A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior
The overall, macroscopic constitutive behavior of most materials of technological importance
such as fiber-reinforced composites or polycrystals is very much influenced by the …
such as fiber-reinforced composites or polycrystals is very much influenced by the …
Computational homogenization of polycrystals
This paper reviews the current state of the art in the simulation of the mechanical behavior of
polycrystalline materials by means of computational homogenization. The key ingredients of …
polycrystalline materials by means of computational homogenization. The key ingredients of …
[HTML][HTML] DAMASK–The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single …
Crystal Plasticity (CP) modeling is a powerful and well established computational materials
science tool to investigate mechanical structure–property relations in crystalline materials. It …
science tool to investigate mechanical structure–property relations in crystalline materials. It …
A spectral method solution to crystal elasto-viscoplasticity at finite strains
A significant improvement over existing models for the prediction of the macromechanical
response of structural materials can be achieved by means of a more refined treatment of …
response of structural materials can be achieved by means of a more refined treatment of …
Computational homogenization of elasticity on a staggered grid
In this article, we propose to discretize the problem of linear elastic homogenization by finite
differences on a staggered grid and introduce fast and robust solvers. Our method shares …
differences on a staggered grid and introduce fast and robust solvers. Our method shares …
Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials
Efficient spectral methods are developed to predict the micromechanical behaviour of
plastically deforming heterogeneous materials. The direct and mixed variational conditions …
plastically deforming heterogeneous materials. The direct and mixed variational conditions …
FFT‐based homogenization for microstructures discretized by linear hexahedral elements
The FFT‐based homogenization method of Moulinec–Suquet has recently emerged as a
powerful tool for computing the macroscopic response of complex microstructures for elastic …
powerful tool for computing the macroscopic response of complex microstructures for elastic …
Spectral methods for full-field micromechanical modelling of polycrystalline materials
RA Lebensohn, AD Rollett - Computational Materials Science, 2020 - Elsevier
Modelling the mechanical behavior of polycrystalline materials based on their evolving
microstructure and the anisotropic properties of their constituent single crystal grains is …
microstructure and the anisotropic properties of their constituent single crystal grains is …
Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms
RA Lebensohn, A Needleman - Journal of the Mechanics and Physics of …, 2016 - Elsevier
We present the numerical implementation of a non-local polycrystal plasticity theory using
the FFT-based formulation of Suquet and co-workers. Gurtin (2002) non-local formulation …
the FFT-based formulation of Suquet and co-workers. Gurtin (2002) non-local formulation …
A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals
A numerical implementation of a non-local polycrystal plasticity theory based on a
mesoscale version of the field dislocation mechanics theory (MFDM) of Acharya and Roy …
mesoscale version of the field dislocation mechanics theory (MFDM) of Acharya and Roy …