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dc.contributor.authorChiumenti, Michèle
dc.contributor.authorCervera Ruiz, Miguel
dc.contributor.authorCodina, Ramon
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.identifier.citationChiumenti, M.; Cervera, M.; Codina, R. A mixed three-field FE formulation for stress accurate analysis including the incompressible limit. "Computer methods in applied mechanics and engineering", Gener 2015, vol. 283, p. 1095-1116.
dc.description.abstractIn previous works, the authors have presented the stabilized mixed displacement/pressure formulation to deal with the incompressibility constraint. More recently, the authors have derived stable mixed stress/displacement formulations using linear/linear interpolations to enhance stress accuracy in both linear and non-linear problems. In both cases, the Variational Multi Scale (VMS) stabilization technique and, in particular, the Orthogonal Subgrid Scale (OSS) method allows the use of linear/linear interpolations for triangular and tetrahedral elements bypassing the strictness of the inf-sup condition on the choice of the interpolation spaces. These stabilization procedures lead to discrete problems which are fully stable, free of volumetric locking or stress oscillations.; This work exploits the concept of mixed finite element methods to formulate stable displacement/stress/pressure finite elements aimed for the solution of nonlinear problems for both solid and fluid finite element (FE) analyses. The final goal is to design a finite element technology able to tackle simultaneously problems which may involve isochoric behavior (preserve the original volume) of the strain field together with high degree of accuracy of the stress field. These two features are crucial in nonlinear solid and fluid mechanics, as used in most numerical simulations of industrial manufacturing processes.; Numerical benchmarks show that the results obtained compare very favorably with those obtained with the corresponding mixed displacement/pressure formulation. (C) 2014 Elsevier B.V. All rights reserved.
dc.format.extent22 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subjectÀrees temàtiques de la UPC::Física::Física de fluids
dc.subjectÀrees temàtiques de la UPC::Física::Física de l’estat sòlid
dc.subject.lcshSolids--Mathematical models
dc.subject.lcshFluids--Mathematical models
dc.subject.lcshFinite element method
dc.subject.otherStress accurate
dc.subject.otherIncompressible limit
dc.subject.otherMixed three-field finite element technology
dc.subject.otherVariational Multi Scale (VMS) stabilization
dc.subject.otherJ2 PLASTICITY
dc.subject.otherLINEAR TRIANGLES
dc.subject.otherSTRAIN METHODS
dc.subject.otherPART I
dc.titleA mixed three-field FE formulation for stress accurate analysis including the incompressible limit
dc.subject.lemacElements finits, Mètode dels
dc.subject.lemacSòlids -- Models matemàtics
dc.subject.lemacFluids -- Models matemàtics
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.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author’s final draft)
upcommons.citation.authorChiumenti, M.; Cervera, M.; Codina, R.
upcommons.citation.publicationNameComputer methods in applied mechanics and engineering

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