On the numerical resolution of the discontinuous material bifurcation problem

Autores
Oliver, J.; Huespe, Alfredo Edmundo; Cante, J. C,; Diaz, G.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The work focuses on the numerical resolution of the discontinuous material bifurcation problem as a relevant ingredient in computational material failure mechanics. The problem consists of finding the conditions for the strain localization onset in terms of the so-called bifurcation time, localization directions and localization modes. A numerical algorithm, based on the iterative resolution of a coupled eigenvalue problem in terms of the localization tensor, is proposed for such purpose. The algorithm is shown to be always convergent to the exact solution for the symmetric case (major and minor symmetries of the tangent constitutive operator). In the unsymmetric case (only minor symmetries), the solution is no longer exact, although it is shown that using the symmetric part of the localization tensor in the proposed algorithms provides enough accurate solutions for most of cases. Numerical examples illustrate the benefits of the proposed methodology in terms of accuracy and savings in the computational cost associated with the problem.
Fil: Oliver, J.. Universidad Politecnica de Catalunya; España
Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
Fil: Cante, J. C,. Universidad Politecnica de Catalunya; España
Fil: Diaz, G.. Universidad Politecnica de Catalunya; España
Materia
Computational Material Failure
Discontinuous Material Bifurcation
Strain Localization
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:11336/13753

id CONICETDig_5ff7ce28dfde8a94c701bf148a495add
oai_identifier_str oai:ri.conicet.gov.ar:11336/13753
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the numerical resolution of the discontinuous material bifurcation problemOliver, J.Huespe, Alfredo EdmundoCante, J. C,Diaz, G.Computational Material FailureDiscontinuous Material BifurcationStrain Localizationhttps://purl.org/becyt/ford/2.5https://purl.org/becyt/ford/2The work focuses on the numerical resolution of the discontinuous material bifurcation problem as a relevant ingredient in computational material failure mechanics. The problem consists of finding the conditions for the strain localization onset in terms of the so-called bifurcation time, localization directions and localization modes. A numerical algorithm, based on the iterative resolution of a coupled eigenvalue problem in terms of the localization tensor, is proposed for such purpose. The algorithm is shown to be always convergent to the exact solution for the symmetric case (major and minor symmetries of the tangent constitutive operator). In the unsymmetric case (only minor symmetries), the solution is no longer exact, although it is shown that using the symmetric part of the localization tensor in the proposed algorithms provides enough accurate solutions for most of cases. Numerical examples illustrate the benefits of the proposed methodology in terms of accuracy and savings in the computational cost associated with the problem.Fil: Oliver, J.. Universidad Politecnica de Catalunya; EspañaFil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); ArgentinaFil: Cante, J. C,. Universidad Politecnica de Catalunya; EspañaFil: Diaz, G.. Universidad Politecnica de Catalunya; EspañaWiley2010-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/13753Oliver, J.; Huespe, Alfredo Edmundo; Cante, J. C,; Diaz, G.; On the numerical resolution of the discontinuous material bifurcation problem; Wiley; International Journal For Numerical Methods In Engineering; 83; 6; 8-2010; 786-8040029-5981enginfo:eu-repo/semantics/altIdentifier/doi/10.1002/nme.2870info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/nme.2870/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 Técnicas2025-09-29T10:04:41Zoai:ri.conicet.gov.ar:11336/13753instacron: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 10:04:41.967CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the numerical resolution of the discontinuous material bifurcation problem
title On the numerical resolution of the discontinuous material bifurcation problem
spellingShingle On the numerical resolution of the discontinuous material bifurcation problem
Oliver, J.
Computational Material Failure
Discontinuous Material Bifurcation
Strain Localization
title_short On the numerical resolution of the discontinuous material bifurcation problem
title_full On the numerical resolution of the discontinuous material bifurcation problem
title_fullStr On the numerical resolution of the discontinuous material bifurcation problem
title_full_unstemmed On the numerical resolution of the discontinuous material bifurcation problem
title_sort On the numerical resolution of the discontinuous material bifurcation problem
dc.creator.none.fl_str_mv Oliver, J.
Huespe, Alfredo Edmundo
Cante, J. C,
Diaz, G.
author Oliver, J.
author_facet Oliver, J.
Huespe, Alfredo Edmundo
Cante, J. C,
Diaz, G.
author_role author
author2 Huespe, Alfredo Edmundo
Cante, J. C,
Diaz, G.
author2_role author
author
author
dc.subject.none.fl_str_mv Computational Material Failure
Discontinuous Material Bifurcation
Strain Localization
topic Computational Material Failure
Discontinuous Material Bifurcation
Strain Localization
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.5
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The work focuses on the numerical resolution of the discontinuous material bifurcation problem as a relevant ingredient in computational material failure mechanics. The problem consists of finding the conditions for the strain localization onset in terms of the so-called bifurcation time, localization directions and localization modes. A numerical algorithm, based on the iterative resolution of a coupled eigenvalue problem in terms of the localization tensor, is proposed for such purpose. The algorithm is shown to be always convergent to the exact solution for the symmetric case (major and minor symmetries of the tangent constitutive operator). In the unsymmetric case (only minor symmetries), the solution is no longer exact, although it is shown that using the symmetric part of the localization tensor in the proposed algorithms provides enough accurate solutions for most of cases. Numerical examples illustrate the benefits of the proposed methodology in terms of accuracy and savings in the computational cost associated with the problem.
Fil: Oliver, J.. Universidad Politecnica de Catalunya; España
Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
Fil: Cante, J. C,. Universidad Politecnica de Catalunya; España
Fil: Diaz, G.. Universidad Politecnica de Catalunya; España
description The work focuses on the numerical resolution of the discontinuous material bifurcation problem as a relevant ingredient in computational material failure mechanics. The problem consists of finding the conditions for the strain localization onset in terms of the so-called bifurcation time, localization directions and localization modes. A numerical algorithm, based on the iterative resolution of a coupled eigenvalue problem in terms of the localization tensor, is proposed for such purpose. The algorithm is shown to be always convergent to the exact solution for the symmetric case (major and minor symmetries of the tangent constitutive operator). In the unsymmetric case (only minor symmetries), the solution is no longer exact, although it is shown that using the symmetric part of the localization tensor in the proposed algorithms provides enough accurate solutions for most of cases. Numerical examples illustrate the benefits of the proposed methodology in terms of accuracy and savings in the computational cost associated with the problem.
publishDate 2010
dc.date.none.fl_str_mv 2010-08
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/11336/13753
Oliver, J.; Huespe, Alfredo Edmundo; Cante, J. C,; Diaz, G.; On the numerical resolution of the discontinuous material bifurcation problem; Wiley; International Journal For Numerical Methods In Engineering; 83; 6; 8-2010; 786-804
0029-5981
url http://hdl.handle.net/11336/13753
identifier_str_mv Oliver, J.; Huespe, Alfredo Edmundo; Cante, J. C,; Diaz, G.; On the numerical resolution of the discontinuous material bifurcation problem; Wiley; International Journal For Numerical Methods In Engineering; 83; 6; 8-2010; 786-804
0029-5981
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/nme.2870
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/nme.2870/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
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
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
_version_ 1844613875488522240
score 13.070432