An Explicit Consistent Geometric Stiffness Matrix for the DKT Element

Detalhes bibliográficos
Autor(a) principal: Lucena Neto,Eliseu
Data de Publicação: 2017
Outros Autores: Araripe,Marcus Antônio Ferreira, Monteiro,Francisco Alex Correia, Hernandes,José Antônio
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=S1679-78252017000400613
Resumo: Abstract A large number of references dealing with the geometric stiffness matrix of the DKT finite element exist in the literature, where nearly all of them adopt an inconsistent form. While such a matrix may be part of the element to treat nonlinear problems in general, it is of crucial importance for linearized buckling analysis. The present work seems to be the first to obtain an explicit expression for this matrix in a consistent way. Numerical results on linear buckling of plates assess the element performance either with the proposed explicit consistent matrix, or with the most commonly used inconsistent matrix.
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spelling An Explicit Consistent Geometric Stiffness Matrix for the DKT ElementDKTgeometric stiffness matrixdiscrete Kirchhoff trianglebucklingAbstract A large number of references dealing with the geometric stiffness matrix of the DKT finite element exist in the literature, where nearly all of them adopt an inconsistent form. While such a matrix may be part of the element to treat nonlinear problems in general, it is of crucial importance for linearized buckling analysis. The present work seems to be the first to obtain an explicit expression for this matrix in a consistent way. Numerical results on linear buckling of plates assess the element performance either with the proposed explicit consistent matrix, or with the most commonly used inconsistent matrix.Associação Brasileira de Ciências Mecânicas2017-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000400613Latin American Journal of Solids and Structures v.14 n.4 2017reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78252799info:eu-repo/semantics/openAccessLucena Neto,EliseuAraripe,Marcus Antônio FerreiraMonteiro,Francisco Alex CorreiaHernandes,José Antônioeng2017-06-22T00:00:00Zoai:scielo:S1679-78252017000400613Revistahttp://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:2017-06-22T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv An Explicit Consistent Geometric Stiffness Matrix for the DKT Element
title An Explicit Consistent Geometric Stiffness Matrix for the DKT Element
spellingShingle An Explicit Consistent Geometric Stiffness Matrix for the DKT Element
Lucena Neto,Eliseu
DKT
geometric stiffness matrix
discrete Kirchhoff triangle
buckling
title_short An Explicit Consistent Geometric Stiffness Matrix for the DKT Element
title_full An Explicit Consistent Geometric Stiffness Matrix for the DKT Element
title_fullStr An Explicit Consistent Geometric Stiffness Matrix for the DKT Element
title_full_unstemmed An Explicit Consistent Geometric Stiffness Matrix for the DKT Element
title_sort An Explicit Consistent Geometric Stiffness Matrix for the DKT Element
author Lucena Neto,Eliseu
author_facet Lucena Neto,Eliseu
Araripe,Marcus Antônio Ferreira
Monteiro,Francisco Alex Correia
Hernandes,José Antônio
author_role author
author2 Araripe,Marcus Antônio Ferreira
Monteiro,Francisco Alex Correia
Hernandes,José Antônio
author2_role author
author
author
dc.contributor.author.fl_str_mv Lucena Neto,Eliseu
Araripe,Marcus Antônio Ferreira
Monteiro,Francisco Alex Correia
Hernandes,José Antônio
dc.subject.por.fl_str_mv DKT
geometric stiffness matrix
discrete Kirchhoff triangle
buckling
topic DKT
geometric stiffness matrix
discrete Kirchhoff triangle
buckling
description Abstract A large number of references dealing with the geometric stiffness matrix of the DKT finite element exist in the literature, where nearly all of them adopt an inconsistent form. While such a matrix may be part of the element to treat nonlinear problems in general, it is of crucial importance for linearized buckling analysis. The present work seems to be the first to obtain an explicit expression for this matrix in a consistent way. Numerical results on linear buckling of plates assess the element performance either with the proposed explicit consistent matrix, or with the most commonly used inconsistent matrix.
publishDate 2017
dc.date.none.fl_str_mv 2017-03-01
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=S1679-78252017000400613
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000400613
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78252799
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.14 n.4 2017
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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