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dc.contributor.authorCervera Ruiz, Miguel
dc.contributor.authorChiumenti, Michèle
dc.contributor.authorBenedetti, Lorenzo
dc.contributor.authorCodina, Ramon
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.date.accessioned2015-04-21T18:13:23Z
dc.date.available2017-03-31T00:30:40Z
dc.date.created2015-03
dc.date.issued2015-03
dc.identifier.citationCervera, M. [et al.]. Mixed stabilized finite element methods in nonlinear solid mechanics. Part III: compressible and incompressible plasticity. "Computer methods in applied mechanics and engineering", Març 2015, vol. 285, p. 752-775.
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/2117/27501
dc.description.abstractThis paper presents the application of a stabilized mixed strain/displacement finite element formulation for the solution of nonlinear solid mechanics problems involving compressible and incompressible plasticity. The variational multiscale stabilization introduced allows the use of equal order interpolations in a consistent way. Such formulation presents two advantages when compared to the standard, displacement based, irreducible formulation: (a) it provides enhanced rate of convergence for the strain (and stress) field and (b) it is able to deal with incompressible situations. The first advantage also applies to the comparison with the mixed pressure/displacement formulation. The paper investigates the effect of the improved strain and stress fields in problems involving strain softening and localization leading to failure, using low order finite elements with continuous strain and displacement fields (P1P1 triangles or tetrahedra and Q1Q1 quadrilaterals, hexahedra, and triangular prisms) in conjunction with an associative frictional Drucker-Prager plastic model. The performance of the strain/displacement formulation under compressible and nearly incompressible deformation patterns is assessed and compared to a previously proposed pressure/displacement formulation. Benchmark numerical examples show the capacity of the mixed formulation to predict correctly failure mechanisms with localized patterns of strain, virtually free from any dependence of the mesh directional bias. No auxiliary crack tracking technique is necessary.
dc.format.extent24 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Física::Física de l’estat sòlid
dc.subjectÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
dc.subject.lcshPlasticity--Mathematical models
dc.subject.otherMixed finite elements
dc.subject.otherStabilization
dc.subject.otherPlasticity
dc.subject.otherStrain softening
dc.subject.otherStrain localization
dc.subject.otherMesh dependence
dc.subject.otherJ2 plasticity
dc.subject.otherplane-stress
dc.subject.otherlocalization
dc.subject.otherelastoplasticity
dc.subject.otherdiscontinuities
dc.subject.otherformulation
dc.subject.otherbifurcation
dc.subject.otherequations
dc.subject.otherstrain
dc.titleMixed stabilized finite element methods in nonlinear solid mechanics. Part III: compressible and incompressible plasticity
dc.typeArticle
dc.subject.lemacPlasticitat -- Mètodes numèrics
dc.contributor.groupUniversitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.contributor.groupUniversitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
dc.contributor.groupUniversitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica
dc.identifier.doi10.1016/j.cma.2014.11.040
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0045782514004733
dc.rights.accessOpen Access
drac.iddocument15519466
dc.description.versionPostprint (author’s final draft)
upcommons.citation.authorCervera, M.; Chiumenti, M.; Benedetti, L.; Codina, R.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameComputer methods in applied mechanics and engineering
upcommons.citation.volume285
upcommons.citation.startingPage752
upcommons.citation.endingPage775


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