{"id":"https://openalex.org/W2555307166","doi":"https://doi.org/10.1002/nme.5467","title":"Assumed natural strain and stabilized quadrilateral Lobatto spectral elements for C0 plate/shell analysis","display_name":"Assumed natural strain and stabilized quadrilateral Lobatto spectral elements for C0 plate/shell analysis","publication_year":2016,"publication_date":"2016-11-16","ids":{"openalex":"https://openalex.org/W2555307166","doi":"https://doi.org/10.1002/nme.5467","mag":"2555307166"},"language":"en","primary_location":{"id":"doi:10.1002/nme.5467","doi":"https://doi.org/10.1002/nme.5467","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nme.5467","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","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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","is_traditional":true,"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/A5043389897","display_name":"K. Y. Sze","orcid":"https://orcid.org/0000-0002-2535-5348","observed_orcids":["https://orcid.org/0000-0002-2535-5348"]},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"K. Y. Sze","raw_affiliation_strings":["Department of Mechanical Engineering The University of Hong Kong Pokfulam Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering The University of Hong Kong Pokfulam Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085028373","display_name":"Yucai Hu","orcid":"https://orcid.org/0000-0003-4259-7653","observed_orcids":["https://orcid.org/0000-0003-4259-7653"]},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Y. C. Hu","raw_affiliation_strings":["Department of Mechanical Engineering The University of Hong Kong Pokfulam Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering The University of Hong Kong Pokfulam Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043389897"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":{"value":4250,"currency":"USD","value_usd":4250},"apc_paid":null,"fwci":0.4613,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.56457499,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":"111","issue":"5","first_page":"403","last_page":"446"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9779999852180481,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9779999852180481,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.010400000028312206,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.009700000286102295,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/assumed-natural-strain","display_name":"assumed natural strain","score":0.878000020980835},{"id":"https://openalex.org/keywords/stabilized-finite-element-method","display_name":"stabilized finite element method","score":0.6899999976158142},{"id":"https://openalex.org/keywords/quadrilateral-elements","display_name":"quadrilateral elements","score":0.8050000071525574},{"id":"https://openalex.org/keywords/transverse-shear-strain","display_name":"transverse shear strain","score":0.8080000281333923},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.6579999923706055},{"id":"https://openalex.org/keywords/boundary-layer-effects","display_name":"boundary layer effects","score":0.593999981880188}],"concepts":[{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.7032778859138489},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.6769659519195557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5921639204025269},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.5611191987991333},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5114104151725769},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47087323665618896},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.42503973841667175},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3994636535644531},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3843744695186615},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.35713255405426025},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1795787811279297},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16675645112991333},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11751383543014526},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.10549589991569519},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.10098496079444885},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/nme.5467","doi":"https://doi.org/10.1002/nme.5467","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nme.5467","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","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W1488942459","https://openalex.org/W1543911808","https://openalex.org/W1573186872","https://openalex.org/W1971582247","https://openalex.org/W1980005758","https://openalex.org/W1981373044","https://openalex.org/W1985144286","https://openalex.org/W1986779789","https://openalex.org/W1988235858","https://openalex.org/W1992492768","https://openalex.org/W1997588133","https://openalex.org/W2000281698","https://openalex.org/W2002371594","https://openalex.org/W2003494472","https://openalex.org/W2004049383","https://openalex.org/W2008091026","https://openalex.org/W2009107370","https://openalex.org/W2015697119","https://openalex.org/W2016969945","https://openalex.org/W2017349955","https://openalex.org/W2024321552","https://openalex.org/W2032126077","https://openalex.org/W2033509282","https://openalex.org/W2036094169","https://openalex.org/W2039496410","https://openalex.org/W2041973357","https://openalex.org/W2043574615","https://openalex.org/W2047352485","https://openalex.org/W2051462662","https://openalex.org/W2052266804","https://openalex.org/W2052470090","https://openalex.org/W2059174743","https://openalex.org/W2068847877","https://openalex.org/W2070143886","https://openalex.org/W2070663975","https://openalex.org/W2078548624","https://openalex.org/W2080795040","https://openalex.org/W2089413242","https://openalex.org/W2094192024","https://openalex.org/W2095822370","https://openalex.org/W2112975980","https://openalex.org/W2120627663","https://openalex.org/W2127140329","https://openalex.org/W2132461247","https://openalex.org/W2132782245","https://openalex.org/W2138617924","https://openalex.org/W2140244961","https://openalex.org/W2149234906","https://openalex.org/W2161682513","https://openalex.org/W2163785732","https://openalex.org/W2164407853","https://openalex.org/W2165168060","https://openalex.org/W2167059410","https://openalex.org/W2174733290","https://openalex.org/W2310513352","https://openalex.org/W2603431540","https://openalex.org/W2886629060"],"related_works":["https://openalex.org/W2174733290","https://openalex.org/W2167059410","https://openalex.org/W2068726446","https://openalex.org/W2049992424","https://openalex.org/W3213558194","https://openalex.org/W2089171646","https://openalex.org/W2017774973","https://openalex.org/W2052266804","https://openalex.org/W2886629060","https://openalex.org/W2008091026"],"abstract_inverted_index":{"Summary":[0],"Lobatto":[1,12,16,59,117,171],"elements":[2,8,63,167],"are":[3,67,74,158,184],"high":[4],"order":[5,65],"or":[6],"spectral":[7],"featured":[9],"by":[10,140,186],"non\u2010equispaced":[11],"nodes":[13,118],"and":[14,57,82,105,119],"the":[15,24,28,31,36,39,79,89,96,103,109,116,120,129,144,148,162,169],"nodal":[17,40,97,145],"quadrature.":[18],"The":[19,99,165],"tensor":[20],"product":[21],"nature":[22],"of":[23,64,161],"element":[25,163,172],"interpolation":[26,142],"allows":[27],"derivatives":[29,37],"at":[30,88,115],"node":[32],"be":[33,138],"computed":[34],"through":[35],"along":[38,95,143],"line":[41],"which":[42],"involve":[43],"only":[44,154],"1D":[45,90,141],"interpolations.":[46],"In":[47,147],"this":[48],"paper,":[49],"generic":[50],"schemes":[51,73,77,107,136],"for":[52,151],"formulating":[53],"assumed":[54,70],"natural":[55,71,85,112,131],"strain":[56,72,86,113,132],"stabilized":[58],"Lagrange":[60],"C0":[61],"plate/shell":[62],"2":[66],"presented.":[68],"Two":[69],"devised.":[75],"Both":[76],"sample":[78,108],"normal":[80],"membrane":[81,110],"transverse":[83],"shear":[84,111],"components":[87,133],"reduced\u2010order":[91,122],"Gaussian":[92,123],"quadrature":[93,124],"points":[94],"lines.":[98,146],"difference":[100],"is":[101],"that":[102],"first":[104],"second":[106],"component":[114],"2D":[121],"points,":[125],"respectively.":[126],"Meanwhile,":[127],"all":[128],"other":[130],"in":[134],"both":[135],"can":[137],"obtained":[139],"stabilization":[149,156],"scheme":[150],"reduced\u2010integrated":[152],"elements,":[153],"five":[155],"vectors":[157],"required":[159],"regardless":[160],"order.":[164],"new":[166],"outperform":[168],"standard":[170],"except":[173],"when":[174],"membrane\u2010dominated":[175],"curved":[176],"thin\u2010shell":[177],"problems":[178],"with":[179],"strong":[180],"boundary":[181],"layer":[182],"effect":[183],"considered":[185],"coarse":[187],"meshes.":[188],"Copyright":[189],"\u00a9":[190],"2016":[191],"John":[192],"Wiley":[193],"&":[194],"Sons,":[195],"Ltd.":[196]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-11-30T00:00:00"}