Numerical concepts for rate-independent single crystal plasticity

DOI10.1016/S0045-7825(02)00563-7zbMath1031.74019MaRDI QIDQ1402559

Martin Schmidt-Baldassari

Publication date: 28 August 2003

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

zbMATH Keywords

Lagrangian multipliertime integration algorithmfinite plasticityprinciple of maximum plastic dissipationpenalty formulationsactive slip systemsAugmented Lagrangian formulationMulti-surface plasticity

Mathematics Subject Classification ID

Crystalline structure (74E15) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

Related Items (29)

Efficient modeling of localized material failure by means of a variationally consistent embedded strong discontinuity approach ⋮ Diagonally implicit Runge-Kutta (DIRK) integration applied to finite strain crystal plasticity modeling ⋮ A robust algorithm for rate-independent crystal plasticity ⋮ Thermodynamic and relaxation-based modeling of the interaction between martensitic phase transformations and plasticity ⋮ A stochastic solver based on the residence time algorithm for crystal plasticity models ⋮ Accelerating crystal plasticity simulations using GPU multiprocessors ⋮ Incremental work minimization algorithm for rate-independent plasticity of single crystals ⋮ Numerically efficient and robust Interior-point algorithm for finite strain rate-independent crystal plasticity ⋮ Crystal plasticity algorithm based on the quasi‐extremal energy principle ⋮ Multifield finite strain plasticity: theory and numerics ⋮ On the coupling of plastic slip and deformation-induced twinning in magnesium: A variationally consistent approach based on energy minimization ⋮ A new semi-implicit formulation for multiple-surface flow rules in multiplicative plasticity ⋮ A stochastic approach to capture crystal plasticity ⋮ A rate-independent crystal plasticity algorithm based on the interior point method ⋮ Dynamic crystal plasticity: an Eulerian approach ⋮ Augmented Lagrangian method for Eulerian modeling of viscoplastic crystals ⋮ An efficient approach for numerical treatment of some inequalities in solid mechanics on examples of Kuhn-Tucker and Signorini-Fichera conditions ⋮ An incompatibility tensor-based gradient plasticity formulation -- theory and numerics ⋮ Return-mapping algorithms for associative isotropic hardening plasticity using conic optimization ⋮ Towards the simulation of selective laser melting processes via phase transformation models ⋮ An elasto-plastic self-consistent model for damaged polycrystalline materials: theoretical formulation and numerical implementation ⋮ Computational methods for elastoplasticity: an overview of conventional and \textit{less-conventional} approaches ⋮ An augmented Lagrange multiplier approach to continuum multislip single crystal thermo–elasto–viscoplasticity ⋮ Computational aspects of tangent moduli tensors in rate-independent crystal elastoplasticity ⋮ Computational shape optimisation for a gradient-enhanced continuum damage model ⋮ Efficient variational constitutive updates for Allen-Cahn-type phase field theory coupled to continuum mechanics ⋮ On the calculation of energy-minimizing phase fractions in shape memory alloys ⋮ An open-source unconstrained stress updating algorithm for the modified Cam-clay model ⋮ A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rate sensitivity of plastic flow and implications for yield-surface vertices
• A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates
• A computational procedure for rate-independent crystal plasticity.
• Generalized standard media and variational principles in classical and finite strain elastoplasticity
• Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
• Integration algorithm for modeling the elasto-viscoplastic response of polycrystalline materials
• On the numerical treatment and analysis of finite deformation ductile single crystal plasticity
• Crystal Plasticity
• Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms
• Discrete micromechanics of elastoplastic crystals
• Elastic-Plastic Deformation at Finite Strains

This page was built for publication: Numerical concepts for rate-independent single crystal plasticity