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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/13753
Ver los metadatos del registro completo
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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 |
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13.070432 |