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dc.contributor.authorOliver, Jose
dc.contributor.authorHuespe, Alfredo Edmundo
dc.contributor.authorCante Terán, Juan Carlos
dc.contributor.authorDíaz, G.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.date.accessioned2010-05-19T11:34:55Z
dc.date.available2010-05-19T11:34:55Z
dc.date.created2010
dc.date.issued2010
dc.identifier.citationOliver, J. [et al.]. On the numerical resolution of the discontinuous material bifurcation problem. "International journal for numerical methods in engineering", 2010.
dc.identifier.issn0029-5981
dc.identifier.urihttp://hdl.handle.net/2117/7319
dc.description.abstractThe 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.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshNumerical methods and algorithms
dc.titleOn the numerical resolution of the discontinuous material bifurcation problem
dc.typeArticle
dc.subject.lemacAlgorismes numèrics
dc.contributor.groupUniversitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
dc.identifier.doi10.1002/nme.2870
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac2519091
dc.description.versionPostprint (published version)
local.citation.authorOliver, J.; Huespe, A.; Cante, J.; Díaz, G.
local.citation.publicationNameInternational journal for numerical methods in engineering


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