{"id":"https://openalex.org/W4415342261","doi":"https://doi.org/10.48550/arxiv.2503.23369","title":"Asymptotically accurate and geometric locking-free finite element implementation of a refined shell theory","display_name":"Asymptotically accurate and geometric locking-free finite element implementation of a refined shell theory","publication_year":2025,"publication_date":"2025-03-30","ids":{"openalex":"https://openalex.org/W4415342261","doi":"https://doi.org/10.48550/arxiv.2503.23369"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2503.23369","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.23369","pdf_url":"https://arxiv.org/pdf/2503.23369","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2503.23369","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067709216","display_name":"Khanh Chau Le","orcid":"https://orcid.org/0000-0002-7313-8647"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Le, Khanh Chau","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5042909127","display_name":"Hoang\u2010Giang Bui","orcid":"https://orcid.org/0000-0001-7354-0495"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bui, Hoang-Giang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/finite-element-method","display_name":"Finite element method","score":0.631600022315979},{"id":"https://openalex.org/keywords/shell","display_name":"Shell (structure)","score":0.5080000162124634},{"id":"https://openalex.org/keywords/transverse-shear","display_name":"Transverse shear","score":0.5044999718666077},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.5037000179290771},{"id":"https://openalex.org/keywords/shell-theory","display_name":"Shell theory","score":0.43529999256134033},{"id":"https://openalex.org/keywords/shear","display_name":"Shear (geology)","score":0.4154999852180481}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.631600022315979},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.5080000162124634},{"id":"https://openalex.org/C2991926665","wikidata":"https://www.wikidata.org/wiki/Q2250602","display_name":"Transverse shear","level":3,"score":0.5044999718666077},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5037000179290771},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.492900013923645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48820000886917114},{"id":"https://openalex.org/C2994136837","wikidata":"https://www.wikidata.org/wiki/Q7493730","display_name":"Shell theory","level":3,"score":0.43529999256134033},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.4154999852180481},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.39329999685287476},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.3790000081062317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.30809998512268066},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3009999990463257},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.2980000078678131},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29109999537467957},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.2896000146865845},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2563999891281128}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2503.23369","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.23369","pdf_url":"https://arxiv.org/pdf/2503.23369","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2503.23369","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2503.23369","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2503.23369","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.23369","pdf_url":"https://arxiv.org/pdf/2503.23369","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Accurate":[0],"finite":[1],"element":[2],"analysis":[3],"of":[4,42,58,64,107,131],"refined":[5,45,94,118],"shell":[6,46,95,119],"theories":[7],"is":[8,51,83],"crucial":[9],"but":[10],"often":[11],"hindered":[12],"by":[13,34],"membrane":[14,101],"and":[15,56,69,72,97,102,122,129],"shear":[16,50,103],"locking":[17],"effects.":[18],"While":[19],"various":[20],"element-based":[21],"locking-free":[22],"techniques":[23],"exist,":[24],"this":[25],"work":[26],"addresses":[27],"the":[28,31,92,114,127,132],"problem":[29],"at":[30],"theoretical":[32],"level":[33],"utilizing":[35],"results":[36],"from":[37,100],"asymptotic":[38,62],"analysis.":[39],"A":[40],"formulation":[41],"a":[43],"2D":[44,117],"theory":[47,96,120],"incorporating":[48],"transverse":[49],"developed":[52],"using":[53],"rescaled":[54],"coordinates":[55],"angles":[57],"rotation,":[59],"ensuring":[60],"equal":[61],"orders":[63],"magnitude":[65],"for":[66],"extension,":[67],"bending,":[68],"rotation":[70],"measures":[71],"their":[73],"respective":[74],"stiffnesses.":[75],"This":[76],"novel":[77],"approach,":[78],"implemented":[79],"via":[80],"isogeometric":[81],"analysis,":[82],"shown":[84],"to":[85,91],"be":[86],"both":[87],"asymptotically":[88],"accurate":[89],"relative":[90],"underlying":[93],"inherently":[98],"free":[99],"locking.":[104],"Numerical":[105],"simulations":[106],"semi-cylindrical":[108],"shells":[109],"show":[110],"excellent":[111],"agreement":[112],"between":[113],"analytical":[115],"solutions,":[116],"predictions,":[121],"3D":[123],"elasticity":[124],"theory,":[125],"validating":[126],"effectiveness":[128],"accuracy":[130],"proposed":[133],"formulation.":[134]},"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-20T00:00:00"}
