Deformation patterning in finite-strain crystal plasticity by spectral homogenization with application to magnesium
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Publication:1984626
DOI10.1016/j.cma.2018.03.003zbMath1440.74091OpenAlexW2790965304WikidataQ108258204 ScholiaQ108258204MaRDI QIDQ1984626
A. Vidyasagar, Abbas D. Tutcuoglu, Dennis M. Kochmann
Publication date: 7 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:20180308-105420394
Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (7)
FFT-based homogenization of hypoelastic plasticity at finite strains ⋮ Superaccurate effective elastic moduli via postprocessing in computational homogenization ⋮ Voxel‐based finite elements with hourglass control in fast Fourier transform‐based computational homogenization ⋮ Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics ⋮ Microstructural patterns with tunable mechanical anisotropy obtained by simulating anisotropic spinodal decomposition ⋮ A review of nonlinear FFT-based computational homogenization methods ⋮ Finite element procedure and simulations for a multiphase phase field approach to martensitic phase transformations at large strains and with interfacial stresses
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Cites Work
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- The evolution of laminates in finite crystal plasticity: a variational approach
- On the coupling of plastic slip and deformation-induced twinning in magnesium: A variationally consistent approach based on energy minimization
- Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations
- A phase field model of deformation twinning: nonlinear theory and numerical simulations
- Large-scale 3D random polycrystals for the finite element method: generation, meshing and remeshing
- A comparative study on low-memory iterative solvers for FFT-based homogenization of periodic media
- A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms
- Minimum principles for the trajectories of systems governed by rate problems
- Fine phase mixtures as minimizers of energy
- The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
- Convexity conditions and existence theorems in nonlinear elasticity
- A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials.
- Multiscale resolution in the computation of crystalline microstructure
- Microstructural pattern formation in finite-deformation single-slip crystal plasticity under cyclic loading: relaxation vs. gradient plasticity
- Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- The variational formulation of viscoplastic constitutive updates
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- Efficient and accurate two-scale FE-FFT-based prediction of the effective material behavior of elasto-viscoplastic polycrystals
- Two-scale FE-FFT- and phase-field-based computational modeling of bulk microstructural evolution and macroscopic material behavior
- Yielding of magnesium: From single crystal to polycrystalline aggregates
- Single-slip elastoplastic microstructures
- Effective relaxation for microstructure simulations: algorithms and applications
- Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials
- Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields
- Relaxation of a class of variational models in crystal plasticity
- Numerical solution of the scalar double-well problem allowing microstructure
- Non–convex potentials and microstructures in finite–strain plasticity
- Discrete Fourier transforms and their application to stress—strain problems in composite mechanics: a convergence study
- Variational constitutive updates for microstructure evolution in hcp metals
- Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics
- Relaxed Potentials and Evolution Equations for Inelastic Microstructures
- On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
- Modeling anisotropic strain hardening and deformation textures in low stacking fault energy fcc metals
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