Finite strain viscoplasticity with nonlinear kinematic hardening: phenomenological modeling and time integration

DOI10.1016/j.cma.2007.12.017zbMath1194.74026arXiv0706.0429OpenAlexW2045010944MaRDI QIDQ995295

Alexey V. Shutov, Reiner Kreißig

Publication date: 13 September 2010

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

Full work available at URL: https://arxiv.org/abs/0706.0429

zbMATH Keywords

viscoplasticityfinite strainskinematic hardeningintegration algorithmmaterial testinginelastic incompressibility

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (16)

An enhanced concept of rheological models to represent nonlinear thermoviscoplasticity and its energy storage behavior. II: Spatial generalization for small strains ⋮ The exponentiated Hencky-logarithmic strain energy. III: Coupling with idealized multiplicative isotropic finite strain plasticity ⋮ A consistent mixed finite element formulation for hydro-mechanical processes in~saturated porous media at large strains based on a generalized material description ⋮ Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient ⋮ Inspection of ratcheting models for pathological error sensitivity and overparametrization ⋮ Finite element implementation of a microstructure-based model for filled elastomers ⋮ Parameter identification in elasto‐plasticity: distance between parameters and impact of measurement errors ⋮ Geometric integrators for multiplicative viscoplasticity: analysis of error accumulation ⋮ An explicit solution for implicit time stepping in multiplicative finite strain viscoelasticity ⋮ Application of a coordinate-free tensor formalism to the numerical implementation of a material model ⋮ On the equivalence between the multiplicative hyper-elasto-plasticity and the additive hypo-elasto-plasticity based on the modified kinetic logarithmic stress rate ⋮ Numerical implementation of a phase mixture model for rate-dependent inelasticity of tempered martensitic steels ⋮ Modelling and simulation of adhesive curing processes in bonded piezo metal composites ⋮ Thermodynamically consistent nonlinear viscoplastic formulation with exact solution for the linear case and well-conditioned recovery of the inviscid one ⋮ A phenomenological model of finite strain viscoplasticity with distortional hardening ⋮ Efficient implicit integration for finite-strain viscoplasticity with a nested multiplicative split

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
• Constitutive equations for cyclic plasticity and cyclic viscoplasticity
• On the application of dual variables in continuum mechanics
• Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
• Computational inelasticity
• Hyperelastic models for elastoplasticity with nonlinear isotropic and kinematic hardening at large deformation
• On the numerical treatment of finite deformations in elastoviscoplasticity
• Computation of the exponential and other isotropic tensor functions and their derivatives.
• Exact expansions of arbitrary tensor functions \(\mathbf F(\mathbf A)\) and their derivatives.
• 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
• On the theory of fourth-order tensors and their applications in computational mechanics
• A closed-form representation for the derivative of non-symmetric tensor power series
• Kinematic hardening rules in finite plasticity. I: A constitutive approach. II: Some examples
• Stress computation in finite thermoviscoplasticity
• The constitutive equations for rate sensitive plastic materials
• Mechanics of Solid Materials
• EXPONENTIAL MAP ALGORITHM FOR STRESS UPDATES IN ANISOTROPIC MULTIPLICATIVE ELASTOPLASTICITY FOR SINGLE CRYSTALS
• The Derivative with respect to a Tensor: some Theoretical Aspects and Applications
• Elastic-Plastic Deformation at Finite Strains
• The “Pegasus” method for computing the root of an equation
• An improved pegasus method for root finding
• The inelastic behavior of metals subject to loading reversal

This page was built for publication: Finite strain viscoplasticity with nonlinear kinematic hardening: phenomenological modeling and time integration