Variational gradient plasticity at finite strains. III: Local-global updates and regularization techniques in multiplicative plasticity for single crystals

DOI10.1016/J.CMA.2013.08.022zbMath1295.74012OpenAlexW1989444039MaRDI QIDQ741953

Felix E. Hildebrand, S. Mauthe, Christian Miehe

Publication date: 16 September 2014

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.2013.08.022

zbMATH Keywords

crystal plasticityvariational principlessize effectscoupled problemsconstitutive updatesgradient-extended plasticity

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Analysis of microstructure in solids (74N15) Crystals in solids (74N05)

Related Items (15)

Unnamed Item ⋮ Variational Gradient Plasticity: Local-Global Updates, Regularization and Laminate Microstructures in Single Crystals ⋮ Variational formulation for dissipative continua and an incremental J-integral ⋮ Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures ⋮ Micromorphic approach for gradient-extended thermo-elastic-plastic solids in the logarithmic strain space ⋮ A quasi-extremal energy principle for non-potential problems in rate-independent plasticity ⋮ Incremental work minimization algorithm for rate-independent plasticity of single crystals ⋮ Crystal plasticity algorithm based on the quasi‐extremal energy principle ⋮ Virtual elements for computational anisotropic crystal plasticity ⋮ Discrete micromechanics of elastoplastic crystals in the finite deformation range ⋮ Variational updates for thermomechanically coupled gradient-enhanced elastoplasticity -- implementation based on hyper-dual numbers ⋮ Modeling of additively manufactured materials using gradient-enhanced crystal plasticity ⋮ A variational framework to model diffusion induced large plastic deformation and phase field fracture during initial two-phase lithiation of silicon electrodes ⋮ Computational homogenization of mesoscale gradient viscoplasticity ⋮ A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing

Cites Work

• Unnamed Item
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• A multi-field incremental variational framework for gradient-extended standard dissipative solids
• On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals
• formulation of models for extended crystal plasticity at large deformation
• A finite deformation theory of higher-order gradient crystal plasticity
• Variational gradient plasticity at finite strains. I: Mixed potentials for the evolution and update problems of gradient-extended dissipative solids
• Nicht-lineare Elastizitätstheorie der Versetzungen und Eigenspannungen
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Finite element analysis of crystalline solids
• Energetic dislocation interactions and thermodynamical aspects of strain gradient crystal plasticity theories
• Views on multiplicative elastoplasticity and the continuum theory of dislocations
• Anisotropic finite elastoplastic analysis of shells: Simulation of earing in deep-drawing of single- and polycrystalline sheets by Taylor-type micro-to-macro transitions.
• On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
• On the continuum formulation of higher-gradient plasticity for single and polycrystals
• A computational procedure for rate-independent crystal plasticity.
• Indentation size effects in crystalline materials: a law for strain gradient plasticity
• Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations
• A comparison of nonlocal continuum and discrete dislocation plasticity predictions.
• Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.
• Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations
• Elasto-viscoplastic constitutive equations for polycrystalline metals: Application to tantalum
• Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
• The variational formulation of viscoplastic constitutive updates
• A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on densities of geometrically necessary dislocations
• Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
• Constitutive analysis of elastic-plastic crystals at arbitrary strain
• Scale-dependent crystal plasticity framework with dislocation density and grain boundary effects
• Non-local crystal plasticity model with intrinsic SSD and GND effects
• Crystal Plasticity
• Gradient crystal plasticity as part of the computational modelling of polycrystals
• Finite Plastic Deformation of Crystalline Solids
• Bounds and self-consistent estimates for creep of polycrystalline materials
• EXPONENTIAL MAP ALGORITHM FOR STRESS UPDATES IN ANISOTROPIC MULTIPLICATIVE ELASTOPLASTICITY FOR SINGLE CRYSTALS
• Equivalent plastic strain gradient enhancement of single crystal plasticity: theory and numerics
• Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity
• On the characterization of geometrically necessary dislocations in finite plasticity
• Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity
• A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations

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