Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation

This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The...

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Detalles Bibliográficos
Autores: Cervera Ruiz, Miguel|||0000-0003-3437-6703, Chiumenti, Michele|||0000-0002-6286-7393, Codina, Ramon|||0000-0002-7412-778X
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/3030
Acceso en línea:https://hdl.handle.net/2117/3030
Access Level:acceso abierto
Palabra clave:Finite element method
Solid mechanics and its applications
Mixed finite element interpolations
Stabilization methods
Orthogonal sub-grid scales
Nonlinear solid mechanics
Mètode dels elements finits
Mecànica dels sòlids
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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spelling Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: FormulationCervera Ruiz, Miguel|||0000-0003-3437-6703Chiumenti, Michele|||0000-0002-6286-7393Codina, Ramon|||0000-0002-7412-778XFinite element methodSolid mechanics and its applicationsMixed finite element interpolationsStabilization methodsOrthogonal sub-grid scalesNonlinear solid mechanicsMètode dels elements finitsMecànica dels sòlidsÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructuresÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsThis paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The proposed procedure is very general, applicable to 2D and 3D problems and independent of the constitutive equation considered. Implementation and computational aspects are also discussed, showing that a robust application of the proposed formulation is feasible. Numerical examples show that the results obtained compare favourably with those obtained with the corresponding irreducible formulation.20092009-07-2220092009-08-19journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/3030reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/30302026-05-27T15:37:01Z
dc.title.none.fl_str_mv Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation
title Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation
spellingShingle Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation
Cervera Ruiz, Miguel|||0000-0003-3437-6703
Finite element method
Solid mechanics and its applications
Mixed finite element interpolations
Stabilization methods
Orthogonal sub-grid scales
Nonlinear solid mechanics
Mètode dels elements finits
Mecànica dels sòlids
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation
title_full Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation
title_fullStr Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation
title_full_unstemmed Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation
title_sort Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part I: Formulation
dc.creator.none.fl_str_mv Cervera Ruiz, Miguel|||0000-0003-3437-6703
Chiumenti, Michele|||0000-0002-6286-7393
Codina, Ramon|||0000-0002-7412-778X
author Cervera Ruiz, Miguel|||0000-0003-3437-6703
author_facet Cervera Ruiz, Miguel|||0000-0003-3437-6703
Chiumenti, Michele|||0000-0002-6286-7393
Codina, Ramon|||0000-0002-7412-778X
author_role author
author2 Chiumenti, Michele|||0000-0002-6286-7393
Codina, Ramon|||0000-0002-7412-778X
author2_role author
author
dc.subject.none.fl_str_mv Finite element method
Solid mechanics and its applications
Mixed finite element interpolations
Stabilization methods
Orthogonal sub-grid scales
Nonlinear solid mechanics
Mètode dels elements finits
Mecànica dels sòlids
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Finite element method
Solid mechanics and its applications
Mixed finite element interpolations
Stabilization methods
Orthogonal sub-grid scales
Nonlinear solid mechanics
Mètode dels elements finits
Mecànica dels sòlids
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The proposed procedure is very general, applicable to 2D and 3D problems and independent of the constitutive equation considered. Implementation and computational aspects are also discussed, showing that a robust application of the proposed formulation is feasible. Numerical examples show that the results obtained compare favourably with those obtained with the corresponding irreducible formulation.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-07-22
2009
2009-08-19
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/3030
url https://hdl.handle.net/2117/3030
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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