On a continuum theory of brittle materials with microstructure
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | |
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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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 |
format |
article |
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) instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) |
instacron_str |
SBMAC |
institution |
SBMAC |
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 |
_version_ |
1754734889713795072 |