Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials

Detalhes bibliográficos
Autor(a) principal: Areias, P.
Data de Publicação: 2008
Outros Autores: Matou, K.
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/6652
Resumo: Non-linear hyperelastic response of reinforced elastomers is modeled using a novel three-dimensional mixed finite element method with a nonlocal pressure field. The element is unconditionally convergent and free of spurious pressure modes. Nonlocal pressure is obtained by an implicit gradient technique and obeys the Helmholtz equation. Physical motivation for this nonlocality is shown. An implicit finite element scheme with consistent linearization is presented. Finally, several hyperelastic examples are solved to demonstrate the computational algorithm including the inf–sup and verifications tests
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spelling Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materialsNon-linear hyperelastic response of reinforced elastomers is modeled using a novel three-dimensional mixed finite element method with a nonlocal pressure field. The element is unconditionally convergent and free of spurious pressure modes. Nonlocal pressure is obtained by an implicit gradient technique and obeys the Helmholtz equation. Physical motivation for this nonlocality is shown. An implicit finite element scheme with consistent linearization is presented. Finally, several hyperelastic examples are solved to demonstrate the computational algorithm including the inf–sup and verifications testsWiley2012-12-07T16:05:06Z2012-12-072008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/6652http://hdl.handle.net/10174/6652porpmaa@uevora.ptndAreias, P.Matou, K.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:46:18Zoai:dspace.uevora.pt:10174/6652Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:01:24.646548Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
title Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
spellingShingle Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
Areias, P.
title_short Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
title_full Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
title_fullStr Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
title_full_unstemmed Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
title_sort Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
author Areias, P.
author_facet Areias, P.
Matou, K.
author_role author
author2 Matou, K.
author2_role author
dc.contributor.author.fl_str_mv Areias, P.
Matou, K.
description Non-linear hyperelastic response of reinforced elastomers is modeled using a novel three-dimensional mixed finite element method with a nonlocal pressure field. The element is unconditionally convergent and free of spurious pressure modes. Nonlocal pressure is obtained by an implicit gradient technique and obeys the Helmholtz equation. Physical motivation for this nonlocality is shown. An implicit finite element scheme with consistent linearization is presented. Finally, several hyperelastic examples are solved to demonstrate the computational algorithm including the inf–sup and verifications tests
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01T00:00:00Z
2012-12-07T16:05:06Z
2012-12-07
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/6652
http://hdl.handle.net/10174/6652
url http://hdl.handle.net/10174/6652
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv pmaa@uevora.pt
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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