Reuleaux plasticity: analytical backward Euler stress integration and consistent tangent

DOI10.1016/j.cma.2010.01.017zbMath1231.74054OpenAlexW2052722851MaRDI QIDQ658777

Roger S. Crouch, William M. Coombs, Charles E. Augarde

Publication date: 8 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/6756/1/6756.pdf

zbMATH Keywords

computational plasticityanalytical stress returnclosest point projectionconsistent tangentenergy-mapped stress space

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) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (11)

The mixed complementarity problem arising from non-associative plasticity with non-smooth yield surfaces ⋮ Accurate and approximate integrations of Drucker-Prager plasticity with linear isotropic and kinematic hardening ⋮ A novel formulation for integrating nonlinear kinematic hardening Drucker-Prager's yield condition ⋮ NURBS plasticity: yield surface representation and implicit stress integration for isotropic inelasticity ⋮ Rapid non-linear finite element analysis of continuous and discontinuous Galerkin methods in MATLAB ⋮ Non-associated reuleaux plasticity: analytical stress integration and consistent tangent for finite deformation mechanics ⋮ Algorithmic issues for three-invariant hyperplastic critical state models ⋮ NURBS plasticity: non-associated plastic flow ⋮ Computational plasticity of mixed hardening pressure-dependency constitutive equations ⋮ Stress-update algorithms for Bigoni-Piccolroaz yield criterion coupled with a generalized function of kinematic hardening laws ⋮ NURBS plasticity: yield surface evolution and implicit stress integration for isotropic hardening

Uses Software

• HYPLAS

Cites Work

• Analytical CPP in energy-mapped stress space: application to a modified Drucker-Prager yield surface
• Computational inelasticity
• Efficient return algorithms for associated plasticity with multiple yield planes
• Improved explicit integration in plasticity
• A general purpose system for finite element analyses in parallel

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