A review of nonlinear FFT-based computational homogenization methods
M Schneider - Acta Mechanica, 2021 - Springer
Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …
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 …
Aspects of computational homogenization at finite deformations: a unifying review from Reuss' to Voigt's bound
The objective of this contribution is to present a unifying review on strain-driven
computational homogenization at finite strains, thereby elaborating on computational …
computational homogenization at finite strains, thereby elaborating on computational …
[HTML][HTML] Fourier-based schemes for computing the mechanical response of composites with accurate local fields
F Willot - Comptes Rendus Mécanique, 2015 - Elsevier
We modify the Green operator involved in Fourier-based computational schemes in
elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in …
elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in …
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 …
Homogenization of composites with extended general interfaces: comprehensive review and unified modeling
Interphase regions that form in heterogeneous materials through various underlying
mechanisms such as poor mechanical or chemical adherence, roughness, and coating, play …
mechanisms such as poor mechanical or chemical adherence, roughness, and coating, play …
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 …
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 …