On the theoretical and numerical modelling of Armstrong-Frederick kinematic hardening in the finite strain regime.
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Publication:1430718
DOI10.1016/j.cma.2003.09.005zbMath1063.74020OpenAlexW2044812854MaRDI QIDQ1430718
Stefanie Reese, Wulf G. Dettmer
Publication date: 27 May 2004
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2003.09.005
Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
- Constitutive equations for cyclic plasticity and cyclic viscoplasticity
- Time-independent constitutive theories for cyclic plasticity
- 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
- Material uniformity and inhomogeneity in anelastic bodies
- Kinematic hardening rules with critical state of dynamic recovery. I: Formulation and basic features for ratchetting behavior. II: Applications to experiments of ratchetting behavior
- Hyperelastic models for elastoplasticity with nonlinear isotropic and kinematic hardening at large deformation
- A theory of finite viscoelasticity and numerical aspects
- On the numerical treatment of finite deformations in elastoviscoplasticity
- Integration methods for complex plastic constitutive equations
- Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation
- Computation of the exponential and other isotropic tensor functions and their derivatives.
- Constitutive modelling in finite thermoviscoplasticity: A physical approach based on nonlinear rheological models
- A closed-form representation for the derivative of non-symmetric tensor power series
- On the evolution of isotropic and kinematic hardening with finite plastic deformation. I: Compression/tension loading of OFHC copper cylinders
- A thermodynamic formulation of finite-deformation elastoplasticity with hardening based on the concept of material isomorphism
- An alternative approach to finite plasticity based on material isomorphisms
- Kinematic hardening rules in finite plasticity. I: A constitutive approach. II: Some examples
- On the numerical treatment and analysis of finite deformation ductile single crystal plasticity
- An implicit algorithm using explicit correctors for the kinematic hardening model with multiple back stresses
- A fast, one-equation integration algorithm for the Lemaitre ductile damage model
- A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
- Mechanics of Solid Materials
- Nineteen Dubious Ways to Compute the Exponential of a Matrix
- EXPONENTIAL MAP ALGORITHM FOR STRESS UPDATES IN ANISOTROPIC MULTIPLICATIVE ELASTOPLASTICITY FOR SINGLE CRYSTALS
- On a consistent hourglass stabilization technique to treat large inelastic deformations and thermo-mechanical coupling in plane strain problems
- Implementation of cyclic plasticity models based on a general form of kinematic hardening
- The exact derivative of the exponential of an unsymmetric tensor
- Fundamentals of kinematic hardening hyperplasticity
- Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation
- The inelastic behavior of metals subject to loading reversal
- On the modelling of anisotropic elastic and inelastic material behaviour at large deformation