Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals

Detalhes bibliográficos
Autor(a) principal: Legoll,Frédéric
Data de Publicação: 2004
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200011
Resumo: In this article, we numerically determine the effective stress-strain relation of some two-dimensional polycrystals. These are aggregates of a few tens of perfectly bonded single-crystal (hexagonal atomic lattice) grains, with varying orientations. Each grain obeys a given nonlinear viscoplastic stress-strain relation, which depends on the orientation of the grain. Precise calculations performed with this microscopic model are compared with calculations done with a macroscopic approximate model (in which matter has no microstructure) in order to determine the macroscopic constitutive law. We find an effective behaviour for the stationary response which appears to be also consistent for the transient response. The influence of the number of grains as well as that of the distribution of grain orientations are investigated.
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spelling Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystalsnumerical homogenizationpolycrystaleffective constitutive lawfinite element methodIn this article, we numerically determine the effective stress-strain relation of some two-dimensional polycrystals. These are aggregates of a few tens of perfectly bonded single-crystal (hexagonal atomic lattice) grains, with varying orientations. Each grain obeys a given nonlinear viscoplastic stress-strain relation, which depends on the orientation of the grain. Precise calculations performed with this microscopic model are compared with calculations done with a macroscopic approximate model (in which matter has no microstructure) in order to determine the macroscopic constitutive law. We find an effective behaviour for the stationary response which appears to be also consistent for the transient response. The influence of the number of grains as well as that of the distribution of grain orientations are investigated.Sociedade Brasileira de Matemática Aplicada e Computacional2004-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200011Computational & Applied Mathematics v.23 n.2-3 2004reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessLegoll,Frédériceng2005-07-11T00:00:00Zoai:scielo:S1807-03022004000200011Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2005-07-11T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
title Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
spellingShingle Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
Legoll,Frédéric
numerical homogenization
polycrystal
effective constitutive law
finite element method
title_short Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
title_full Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
title_fullStr Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
title_full_unstemmed Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
title_sort Numerical homogenization of nonlinear viscoplastic two-dimensional polycrystals
author Legoll,Frédéric
author_facet Legoll,Frédéric
author_role author
dc.contributor.author.fl_str_mv Legoll,Frédéric
dc.subject.por.fl_str_mv numerical homogenization
polycrystal
effective constitutive law
finite element method
topic numerical homogenization
polycrystal
effective constitutive law
finite element method
description In this article, we numerically determine the effective stress-strain relation of some two-dimensional polycrystals. These are aggregates of a few tens of perfectly bonded single-crystal (hexagonal atomic lattice) grains, with varying orientations. Each grain obeys a given nonlinear viscoplastic stress-strain relation, which depends on the orientation of the grain. Precise calculations performed with this microscopic model are compared with calculations done with a macroscopic approximate model (in which matter has no microstructure) in order to determine the macroscopic constitutive law. We find an effective behaviour for the stationary response which appears to be also consistent for the transient response. The influence of the number of grains as well as that of the distribution of grain orientations are investigated.
publishDate 2004
dc.date.none.fl_str_mv 2004-12-01
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=S1807-03022004000200011
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200011
dc.language.iso.fl_str_mv eng
language eng
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 Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.23 n.2-3 2004
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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