On the exploitation of Armstrong-Frederik type nonlinear kinematic hardening in the numerical integration and finite-element implementation of pressure dependent plasticity models

DOI10.1007/s00466-012-0828-1zbMath1282.74091OpenAlexW1978511513MaRDI QIDQ364139

Thomas Seifert, Mario Metzger

Publication date: 5 September 2013

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

Full work available at URL: https://doi.org/10.1007/s00466-012-0828-1

zbMATH Keywords

numerical integrationkinematic hardeningfinite-element methodpressure dependent plasticity

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

Analysis of small temperature oscillation in a deformable solid matrix containing a spherical cavity filled with a compressible liquid -- analytical solutions for damage initiation induced by pore pressure variation

Uses Software

• ABAQUS

Cites Work

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• Consistent tangent operators for rate-independent elastoplasticity
• Constitutive equations for cyclic plasticity and cyclic viscoplasticity
• Time-independent constitutive theories for cyclic plasticity
• On the geometry of slip and spin in finite plastic deformation
• Kinematic hardening rules with critical state of dynamic recovery. I: Formulation and basic features for ratchetting behavior. II: Applications to experiments of ratchetting behavior
• On the numerical treatment of finite deformations in elastoviscoplasticity
• On the numerical integration of a class of pressure-dependent plasticity models including kinematic hardening
• Micromechanical modelling of cyclic plasticity incorporating damage
• Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models
• Aspects on the finite-element implementation of the Gurson model including parameter identification
• Simulation of failure under cyclic plastic loading by damage models
• Material Failure by Void Growth to Coalescence
• Bruchmechanik
• A simplified canonical form algorithm with application to porous metal plasticity
• Consistent linearization and finite element implementation of an incrementally objective canonical form return mapping algorithm for large deformation inelasticity
• Line‐search methods in general return mapping algorithms with application to porous plasticity
• Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
• Stress computation and consistent tangent operator using non‐linear kinematic hardening models
• Modeling of Cyclic Ratchetting Plasticity, Part I: Development of Constitutive Relations
• On the numerical integration of a class of pressure‐dependent plasticity models