{"id":"https://openalex.org/W7204967810","doi":"https://doi.org/10.48550/arxiv.2608.30445","title":"Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity","display_name":"Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity","publication_year":2026,"publication_date":"2026-08-31","ids":{"openalex":"https://openalex.org/W7204967810","doi":"https://doi.org/10.48550/arxiv.2608.30445"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.30445","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30445","pdf_url":"https://arxiv.org/pdf/2608.30445","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":null,"license_id":null,"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/2608.30445","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068952740","display_name":"Trung Hieu Giang","orcid":"https://orcid.org/0000-0001-6665-4873","observed_orcids":["https://orcid.org/0000-0001-6665-4873"]},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]},{"id":"https://openalex.org/I70349855","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50","country_code":"VN","type":"government","lineage":["https://openalex.org/I70349855"]}],"countries":["CZ","VN"],"is_corresponding":true,"raw_author_name":"Giang, Trung Hieu","raw_affiliation_strings":["Department of Mathematical Analysis , Faculty of Mathematics and Physics , Charles University , Praha , Czech Republic","Institute of Mathematics , Vietnam Academy of Science and Technology , 18 Hoang Quoc Viet , Hanoi , Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Analysis , Faculty of Mathematics and Physics , Charles University , Praha , Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Institute of Mathematics , Vietnam Academy of Science and Technology , 18 Hoang Quoc Viet , Hanoi , Vietnam","institution_ids":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068952740"],"corresponding_institution_ids":["https://openalex.org/I21250087","https://openalex.org/I4210148301","https://openalex.org/I70349855"],"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.6664999723434448,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.6664999723434448,"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/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.060600001364946365,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.05180000141263008,"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/magnetoelastic-effect","display_name":"magnetoelasticity","score":0.9369999766349792},{"id":"https://openalex.org/keywords/membrane-shells","display_name":"membrane shells","score":0.628000020980835},{"id":"https://openalex.org/keywords/gamma-convergence","display_name":"Gamma-convergence","score":0.8989999890327454},{"id":"https://openalex.org/keywords/linear-elasticity","display_name":"linear elasticity","score":0.5080000162124634},{"id":"https://openalex.org/keywords/shell-model","display_name":"shell model","score":0.6230000257492065},{"id":"https://openalex.org/keywords/minimizers","display_name":"minimizers","score":0.640999972820282},{"id":"https://openalex.org/keywords/three-dimensional-to-two-dimensional-reduction","display_name":"three-dimensional to two-dimensional reduction","score":0.7639999985694885}],"concepts":[{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.6407999992370605},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.517799973487854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4909000098705292},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.46860000491142273},{"id":"https://openalex.org/C2994136837","wikidata":"https://www.wikidata.org/wiki/Q7493730","display_name":"Shell theory","level":3,"score":0.421999990940094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4056999981403351},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3287999927997589},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.3095000088214874},{"id":"https://openalex.org/C2776542497","wikidata":"https://www.wikidata.org/wiki/Q5266672","display_name":"Development (topology)","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.25940001010894775},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.30445","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30445","pdf_url":"https://arxiv.org/pdf/2608.30445","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.30445","doi":"https://doi.org/10.48550/arxiv.2608.30445","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.30445","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.30445","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30445","pdf_url":"https://arxiv.org/pdf/2608.30445","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5857897170","display_name":null,"funder_award_id":"24/SCI/020","funder_id":"https://openalex.org/F4320309755","funder_display_name":"Univerzita Karlova v Praze"},{"id":"https://openalex.org/G7083414870","display_name":null,"funder_award_id":"PRIMUS/24/SCI/020","funder_id":"https://openalex.org/F4320309755","funder_display_name":"Univerzita Karlova v Praze"}],"funders":[{"id":"https://openalex.org/F4320309755","display_name":"Univerzita Karlova v Praze","ror":"https://ror.org/024d6js02"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204967810.pdf","grobid_xml":"https://content.openalex.org/works/W7204967810.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W6927726574","https://openalex.org/W2077806111","https://openalex.org/W7097168521","https://openalex.org/W4293864183","https://openalex.org/W2325610591","https://openalex.org/W3215532935","https://openalex.org/W7214626010","https://openalex.org/W968119192","https://openalex.org/W2119974098","https://openalex.org/W3109409017"],"abstract_inverted_index":{"Starting":[0],"from":[1],"a":[2,14,26,39],"three-dimensional":[3,52],"model":[4,44,53],"of":[5,13,28,56,59],"linearized":[6],"magnetoelasticity,":[7],"we":[8,36],"investigate":[9],"the":[10,50,57],"asymptotic":[11],"behavior":[12],"thin":[15],"shell":[16,43],"as":[17],"its":[18,47],"thickness":[19],"approaches":[20],"zero.":[21],"Our":[22],"analysis":[23],"focuses":[24],"on":[25],"family":[27],"linearly":[29],"elastic":[30],"elliptic":[31],"membrane":[32],"shells.":[33],"Using":[34],"$\u0393$-convergence,":[35],"rigorously":[37],"derive":[38],"two-dimensional":[40],"linear":[41],"magnetoelastic":[42],"and":[45],"establish":[46],"relationship":[48],"to":[49],"original":[51],"in":[54],"terms":[55],"convergence":[58],"minimizers.":[60]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-02T00:00:00"}
