Non-associated reuleaux plasticity: analytical stress integration and consistent tangent for finite deformation mechanics

DOI10.1016/j.cma.2010.11.012zbMath1225.74019OpenAlexW2027641341MaRDI QIDQ646319

Roger S. Crouch, William M. Coombs

Publication date: 16 November 2011

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

Full work available at URL: http://dro.dur.ac.uk/12344/1/12344.pdf

zbMATH Keywords

computational plasticitynon-associated plastic flowanalytical stress returnclosest point projectionconsistent tangentfinite deformation mechanics

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

Related Items

Numerical solution for plasticity models using consistency bisection and a transformed-space closest-point return: a nongradient solution method ⋮ NURBS plasticity: yield surface representation and implicit stress integration for isotropic inelasticity ⋮ Evaluation of advanced anisotropic models with mixed hardening for general associated and non-associated flow metal plasticity ⋮ Rapid non-linear finite element analysis of continuous and discontinuous Galerkin methods in MATLAB ⋮ Algorithmic issues for three-invariant hyperplastic critical state models ⋮ NURBS plasticity: non-associated plastic flow ⋮ NURBS plasticity: yield surface evolution and implicit stress integration for isotropic hardening

Uses Software

• HYPLAS

Cites Work

• Unnamed Item
• Unnamed Item
• Analytical CPP in energy-mapped stress space: application to a modified Drucker-Prager yield surface
• Reuleaux plasticity: analytical backward Euler stress integration and consistent tangent
• Insight into a model for large strain anisotropic elasto-plasticity
• Computational inelasticity
• A computational framework for a class of fully coupled models for elastoplastic damage at finite strains with reference to the linearization aspects
• Efficient return algorithms for associated plasticity with multiple yield planes
• The derivative of a tensor-valued function of a tensor
• Finite element formulations for large deformation dynamic analysis
• Comparison of two algorithms for the computation of fourth-order isotropic tensor functions
• Elastic-Plastic Deformation at Finite Strains
• Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface