On the numerical algorithm for isotropic-kinematic hardening with the Armstrong-Frederick evolution of the back stress

DOI10.1016/S0045-7825(02)00296-7zbMath1028.74050OpenAlexW2117154106MaRDI QIDQ1858481

Vlado A. Lubarda, David J. Benson

Publication date: 13 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00296-7

zbMATH Keywords

cyclic loadingelastic-plastic materialnumerical algorithmback stressradial return methodalgorithmic consistencyArmstrong-Frederick evolution equationelastic-viscoplastic metrialisotropic-kinematic hardening plasticityplastic loading indexviscoelastic-plastic material

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

A comparative analysis of two formulations for non linear hardening plasticity models: application to shakedown analysis ⋮ A hybrid strategy blending primal‐dual interior point and return mapping methods for a class of hypoelastic‐plastic models with memory surface ⋮ Variational inequality in classical plasticity. Applications to Armstrong-Frederick elasto-plastic model ⋮ Finite element implementation of visco-plastic constitutive model with strain-range-dependent cyclic hardening

Cites Work

• Constitutive equations for cyclic plasticity and cyclic viscoplasticity
• A nonlinear kinematic hardening theory for cyclic thermoplasticity and thermoviscoplasticity
• Viscoplasticity with creep and plasticity bounds
• Computational inelasticity
• On the evolution equation for the rest stress in rate-dependent plasticity
• An implicit integration algorithm with a projection method for viscoplastic constitutive equations
• The constitutive equations for rate sensitive plastic materials
• Numerical integration of viscoplastic material laws at large strains with application to impact problems
• Visco-plasticity-plasticity and creep in elastic solids-a unified numerical solution approach
• Plastic wave propagation in a bar of material exhibiting a strain rate effect
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