FFT based approaches in micromechanics: fundamentals, methods and applications
S Lucarini, MV Upadhyay… - Modelling and Simulation …, 2021 - iopscience.iop.org
FFT methods have become a fundamental tool in computational micromechanics since they
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …
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 …
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials
We present the infinitesimal-strain version of a formulation based on fast Fourier transforms
(FFT) for the prediction of micromechanical fields in polycrystals deforming in the elasto …
(FFT) for the prediction of micromechanical fields in polycrystals deforming in the elasto …
Slip transfer and plastic strain accumulation across grain boundaries in Hastelloy X
In this study, high resolution ex situ digital image correlation (DIC) was used to measure
plastic strain accumulation with sub-grain level spatial resolution in uniaxial tension of a …
plastic strain accumulation with sub-grain level spatial resolution in uniaxial tension of a …
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 …
Disconnections and other defects associated with twin interfaces
The general topological model for interfacial defects is reviewed and expanded, and the role
of these defects in the coupled shear-migration of interfaces is explored. We focus on …
of these defects in the coupled shear-migration of interfaces is explored. We focus on …
A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model
In this work, we present a 3D microstructure-based, full-field crystal plasticity finite element
(CPFE) model using a thermally activated dislocation-density based constitutive description …
(CPFE) model using a thermally activated dislocation-density based constitutive description …
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 …
Use of composite voxels in FFT-based homogenization
FFT-based homogenization methods operate on regular voxel grids. In general, such grids
cannot resolve interfaces exactly. In this article we assign voxels containing an interface a …
cannot resolve interfaces exactly. In this article we assign voxels containing an interface a …
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 …