Efficiency comparison of an augmented finite element formulation with standard return mapping algorithms for elastic-inelastic materials

DOI10.1007/s00466-011-0602-9zbMath1384.74044OpenAlexW1992605096MaRDI QIDQ659937

Christian Wieners, H.-U. Rempler, Wolfgang Ehlers

Publication date: 24 January 2012

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-011-0602-9

zbMATH Keywords

return mapping algorithmadditional degrees of freedomelasto-viscoplasticityaugmented finite element formulationelastic-inelastic material behaviourfully coupled \(Newton\) methodradial return

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (5)

A projected Newton algorithm for the dual convex program of elastoplasticity ⋮ Elastoplastic analysis of shells without any local iterative calculations by block Newton method ⋮ Introduction of pseudo-stress for local residual and algebraic derivation of consistent tangent in elastoplasticity ⋮ Incrementally objective implicit integration of hypoelastic-viscoplastic constitutive equations based on the mechanical threshold strength model ⋮ A phase-field approach embedded in the theory of porous media for the description of dynamic hydraulic fracturing

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• Nonlinear solution methods for infinitesimal perfect plasticity

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