On the modelling of non‐linear kinematic hardening at finite strains with application to springback—Comparison of time integration algorithms

DOI10.1002/nme.2234zbMath1195.74019OpenAlexW2103654630MaRDI QIDQ3590354

Michael P. Pietryga, Ivaylo N. Vladimirov, Stefanie Reese

Publication date: 17 September 2010

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.2234

zbMATH Keywords

exponential mapfinite strainskinematic hardeningspringbackbackward Eulerdraw bending

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Finite difference methods applied to problems in solid mechanics (74S20)

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Uses Software

• ABAQUS/Standard

Cites Work

• Unnamed Item
• A model of large-strain cyclic plasticity and its application to springback simulation
• A framework for multiplicative elastoplasticity with kinematic hardening coupled to anisotropic damage
• Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
• Constitutive equations for cyclic plasticity and cyclic viscoplasticity
• Second-order accurate integration algorithms for von-Mises plasticity with a nonlinear kinematic hardening mechanism
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
• A theory of finite viscoelasticity and numerical aspects
• On the numerical treatment of finite deformations in elastoviscoplasticity
• On the theoretical and numerical modelling of Armstrong-Frederick kinematic hardening in the finite strain regime.
• Constitutive modelling in finite thermoviscoplasticity: A physical approach based on nonlinear rheological models
• Measurement of springback
• Simulation of springback
• Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions. I: Theory and formulation
• Numerical integration method for kinematic hardening rules with partial activation of dynamic recovery term
• On the implementation of a multi-surface kinematic hardening plasticity and its applications
• Cyclic behavior modeling of a tempered martensitic hot work tool steel
• A return mapping algorithm for cyclic viscoplastic constitutive models
• Stress computation in finite thermoviscoplasticity
• Modeling multi-axial deformation of planar anisotropic elasto-plastic materials. I: Theory
• Modeling multi-axial deformation of planar anisotropic elasto-plastic materials. II: Applications
• Deformation gradient based kinematic hardening model
• Cyclic multiaxial and shear finite deformation response of OFHC. I: Experimental results
• A novel ‘optimal’ exponential-based integration algorithm for von-Mises plasticity with linear hardening: Theoretical analysis on yield consistency, accuracy, convergence and numerical investigations
• A logarithmic-exponential backward-Euler-based split of the flow rule for anisotropic inelastic behaviour at small elastic strain
• EXPONENTIAL MAP ALGORITHM FOR STRESS UPDATES IN ANISOTROPIC MULTIPLICATIVE ELASTOPLASTICITY FOR SINGLE CRYSTALS
• Implicit integration and consistent tangent modulus of a time-dependent non-unified constitutive model
• Inverse estimation of material properties for sheet metals
• Use of the Elastic Predictor-Plastic Corrector Method for Integrating Finite Deformation Plasticity Laws
• Finite element implementation of visco-plastic constitutive model with strain-range-dependent cyclic hardening
• Geometrical numerical algorithms for a plasticity model with Armstrong-Frederick kinematic hardening rule under strain and stress controls
• Elastic-Plastic Deformation at Finite Strains
• The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
• Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation