{"id":"https://openalex.org/W4252570213","doi":"https://doi.org/10.1137/140964321","title":"Linear Models for Composite Thin-Walled Beams by $\\Gamma$-Convergence. Part II: Closed Cross-Sections","display_name":"Linear Models for Composite Thin-Walled Beams by $\\Gamma$-Convergence. Part II: Closed Cross-Sections","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W4252570213","doi":"https://doi.org/10.1137/140964321"},"language":"en","primary_location":{"id":"doi:10.1137/140964321","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140964321","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11390/1001347","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017169103","display_name":"Cesare Davini","orcid":"https://orcid.org/0000-0002-1438-248X"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"C. Davini","raw_affiliation_strings":["Dipartimento di Ingegneria Civile e Architettura, Universit\u00e1 di Udine, 33100 Udine, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Architettura, Universit\u00e1 di Udine, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039500113","display_name":"Lorenzo Freddi","orcid":"https://orcid.org/0000-0002-6954-4773"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Freddi","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e1 di Udine, 33100 Udine, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e1 di Udine, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020633971","display_name":"Roberto Paroni","orcid":"https://orcid.org/0000-0003-3040-0112"},"institutions":[{"id":"https://openalex.org/I159650629","display_name":"University of Sassari","ror":"https://ror.org/01bnjbv91","country_code":"IT","type":"education","lineage":["https://openalex.org/I159650629"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"R. Paroni","raw_affiliation_strings":["DADU, Universit\u00e0 degli Studi di Sassari, Palazzo del Pou Salit, 07041 Alghero, Italy"],"affiliations":[{"raw_affiliation_string":"DADU, Universit\u00e0 degli Studi di Sassari, Palazzo del Pou Salit, 07041 Alghero, Italy","institution_ids":["https://openalex.org/I159650629"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017169103"],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.38602109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":"5","first_page":"3332","last_page":"3360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9998000264167786,"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":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.7259294986724854},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6196814179420471},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5906858444213867},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5827563405036926},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.5765503644943237},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5537393093109131},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.529487669467926},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.4503161907196045},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.414180189371109},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.345511257648468},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2649279534816742},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13491374254226685},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07222595810890198}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7259294986724854},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6196814179420471},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5906858444213867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5827563405036926},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5765503644943237},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5537393093109131},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.529487669467926},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.4503161907196045},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.414180189371109},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.345511257648468},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2649279534816742},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13491374254226685},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07222595810890198},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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":3,"locations":[{"id":"doi:10.1137/140964321","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140964321","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:air.uniud.it:11390/1001347","is_oa":true,"landing_page_url":"http://hdl.handle.net/11390/1001347","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"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":"","raw_type":"1.1 Articolo in rivista"},{"id":"pmh:oai:arpi.unipi.it:11568/885744","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/885744","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:air.uniud.it:11390/1001347","is_oa":true,"landing_page_url":"http://hdl.handle.net/11390/1001347","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"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":"","raw_type":"1.1 Articolo in rivista"},"sustainable_development_goals":[{"score":0.75,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1988221005","https://openalex.org/W2004065836","https://openalex.org/W2027463241","https://openalex.org/W2035846800","https://openalex.org/W2063968613","https://openalex.org/W2111845009","https://openalex.org/W2963791485","https://openalex.org/W4229943838"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W27212783","https://openalex.org/W2076389328","https://openalex.org/W2112067436","https://openalex.org/W1560496689","https://openalex.org/W4292694493","https://openalex.org/W4386900933","https://openalex.org/W3186835510","https://openalex.org/W1549614187","https://openalex.org/W2002854980"],"abstract_inverted_index":{"We":[0,17,42],"consider":[1],"a":[2,8,12,31,44,73,96,115],"beam":[3,46,126],"whose":[4],"cross":[5],"section":[6],"is":[7,88,93],"tubular":[9],"neighborhood":[10],"of":[11,26,37,63,124,131],"simple":[13],"closed":[14],"curve":[15],"$\\gamma$.":[16],"assume":[18],"that":[19,49],"the":[20,24,27,35,59,78,82,104,125,129],"wall":[21],"thickness,":[22],"i.e.,":[23],"size":[25],"neighborhood,":[28],"scales":[29,39],"with":[30,40],"parameter":[32],"$\\delta_\\varepsilon$":[33,50,87],"while":[34],"length":[36],"$\\gamma$":[38],"$\\varepsilon$.":[41,56],"characterize":[43],"thin-walled":[45,109],"by":[47,65],"assuming":[48],"goes":[51],"to":[52,69],"zero":[53],"faster":[54],"than":[55],"Starting":[57],"from":[58],"three-dimensional":[60],"linear":[61],"theory":[62,105,130],"elasticity,":[64],"letting":[66],"$\\varepsilon$":[67],"go":[68],"zero,":[70],"we":[71],"derive":[72],"one-dimensional":[74],"$\\Gamma$-limit":[75],"problem":[76],"for":[77,95,107],"case":[79],"in":[80,114,128],"which":[81],"ratio":[83],"between":[84],"$\\varepsilon^2$":[85],"and":[86,99,118],"bounded.":[89],"The":[90],"limit":[91],"model":[92],"obtained":[94],"fully":[97],"anisotropic":[98],"inhomogeneous":[100],"material,":[101],"thus":[102],"making":[103],"applicable":[106],"composite":[108],"beams.":[110],"Our":[111],"approach":[112],"recovers":[113],"systematic":[116],"way,":[117],"gives":[119],"account":[120],"of,":[121],"many":[122],"features":[123],"models":[127],"Vlasov.":[132]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
