Adaptive return mapping algorithms for J2 elasto‐viscoplastic flow

DOI10.1002/nme.203zbMath1016.74068OpenAlexW2143464573MaRDI QIDQ2762083

A. H. van den Boogaard, Johan Löf

Publication date: 20 August 2003

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.203

zbMATH Keywords

weightsgeneralized trapezoidal rule\(J(2)\) flowadaptive return mapping algorithmselasto-viscoplastic constitutive equationsplastic-strain increment

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (3)

Automatic consistency integrations for the stress update of J ₂ elastoplastic rate constitutive equations with combined hardening ⋮ Temporal homogenization formula for viscoelastic–viscoplastic model subjected to local cyclic loading ⋮ A rigorous bound on error in backward-difference elastoplastic time-integration.

Cites Work

• A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
• On the implementation of inelastic constitutive equations with special reference to large deformation problems
• Operator split methods for the numerical solution of the elastoplastic dynamic problem
• A large strain plasticity model for implicit finite element analyses
• Computational inelasticity
• An evaluation of substepping and implicit stress point algorithms
• A generalized visco-plasticity model and its algorithmic implementation
• Accuracy and stability of integration algorithms for elastoplastic constitutive relations
• An analysis of a new class of integration algorithms for elastoplastic constitutive relations
• Substepping schemes for the numerical integration of elastoplastic stress–strain relations
• Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms
• Efficient elastic-plastic finite element analysis with higher order stress-point algorithms
• Viscoplasticity for instabilities due to strain softening and strain-rate softening
• A mixed elastoplastic/rigid-plastic material model

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