Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
Outros Autores: | , |
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=S1679-78252019000800507 |
Resumo: | Abstract This paper presents investigations laminated plates under moderately large transverse displacements and initial instability, through the Generalized Finite Element Methods - GFEM. The von Kármán plate hypothesis are used along with Kirchhoff and Reissner-Mindlin kinematic plate bending models to approximate transverse displacements and critical buckling loads. The generalized approximation functions are either C 0or C k continuous functions, with k being arbitrarily large. It is well known that in GFEM, when both the partition of unity (PoU) and the enrichments functions are polynomials, the stiffness matrices are singular or ill conditioned, which causes additional difficulties in applications that requires the solution of algebraic eigenvalues problems, like in the determination of natural frequencies of vibration or the initial buckling loads. Some investigations regarding this problem are presently addressed and some aspects and advantages of using C k -GFEM are observed. In addition, comparisons are presented between the classical GFEM and the Stable-GFEM (SGFEM) with regard to the evaluation of the initial critical buckling loads. The numerical experiments use reference values from analytical and numerical results obtained in the open literature. |
id |
ABCM-1_dc623b7365f066b08dd4cf8c6091a89d |
---|---|
oai_identifier_str |
oai:scielo:S1679-78252019000800507 |
network_acronym_str |
ABCM-1 |
network_name_str |
Latin American journal of solids and structures (Online) |
repository_id_str |
|
spelling |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element methodLarge displacements in plateslaminated plate bendingGFEMSGFEMarbitrarily continuous approximation functions.Abstract This paper presents investigations laminated plates under moderately large transverse displacements and initial instability, through the Generalized Finite Element Methods - GFEM. The von Kármán plate hypothesis are used along with Kirchhoff and Reissner-Mindlin kinematic plate bending models to approximate transverse displacements and critical buckling loads. The generalized approximation functions are either C 0or C k continuous functions, with k being arbitrarily large. It is well known that in GFEM, when both the partition of unity (PoU) and the enrichments functions are polynomials, the stiffness matrices are singular or ill conditioned, which causes additional difficulties in applications that requires the solution of algebraic eigenvalues problems, like in the determination of natural frequencies of vibration or the initial buckling loads. Some investigations regarding this problem are presently addressed and some aspects and advantages of using C k -GFEM are observed. In addition, comparisons are presented between the classical GFEM and the Stable-GFEM (SGFEM) with regard to the evaluation of the initial critical buckling loads. The numerical experiments use reference values from analytical and numerical results obtained in the open literature.Associação Brasileira de Ciências Mecânicas2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000800507Latin American Journal of Solids and Structures v.16 n.8 2019reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78255394info:eu-repo/semantics/openAccessMendonça,Paulo de Tarso Rocha deRibeiro,MarxBarcellos,Clovis Sperb deeng2019-10-25T00:00:00Zoai:scielo:S1679-78252019000800507Revistahttp://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:2019-10-25T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method |
title |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method |
spellingShingle |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method Mendonça,Paulo de Tarso Rocha de Large displacements in plates laminated plate bending GFEM SGFEM arbitrarily continuous approximation functions. |
title_short |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method |
title_full |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method |
title_fullStr |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method |
title_full_unstemmed |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method |
title_sort |
Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method |
author |
Mendonça,Paulo de Tarso Rocha de |
author_facet |
Mendonça,Paulo de Tarso Rocha de Ribeiro,Marx Barcellos,Clovis Sperb de |
author_role |
author |
author2 |
Ribeiro,Marx Barcellos,Clovis Sperb de |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Mendonça,Paulo de Tarso Rocha de Ribeiro,Marx Barcellos,Clovis Sperb de |
dc.subject.por.fl_str_mv |
Large displacements in plates laminated plate bending GFEM SGFEM arbitrarily continuous approximation functions. |
topic |
Large displacements in plates laminated plate bending GFEM SGFEM arbitrarily continuous approximation functions. |
description |
Abstract This paper presents investigations laminated plates under moderately large transverse displacements and initial instability, through the Generalized Finite Element Methods - GFEM. The von Kármán plate hypothesis are used along with Kirchhoff and Reissner-Mindlin kinematic plate bending models to approximate transverse displacements and critical buckling loads. The generalized approximation functions are either C 0or C k continuous functions, with k being arbitrarily large. It is well known that in GFEM, when both the partition of unity (PoU) and the enrichments functions are polynomials, the stiffness matrices are singular or ill conditioned, which causes additional difficulties in applications that requires the solution of algebraic eigenvalues problems, like in the determination of natural frequencies of vibration or the initial buckling loads. Some investigations regarding this problem are presently addressed and some aspects and advantages of using C k -GFEM are observed. In addition, comparisons are presented between the classical GFEM and the Stable-GFEM (SGFEM) with regard to the evaluation of the initial critical buckling loads. The numerical experiments use reference values from analytical and numerical results obtained in the open literature. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-01-01 |
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=S1679-78252019000800507 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000800507 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78255394 |
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.16 n.8 2019 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 |
_version_ |
1754302890327932928 |