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dc.contributor.authorChiumenti, Michele
dc.contributor.authorCervera Ruiz, Miguel
dc.contributor.authorFilho, Carlos Augusto Moreira
dc.contributor.authorBarbat Vlad, Gabriel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Enginyeria Civil
dc.identifier.citationChiumenti, M. [et al.]. Stress, strain and dissipation accurate 3-field formulation for inelastic isochoric deformation. "Finite elements in analysis and design", Setembre 2021, vol. 192, p. 103534:1.
dc.description.abstractThis work exploits the high accuracy of the mixed 3-field u/e/p formulation to address materially non-linear inelastic problems including isochoric deformations. Motivated by the strain-driven format of several constitutive equations used in FEA, the mixed u/s/p formulation is reinterpreted, selecting the deviatoric strains as primary variables, together with the displacements and the pressure field. The mixed formulation is complemented with several constitutive equations suitable for Solid and Fluid Mechanics. The convergence rate upon mesh refinement, as well as the enhanced accuracy of the stress and strain fields is proven in several non-linear problems with isochoric deformation in both the elastic and the inelastic ranges. 2D and 3D problems involving different FE discretizations are solved with J2-plasticity, J2-damage and Bingham models, all of them including strain localization. Numerical results show that perfectly convergent and mesh-independent results are achieved in terms of peak load, failure mechanism, stress release and energy dissipation. Revealing comparison with the u/p formulation is also addressed.
dc.description.sponsorshipThe financial support from the Spanish Ministry of Economy and Competitiveness, through the Severo Ochoa Programme for Centres of Excellence in R&D (CEX2018-000797-S), is gratefully acknowledged. The authors also acknowledge the financial support provided by the Spanish Ministry of Economy via the ADaMANT project (DPI2017-85998-P): Computational Framework for Additive Manufacturing of Titanium Alloy, as well as the support provided by the Spanish Ministry of Education to Mr. Gabriel Barbat via the FPU program.
dc.rights© 2019. Elsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.subjectÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshStrains and stresses--Mathematical models
dc.subject.otherStress accurate
dc.subject.otherIncompressible limit
dc.subject.otherMixed three-field finite element technology
dc.subject.otherVariational multi scale (VMS) stabilization
dc.titleStress, strain and dissipation accurate 3-field formulation for inelastic isochoric deformation
dc.subject.lemacEsforç i tensió -- Mètodes numèrics
dc.contributor.groupUniversitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
local.citation.authorChiumenti, M.; Cervera, M.; Moreira, C.A.; Barbat, G. B.
local.citation.publicationNameFinite elements in analysis and design

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