Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation
Autor(a) principal: | |
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Data de Publicação: | 2021 |
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=S1679-78252021000200503 |
Resumo: | Abstract The strain energy function of hyperelastic material models must fulfill some mathematical conditions to satisfy requirements such as numerical stability and physically plausible mechanical behavior. In the framework of computer simulations with Newton-type methods, numerical stability is assured by the positive definiteness of the tangent operator. The Baker-Ericksen inequalities, on the other hand, are sufficient and necessary conditions in order to guarantee that the material behaves in a physically plausible way, although they are rarely taken into account during parameter identification. The present work proposes a modification in the strain energy function of a previously developed model for isotropic rubber-like materials. The new expression for W allows the satisfaction of both of the aforementioned requirements. The complete constitutive framework for its implementation in a Finite Element code is provided. Representative examples are analyzed and to show the superior performance when compared to well-known models found in the specialized literature both for homogeneous and non-homogeneous cases of deformation. |
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Latin American journal of solids and structures (Online) |
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Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementationHyperelasticityBaker-Ericksen inequalitiesConstitutive frameworkFinite Element MethodAbstract The strain energy function of hyperelastic material models must fulfill some mathematical conditions to satisfy requirements such as numerical stability and physically plausible mechanical behavior. In the framework of computer simulations with Newton-type methods, numerical stability is assured by the positive definiteness of the tangent operator. The Baker-Ericksen inequalities, on the other hand, are sufficient and necessary conditions in order to guarantee that the material behaves in a physically plausible way, although they are rarely taken into account during parameter identification. The present work proposes a modification in the strain energy function of a previously developed model for isotropic rubber-like materials. The new expression for W allows the satisfaction of both of the aforementioned requirements. The complete constitutive framework for its implementation in a Finite Element code is provided. Representative examples are analyzed and to show the superior performance when compared to well-known models found in the specialized literature both for homogeneous and non-homogeneous cases of deformation.Associação Brasileira de Ciências Mecânicas2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252021000200503Latin American Journal of Solids and Structures v.18 n.2 2021reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78256349info:eu-repo/semantics/openAccessStumpf,Felipe TempelMarczak,Rogério Joséeng2021-03-10T00:00:00Zoai:scielo:S1679-78252021000200503Revistahttp://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:2021-03-10T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation |
title |
Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation |
spellingShingle |
Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation Stumpf,Felipe Tempel Hyperelasticity Baker-Ericksen inequalities Constitutive framework Finite Element Method |
title_short |
Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation |
title_full |
Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation |
title_fullStr |
Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation |
title_full_unstemmed |
Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation |
title_sort |
Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation |
author |
Stumpf,Felipe Tempel |
author_facet |
Stumpf,Felipe Tempel Marczak,Rogério José |
author_role |
author |
author2 |
Marczak,Rogério José |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Stumpf,Felipe Tempel Marczak,Rogério José |
dc.subject.por.fl_str_mv |
Hyperelasticity Baker-Ericksen inequalities Constitutive framework Finite Element Method |
topic |
Hyperelasticity Baker-Ericksen inequalities Constitutive framework Finite Element Method |
description |
Abstract The strain energy function of hyperelastic material models must fulfill some mathematical conditions to satisfy requirements such as numerical stability and physically plausible mechanical behavior. In the framework of computer simulations with Newton-type methods, numerical stability is assured by the positive definiteness of the tangent operator. The Baker-Ericksen inequalities, on the other hand, are sufficient and necessary conditions in order to guarantee that the material behaves in a physically plausible way, although they are rarely taken into account during parameter identification. The present work proposes a modification in the strain energy function of a previously developed model for isotropic rubber-like materials. The new expression for W allows the satisfaction of both of the aforementioned requirements. The complete constitutive framework for its implementation in a Finite Element code is provided. Representative examples are analyzed and to show the superior performance when compared to well-known models found in the specialized literature both for homogeneous and non-homogeneous cases of deformation. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 |
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=S1679-78252021000200503 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252021000200503 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78256349 |
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.18 n.2 2021 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_ |
1754302890742120448 |