Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems

Autores
Sánchez, Pablo Javier; Sonzogni, Victorio Enrique; Huespe, Alfredo Edmundo
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The numerical performance of a stabilized mixed finite-element formulation based on the pressuregradient- projection method (PGP) using equal-order (linear) interpolation is evaluated by solving solid mechanics problems, such as structural limit load determination and strain localization modelling. All of them present incompressibility kinematical constraints induced by the constitutive behaviour. This work is specially devised to obtain critical conclusions about the use of PGP model when the mechanical response is governed by strain-softening macroscopic mechanisms. In this context, we report some detected limitations in the present formulation due to the existence of pathological mesh bias dependence once the strain localization process becomes dominant, and linear kinematics is used. An additional contribution is the numerical comparative analysis of two different strategies, for solving the complete linear equation system, addressed to a finite-element parallel code. The numerical results are compared with the standard Galerkin formulation and with an alternative stabilized mixed finite-element procedure (pressure stabilizing Petrov–Galerkin scheme).
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Sonzogni, Victorio Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Materia
Mixed Finite Elements
Stabilized Formulation
Strain Softening
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/25392
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/25392
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problemsSánchez, Pablo JavierSonzogni, Victorio EnriqueHuespe, Alfredo EdmundoMixed Finite ElementsStabilized FormulationStrain SofteningThe numerical performance of a stabilized mixed finite-element formulation based on the pressuregradient- projection method (PGP) using equal-order (linear) interpolation is evaluated by solving solid mechanics problems, such as structural limit load determination and strain localization modelling. All of them present incompressibility kinematical constraints induced by the constitutive behaviour. This work is specially devised to obtain critical conclusions about the use of PGP model when the mechanical response is governed by strain-softening macroscopic mechanisms. In this context, we report some detected limitations in the present formulation due to the existence of pathological mesh bias dependence once the strain localization process becomes dominant, and linear kinematics is used. An additional contribution is the numerical comparative analysis of two different strategies, for solving the complete linear equation system, addressed to a finite-element parallel code. The numerical results are compared with the standard Galerkin formulation and with an alternative stabilized mixed finite-element procedure (pressure stabilizing Petrov–Galerkin scheme).Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Sonzogni, Victorio Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaJohn Wiley & Sons Ltd2008-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/25392Sánchez, Pablo Javier; Sonzogni, Victorio Enrique; Huespe, Alfredo Edmundo; Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems; John Wiley & Sons Ltd; Communications In Numerical Methods In Engineering; 24; 4; 12-2008; 297-3201069-8299CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1002/cnm.969info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/cnm.969/abstractinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:16:07Zoai:ri.conicet.gov.ar:11336/25392instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:16:07.607CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems
title Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems
spellingShingle Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems
Sánchez, Pablo Javier
Mixed Finite Elements
Stabilized Formulation
Strain Softening
title_short Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems
title_full Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems
title_fullStr Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems
title_full_unstemmed Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems
title_sort Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems
dc.creator.none.fl_str_mv Sánchez, Pablo Javier
Sonzogni, Victorio Enrique
Huespe, Alfredo Edmundo
author Sánchez, Pablo Javier
author_facet Sánchez, Pablo Javier
Sonzogni, Victorio Enrique
Huespe, Alfredo Edmundo
author_role author
author2 Sonzogni, Victorio Enrique
Huespe, Alfredo Edmundo
author2_role author
author
dc.subject.none.fl_str_mv Mixed Finite Elements
Stabilized Formulation
Strain Softening
topic Mixed Finite Elements
Stabilized Formulation
Strain Softening
dc.description.none.fl_txt_mv The numerical performance of a stabilized mixed finite-element formulation based on the pressuregradient- projection method (PGP) using equal-order (linear) interpolation is evaluated by solving solid mechanics problems, such as structural limit load determination and strain localization modelling. All of them present incompressibility kinematical constraints induced by the constitutive behaviour. This work is specially devised to obtain critical conclusions about the use of PGP model when the mechanical response is governed by strain-softening macroscopic mechanisms. In this context, we report some detected limitations in the present formulation due to the existence of pathological mesh bias dependence once the strain localization process becomes dominant, and linear kinematics is used. An additional contribution is the numerical comparative analysis of two different strategies, for solving the complete linear equation system, addressed to a finite-element parallel code. The numerical results are compared with the standard Galerkin formulation and with an alternative stabilized mixed finite-element procedure (pressure stabilizing Petrov–Galerkin scheme).
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Sonzogni, Victorio Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
description The numerical performance of a stabilized mixed finite-element formulation based on the pressuregradient- projection method (PGP) using equal-order (linear) interpolation is evaluated by solving solid mechanics problems, such as structural limit load determination and strain localization modelling. All of them present incompressibility kinematical constraints induced by the constitutive behaviour. This work is specially devised to obtain critical conclusions about the use of PGP model when the mechanical response is governed by strain-softening macroscopic mechanisms. In this context, we report some detected limitations in the present formulation due to the existence of pathological mesh bias dependence once the strain localization process becomes dominant, and linear kinematics is used. An additional contribution is the numerical comparative analysis of two different strategies, for solving the complete linear equation system, addressed to a finite-element parallel code. The numerical results are compared with the standard Galerkin formulation and with an alternative stabilized mixed finite-element procedure (pressure stabilizing Petrov–Galerkin scheme).
publishDate 2008
dc.date.none.fl_str_mv 2008-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/25392
Sánchez, Pablo Javier; Sonzogni, Victorio Enrique; Huespe, Alfredo Edmundo; Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems; John Wiley & Sons Ltd; Communications In Numerical Methods In Engineering; 24; 4; 12-2008; 297-320
1069-8299
CONICET Digital
CONICET
url http://hdl.handle.net/11336/25392
identifier_str_mv Sánchez, Pablo Javier; Sonzogni, Victorio Enrique; Huespe, Alfredo Edmundo; Study of a stabilized mixed finite element with emphasis on its numerical performance for strain localization problems; John Wiley & Sons Ltd; Communications In Numerical Methods In Engineering; 24; 4; 12-2008; 297-320
1069-8299
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/cnm.969
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/cnm.969/abstract
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv John Wiley & Sons Ltd
publisher.none.fl_str_mv John Wiley & Sons Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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