimum":[49],"and":[54,91],"infimum":[57],"full":[60],"have":[62],"same":[64],"limit":[65],"as":[66,78,96],"thickness":[68,94],"tends":[69],"to":[70],"0.":[71],"can":[75],"be":[76],"expressed":[77],"functional":[80],"acting":[81],"over":[82],"fields":[83],"defined":[84],"on":[85],"mid-surface":[87],"shell":[90],"where":[92],"remains":[95],"parameter.":[98]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}