{"id":"https://openalex.org/W2130664584","doi":"https://doi.org/10.1002/nme.1620340107","title":"An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation","display_name":"An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation","publication_year":1992,"publication_date":"1992-03-15","ids":{"openalex":"https://openalex.org/W2130664584","doi":"https://doi.org/10.1002/nme.1620340107","mag":"2130664584"},"language":"en","primary_location":{"id":"doi:10.1002/nme.1620340107","doi":"https://doi.org/10.1002/nme.1620340107","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nme.1620340107","pdf_url":null,"source":{"id":"https://openalex.org/S165651092","display_name":"International Journal for Numerical Methods in Engineering","issn_l":"0029-5981","issn":["0029-5981","1097-0207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-2","norway-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal-article"},"volume":null,"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/A5028733405","display_name":"Carlo Sansour","orcid":"https://orcid.org/0000-0002-3169-7192","observed_orcids":["https://orcid.org/0000-0002-3169-7192"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Carlo Sansour","raw_affiliation_strings":["Institute of Mechanics (Civil Engineering), Stuttgart University, Pfaffenwaldring 7, 7000 Stuttgart 80, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mechanics (Civil Engineering), Stuttgart University, Pfaffenwaldring 7, 7000 Stuttgart 80, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061697656","display_name":"Hans Bufler","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans Bufler","raw_affiliation_strings":["Institute of Mechanics (Civil Engineering), Stuttgart University, Pfaffenwaldring 7, 7000 Stuttgart 80, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mechanics (Civil Engineering), Stuttgart University, Pfaffenwaldring 7, 7000 Stuttgart 80, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":{"value":4250,"currency":"USD","value_usd":4250},"apc_paid":null,"fwci":14.2429,"has_fulltext":false,"cited_by_count":142,"citation_normalized_percentile":{"value":0.99533325,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"34","issue":"1","first_page":"73","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.673799991607666,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.673799991607666,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.28049999475479126,"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/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.008999999612569809,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-shell-theory","display_name":"nonlinear shell theory","score":0.824999988079071},{"id":"https://openalex.org/keywords/transverse-shear-strain","display_name":"transverse shear strain","score":0.8830000162124634},{"id":"https://openalex.org/keywords/polar-decomposition","display_name":"polar decomposition","score":0.8069999814033508},{"id":"https://openalex.org/keywords/rotation-tensor","display_name":"rotation tensor","score":0.8140000104904175},{"id":"https://openalex.org/keywords/drilling-degrees-of-freedom","display_name":"drilling degrees of freedom","score":0.8849999904632568},{"id":"https://openalex.org/keywords/mixed-variational-principle","display_name":"mixed variational principle","score":0.8830000162124634},{"id":"https://openalex.org/keywords/hybrid-finite-element-formulation","display_name":"hybrid finite element formulation","score":0.9769999980926514},{"id":"https://openalex.org/keywords/locking","display_name":"locking","score":0.4490000009536743},{"id":"https://openalex.org/keywords/shell-deformation","display_name":"shell deformation","score":0.5239999890327454}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.81346595287323},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.6222517490386963},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.5831469893455505},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.549838662147522},{"id":"https://openalex.org/C163892269","wikidata":"https://www.wikidata.org/wiki/Q15300737","display_name":"Finite strain theory","level":3,"score":0.5290994644165039},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.5231615304946899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5224912762641907},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5193741917610168},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4551612436771393},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.4523908793926239},{"id":"https://openalex.org/C2994136837","wikidata":"https://www.wikidata.org/wiki/Q7493730","display_name":"Shell theory","level":3,"score":0.4400203824043274},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3633185625076294},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24414613842964172},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.15266340970993042},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10748311877250671},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.08701536059379578},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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:10.1002/nme.1620340107","doi":"https://doi.org/10.1002/nme.1620340107","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nme.1620340107","pdf_url":null,"source":{"id":"https://openalex.org/S165651092","display_name":"International Journal for Numerical Methods in Engineering","issn_l":"0029-5981","issn":["0029-5981","1097-0207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-2","norway-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Peace, justice, and strong institutions","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W57185499","https://openalex.org/W81658285","https://openalex.org/W148078864","https://openalex.org/W160480676","https://openalex.org/W186982284","https://openalex.org/W195420061","https://openalex.org/W212102538","https://openalex.org/W285015584","https://openalex.org/W1593406361","https://openalex.org/W1974140920","https://openalex.org/W1976247949","https://openalex.org/W1979710921","https://openalex.org/W1990410047","https://openalex.org/W1990500318","https://openalex.org/W1991275150","https://openalex.org/W1999212791","https://openalex.org/W2003402212","https://openalex.org/W2019242107","https://openalex.org/W2033169156","https://openalex.org/W2034228437","https://openalex.org/W2039496410","https://openalex.org/W2040830277","https://openalex.org/W2049062891","https://openalex.org/W2069363283","https://openalex.org/W2070143886","https://openalex.org/W2075914889","https://openalex.org/W2083465113","https://openalex.org/W2085871124","https://openalex.org/W2109911863","https://openalex.org/W2114742401","https://openalex.org/W2120627663","https://openalex.org/W2127140329","https://openalex.org/W2152918965","https://openalex.org/W2154640771","https://openalex.org/W2480939090","https://openalex.org/W4240235907","https://openalex.org/W4240743460","https://openalex.org/W4246445423","https://openalex.org/W4254766330","https://openalex.org/W4285719527","https://openalex.org/W4300037586"],"related_works":["https://openalex.org/W1977906733","https://openalex.org/W1567939749","https://openalex.org/W2010821947","https://openalex.org/W1573186872","https://openalex.org/W2071722255","https://openalex.org/W2352023866","https://openalex.org/W2021654023","https://openalex.org/W2350569191","https://openalex.org/W2375056355","https://openalex.org/W2165887158"],"abstract_inverted_index":{"Abstract":[0],"A":[1,79],"non\u2010linear":[2],"shell":[3,95],"theory,":[4,67],"including":[5],"transverse":[6],"shear":[7],"strains,":[8],"with":[9,68,100,107],"exact":[10],"description":[11],"of":[12,33,46,56,65,94,116],"the":[13,24,57,66,111,114,117,122],"kinematical":[14,71],"fields":[15],"is":[16,90],"developed.":[17,91],"The":[18],"strain":[19],"measures":[20],"are":[21,48,59,77,104],"derived":[22],"via":[23],"polar":[25],"decomposition":[26],"theorem":[27],"allowing":[28],"for":[29],"an":[30],"explicit":[31],"use":[32],"a":[34,51,62],"three":[35],"parametric":[36],"rotation":[37],"tensor.":[38],"Thus":[39],"in\u2010plane":[40],"rotations,":[41,99],"also":[42],"called":[43],"drilling":[44],"degrees":[45],"freedom,":[47],"included":[49],"in":[50,110],"natural":[52],"way.":[53],"Various":[54],"alternatives":[55],"theory":[58,118],"derived.":[60],"For":[61],"special":[63],"version":[64],"altogether":[69],"six":[70],"fields,":[72],"different":[73],"mixed":[74],"variational":[75],"principles":[76],"given.":[78],"hybrid":[80],"finite":[81,98,124],"element":[82,102,125],"formulation,":[83],"which":[84],"does":[85],"not":[86],"exhibit":[87],"locking":[88],"phenomena,":[89],"Numerical":[92],"examples":[93],"deformation":[96],"at":[97],"excellent":[101],"performance,":[103],"presented.":[105],"Comparison":[106],"results":[108],"reported":[109],"literature":[112],"demonstrates":[113],"features":[115],"as":[119,121],"well":[120],"proposed":[123],"formulation.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":3}],"updated_date":"2026-09-27T08:07:27.782135","created_date":"2025-10-10T00:00:00"}