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
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 …
[HTML][HTML] An FE–DMN method for the multiscale analysis of short fiber reinforced plastic components
In this work, we propose a fully coupled multiscale strategy for components made from short
fiber reinforced composites, where each Gauss point of the macroscopic finite element …
fiber reinforced composites, where each Gauss point of the macroscopic finite element …
[HTML][HTML] Representative volume elements for matrix-inclusion composites-a computational study on the effects of an improper treatment of particles intersecting the …
We investigate volume-element sampling strategies for the stochastic homogenization of
particle-reinforced composites and show, via computational experiments, that an improper …
particle-reinforced composites and show, via computational experiments, that an improper …
Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures
We study fast and memory-efficient FFT-based implicit solution methods for small-strain
phase-field crack problems for microstructured brittle materials. A fully implicit first order …
phase-field crack problems for microstructured brittle materials. A fully implicit first order …
A sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution
We describe an algorithm for generating fiber-filled volume elements for use in
computational homogenization schemes. The algorithm permits to prescribe both a length …
computational homogenization schemes. The algorithm permits to prescribe both a length …
A consistent discretization via the finite radon transform for FFT-based computational micromechanics
L Jabs, M Schneider - Computational Mechanics, 2024 - Springer
This work explores connections between FFT-based computational micromechanics and a
homogenization approach based on the finite Radon transform introduced by Derraz and co …
homogenization approach based on the finite Radon transform introduced by Derraz and co …
FFT‐based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid
Imposing nonperiodic boundary conditions for unit cell analyses may be necessary for a
number of reasons in applications, for example, for validation purposes and specific …
number of reasons in applications, for example, for validation purposes and specific …
On the effectiveness of the Moulinec–Suquet discretization for composite materials
M Schneider - International Journal for Numerical Methods in …, 2023 - Wiley Online Library
Moulinec and Suquet introduced a method for computational homogenization based on the
fast Fourier transform which turned out to be rather computationally efficient. The underlying …
fast Fourier transform which turned out to be rather computationally efficient. The underlying …