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: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/237302 |
Resumo: | 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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Stumpf, Felipe TempelMarczak, Rogerio Jose2022-04-15T04:43:00Z20211679-7825http://hdl.handle.net/10183/237302001138991The 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.application/pdfengLatin american journal of solids and structures [recurso eletrônico]. Rio de Janeiro, RJ. Vol. 18, no. 1 (2021), Art. e346, 17 p.ElasticidadeElementos finitosHyperelasticityBaker-Ericksen inequalitiesConstitutive frameworkFinite element methodConstitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/otherinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT001138991.pdf.txt001138991.pdf.txtExtracted Texttext/plain50158http://www.lume.ufrgs.br/bitstream/10183/237302/2/001138991.pdf.txt6c6514a3651f4211e404949e0b806417MD52ORIGINAL001138991.pdfTexto completo (inglês)application/pdf1252390http://www.lume.ufrgs.br/bitstream/10183/237302/1/001138991.pdfc008c3a28b883652256b431a7fe42541MD5110183/2373022022-04-20 04:48:25.506067oai:www.lume.ufrgs.br:10183/237302Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2022-04-20T07:48:25Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.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 Elasticidade Elementos finitos 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, Rogerio Jose |
author_role |
author |
author2 |
Marczak, Rogerio Jose |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Stumpf, Felipe Tempel Marczak, Rogerio Jose |
dc.subject.por.fl_str_mv |
Elasticidade Elementos finitos |
topic |
Elasticidade Elementos finitos Hyperelasticity Baker-Ericksen inequalities Constitutive framework Finite element method |
dc.subject.eng.fl_str_mv |
Hyperelasticity Baker-Ericksen inequalities Constitutive framework Finite element method |
description |
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.issued.fl_str_mv |
2021 |
dc.date.accessioned.fl_str_mv |
2022-04-15T04:43:00Z |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/other |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/237302 |
dc.identifier.issn.pt_BR.fl_str_mv |
1679-7825 |
dc.identifier.nrb.pt_BR.fl_str_mv |
001138991 |
identifier_str_mv |
1679-7825 001138991 |
url |
http://hdl.handle.net/10183/237302 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Latin american journal of solids and structures [recurso eletrônico]. Rio de Janeiro, RJ. Vol. 18, no. 1 (2021), Art. e346, 17 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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reponame:Repositório Institucional da UFRGS instname:Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
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Repositório Institucional da UFRGS |
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Repositório Institucional da UFRGS |
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