Finite Elements for the One Variable Version of Mindlin-Reissner Plate

Detalhes bibliográficos
Autor(a) principal: Hassan,Kamal
Data de Publicação: 2020
Outros Autores: Ali,Ehab, Tawfik,Mohammad
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Latin American journal of solids and structures (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252020000600503
Resumo: Abstract To analyze thin and thick plates, the paper presents two rectangular finite elements with high accuracy. In these elements, the proposed formulations of the displacement field utilize the Bergan-Wang approach, which depends only on one variable: the plate lateral deflection. This approach ensures that shear-locking problem will not happen as thickness decreases. The degrees of freedom of the proposed elements are twenty-four for the first element and it is named BWRE24, while the second one has thirty-six degrees of freedom and is named BWRE36. To evidence the efficiency of the two elements, a series of numerical examples for an isotropic plate subjected to various loadings and with different boundary conditions have been analyzed. Very good results are obtained suffering no numerical difficulties in case of very thin plates.
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spelling Finite Elements for the One Variable Version of Mindlin-Reissner PlateBergan-Wang approachThin and Thick plateDisplacement finite element formulationAbstract To analyze thin and thick plates, the paper presents two rectangular finite elements with high accuracy. In these elements, the proposed formulations of the displacement field utilize the Bergan-Wang approach, which depends only on one variable: the plate lateral deflection. This approach ensures that shear-locking problem will not happen as thickness decreases. The degrees of freedom of the proposed elements are twenty-four for the first element and it is named BWRE24, while the second one has thirty-six degrees of freedom and is named BWRE36. To evidence the efficiency of the two elements, a series of numerical examples for an isotropic plate subjected to various loadings and with different boundary conditions have been analyzed. Very good results are obtained suffering no numerical difficulties in case of very thin plates.Associação Brasileira de Ciências Mecânicas2020-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252020000600503Latin American Journal of Solids and Structures v.17 n.6 2020reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78256170info:eu-repo/semantics/openAccessHassan,KamalAli,EhabTawfik,Mohammadeng2020-09-15T00:00:00Zoai:scielo:S1679-78252020000600503Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2020-09-15T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Finite Elements for the One Variable Version of Mindlin-Reissner Plate
title Finite Elements for the One Variable Version of Mindlin-Reissner Plate
spellingShingle Finite Elements for the One Variable Version of Mindlin-Reissner Plate
Hassan,Kamal
Bergan-Wang approach
Thin and Thick plate
Displacement finite element formulation
title_short Finite Elements for the One Variable Version of Mindlin-Reissner Plate
title_full Finite Elements for the One Variable Version of Mindlin-Reissner Plate
title_fullStr Finite Elements for the One Variable Version of Mindlin-Reissner Plate
title_full_unstemmed Finite Elements for the One Variable Version of Mindlin-Reissner Plate
title_sort Finite Elements for the One Variable Version of Mindlin-Reissner Plate
author Hassan,Kamal
author_facet Hassan,Kamal
Ali,Ehab
Tawfik,Mohammad
author_role author
author2 Ali,Ehab
Tawfik,Mohammad
author2_role author
author
dc.contributor.author.fl_str_mv Hassan,Kamal
Ali,Ehab
Tawfik,Mohammad
dc.subject.por.fl_str_mv Bergan-Wang approach
Thin and Thick plate
Displacement finite element formulation
topic Bergan-Wang approach
Thin and Thick plate
Displacement finite element formulation
description Abstract To analyze thin and thick plates, the paper presents two rectangular finite elements with high accuracy. In these elements, the proposed formulations of the displacement field utilize the Bergan-Wang approach, which depends only on one variable: the plate lateral deflection. This approach ensures that shear-locking problem will not happen as thickness decreases. The degrees of freedom of the proposed elements are twenty-four for the first element and it is named BWRE24, while the second one has thirty-six degrees of freedom and is named BWRE36. To evidence the efficiency of the two elements, a series of numerical examples for an isotropic plate subjected to various loadings and with different boundary conditions have been analyzed. Very good results are obtained suffering no numerical difficulties in case of very thin plates.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252020000600503
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252020000600503
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78256170
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
dc.source.none.fl_str_mv Latin American Journal of Solids and Structures v.17 n.6 2020
reponame:Latin American journal of solids and structures (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Latin American journal of solids and structures (Online)
collection Latin American journal of solids and structures (Online)
repository.name.fl_str_mv Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv abcm@abcm.org.br||maralves@usp.br
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