Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity
Autor(a) principal: | |
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Data de Publicação: | 2015 |
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=S1679-78252015000500861 |
Resumo: | AbstractFor many practical applications in engineering, a complex structure shows linear elastic behavior over almost all its extension, but exhibits confined plasticity contained in some small critical regions, e.g. stress concentrations in fillets and sharp internal corners. The behavior of C0- and Ck-GFEM is investigated in this class of problems. The first goal of this study is to verify the actual formulation of the Ck-GFEM for two-dimensional elastoplasticity, as a modification of the C0-GFEM formulation. The Ck-GFEM is based on a set of basis functions with Ck continuity over the domain. The approximation functions are constructed from a Ck continuous partition of unity, over which polynomial enrichment functions (or any special function) can be applied, in the same fashion as in the usual C0-GFEM. In this way, the finite element approximations show continuous responses for both displacements and stresses across inter-element interfaces. An investigation is performed to assess the behavior of higher-regularity partitions of unity against conventional C0 counterparts. The irreversible response and hardening effects of the material is represented by the rate independent J2 plasticity theory with linear isotropic hardening of material and von Mises yield criteria, being considered only monotonic loading and the kinematics of small displacements and small deformations. The focus herein is to enlighten any possible advantage of smoothness in the presence of plastification phenomena, seeking for improvements in capturing the evolution of the process zone. |
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Latin American journal of solids and structures (Online) |
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Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined PlasticityGeneralized Finite Element Methodsmooth GFEM-based approximationstwo-dimensional elastoplasticityconvergence analysisprocess zone evolutionAbstractFor many practical applications in engineering, a complex structure shows linear elastic behavior over almost all its extension, but exhibits confined plasticity contained in some small critical regions, e.g. stress concentrations in fillets and sharp internal corners. The behavior of C0- and Ck-GFEM is investigated in this class of problems. The first goal of this study is to verify the actual formulation of the Ck-GFEM for two-dimensional elastoplasticity, as a modification of the C0-GFEM formulation. The Ck-GFEM is based on a set of basis functions with Ck continuity over the domain. The approximation functions are constructed from a Ck continuous partition of unity, over which polynomial enrichment functions (or any special function) can be applied, in the same fashion as in the usual C0-GFEM. In this way, the finite element approximations show continuous responses for both displacements and stresses across inter-element interfaces. An investigation is performed to assess the behavior of higher-regularity partitions of unity against conventional C0 counterparts. The irreversible response and hardening effects of the material is represented by the rate independent J2 plasticity theory with linear isotropic hardening of material and von Mises yield criteria, being considered only monotonic loading and the kinematics of small displacements and small deformations. The focus herein is to enlighten any possible advantage of smoothness in the presence of plastification phenomena, seeking for improvements in capturing the evolution of the process zone.Associação Brasileira de Ciências Mecânicas2015-05-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000500861Latin American Journal of Solids and Structures v.12 n.5 2015reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78251262info:eu-repo/semantics/openAccessFreitas,AndresaTorres,Diego Amadeu F.Mendonça,Paulo de Tarso R. deBarcellos,Clovis Sperb deeng2015-09-28T00:00:00Zoai:scielo:S1679-78252015000500861Revistahttp://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:2015-09-28T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity |
title |
Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity |
spellingShingle |
Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity Freitas,Andresa Generalized Finite Element Method smooth GFEM-based approximations two-dimensional elastoplasticity convergence analysis process zone evolution |
title_short |
Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity |
title_full |
Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity |
title_fullStr |
Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity |
title_full_unstemmed |
Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity |
title_sort |
Comparative Analysis of Ck- and C0-GFEM Applied to Two-dimensional Problems of Confined Plasticity |
author |
Freitas,Andresa |
author_facet |
Freitas,Andresa Torres,Diego Amadeu F. Mendonça,Paulo de Tarso R. de Barcellos,Clovis Sperb de |
author_role |
author |
author2 |
Torres,Diego Amadeu F. Mendonça,Paulo de Tarso R. de Barcellos,Clovis Sperb de |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Freitas,Andresa Torres,Diego Amadeu F. Mendonça,Paulo de Tarso R. de Barcellos,Clovis Sperb de |
dc.subject.por.fl_str_mv |
Generalized Finite Element Method smooth GFEM-based approximations two-dimensional elastoplasticity convergence analysis process zone evolution |
topic |
Generalized Finite Element Method smooth GFEM-based approximations two-dimensional elastoplasticity convergence analysis process zone evolution |
description |
AbstractFor many practical applications in engineering, a complex structure shows linear elastic behavior over almost all its extension, but exhibits confined plasticity contained in some small critical regions, e.g. stress concentrations in fillets and sharp internal corners. The behavior of C0- and Ck-GFEM is investigated in this class of problems. The first goal of this study is to verify the actual formulation of the Ck-GFEM for two-dimensional elastoplasticity, as a modification of the C0-GFEM formulation. The Ck-GFEM is based on a set of basis functions with Ck continuity over the domain. The approximation functions are constructed from a Ck continuous partition of unity, over which polynomial enrichment functions (or any special function) can be applied, in the same fashion as in the usual C0-GFEM. In this way, the finite element approximations show continuous responses for both displacements and stresses across inter-element interfaces. An investigation is performed to assess the behavior of higher-regularity partitions of unity against conventional C0 counterparts. The irreversible response and hardening effects of the material is represented by the rate independent J2 plasticity theory with linear isotropic hardening of material and von Mises yield criteria, being considered only monotonic loading and the kinematics of small displacements and small deformations. The focus herein is to enlighten any possible advantage of smoothness in the presence of plastification phenomena, seeking for improvements in capturing the evolution of the process zone. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-05-01 |
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=S1679-78252015000500861 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000500861 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78251262 |
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.12 n.5 2015 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_ |
1754302887996948480 |