On a continuum theory of brittle materials with microstructure

Detalhes bibliográficos
Autor(a) principal: Duda,Fernando Pereira
Data de Publicação: 2004
Outros Autores: Souza,Angela Cristina Cardoso de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200012
Resumo: This paper deals with a finite strain continuum theory of elastic-brittle solids with microstructure. A single scalar microstructural field is introduced, meant to represent - even if in a summary way - the concentration of microdefects within the material. A system of microforces, dual to the microstructural field, is axiomatically introduced. The corresponding balance, augmented with suitable constitutive information, yields, inter alia, a kinetic equation for the microstructural field, criteria for damage nucleation, growth and healing as well as a failure criterion based on attainment of a critical value of the microstructural field. The theory is applied for the description of the Mullins effect.
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spelling On a continuum theory of brittle materials with microstructurecontinuum mechanicsdamage mechanicsbrittle materialsThis paper deals with a finite strain continuum theory of elastic-brittle solids with microstructure. A single scalar microstructural field is introduced, meant to represent - even if in a summary way - the concentration of microdefects within the material. A system of microforces, dual to the microstructural field, is axiomatically introduced. The corresponding balance, augmented with suitable constitutive information, yields, inter alia, a kinetic equation for the microstructural field, criteria for damage nucleation, growth and healing as well as a failure criterion based on attainment of a critical value of the microstructural field. The theory is applied for the description of the Mullins effect.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=S1807-03022004000200012Computational & Applied Mathematics v.23 n.2-3 2004reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessDuda,Fernando PereiraSouza,Angela Cristina Cardoso deeng2005-07-11T00:00:00Zoai:scielo:S1807-03022004000200012Revistahttps://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 On a continuum theory of brittle materials with microstructure
title On a continuum theory of brittle materials with microstructure
spellingShingle On a continuum theory of brittle materials with microstructure
Duda,Fernando Pereira
continuum mechanics
damage mechanics
brittle materials
title_short On a continuum theory of brittle materials with microstructure
title_full On a continuum theory of brittle materials with microstructure
title_fullStr On a continuum theory of brittle materials with microstructure
title_full_unstemmed On a continuum theory of brittle materials with microstructure
title_sort On a continuum theory of brittle materials with microstructure
author Duda,Fernando Pereira
author_facet Duda,Fernando Pereira
Souza,Angela Cristina Cardoso de
author_role author
author2 Souza,Angela Cristina Cardoso de
author2_role author
dc.contributor.author.fl_str_mv Duda,Fernando Pereira
Souza,Angela Cristina Cardoso de
dc.subject.por.fl_str_mv continuum mechanics
damage mechanics
brittle materials
topic continuum mechanics
damage mechanics
brittle materials
description This paper deals with a finite strain continuum theory of elastic-brittle solids with microstructure. A single scalar microstructural field is introduced, meant to represent - even if in a summary way - the concentration of microdefects within the material. A system of microforces, dual to the microstructural field, is axiomatically introduced. The corresponding balance, augmented with suitable constitutive information, yields, inter alia, a kinetic equation for the microstructural field, criteria for damage nucleation, growth and healing as well as a failure criterion based on attainment of a critical value of the microstructural field. The theory is applied for the description of the Mullins effect.
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
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200012
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200012
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)
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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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