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dc.contributor.authorPérez Foguet, Agustí
dc.contributor.authorRodríguez Ferran, Antonio
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2015-02-16T09:16:20Z
dc.date.available2015-02-16T09:16:20Z
dc.date.created2000
dc.date.issued2000
dc.identifier.citationPérez-Foguet, A.; Rodriguez, A.; Huerta, A. Numerical differentiation for local and global tangent operators in computational plasticity. "Computer methods in applied mechanics and engineering", 2000, vol. 189, p. 277-296.
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/2117/26356
dc.description.abstractIn this paper, numerical di¿erentiation is applied to integrate plastic constitutive laws and to compute the corresponding consistent tangent operators. The derivatives of the constitutive equations are approximated by means of di¿erence schemes. These derivatives are needed to achieve quadratic convergence in the integration at Gauss-point level and in the solution of the boundary value problem. Numerical di¿erentiation is shown to be a simple, robust and competitive alternative to analytical derivatives. Quadratic convergence is maintained, provided that adequate schemes and stepsizes are chosen. This point is illustrated by means of some numerical examples.
dc.format.extent20 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres
dc.subject.lcshNumber theory
dc.subject.otherFinite element method
dc.subject.otherConsistent tangent operators
dc.subject.otherNumerical differentiation
dc.subject.otherDifference schemes
dc.subject.otherQuadratic convergence
dc.titleNumerical differentiation for local and global tangent operators in computational plasticity
dc.typeArticle
dc.subject.lemacNombres, Teoria dels
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Centre Específic de Recerca de Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
drac.iddocument15404036
dc.description.versionPostprint (published version)
upcommons.citation.authorPérez-Foguet, A.; Rodriguez, A.; Huerta, A.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameComputer methods in applied mechanics and engineering
upcommons.citation.volume189
upcommons.citation.startingPage277
upcommons.citation.endingPage296


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