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 …
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 …
Implementation and experimental validation of nonlocal damage in a large-strain elasto-viscoplastic FFT-based framework for predicting ductile fracture in 3D …
Ductile materials, such as metal alloys, can undergo substantial deformation before failure.
Additionally, these materials are usually of polycrystalline composition and exhibit strongly …
Additionally, these materials are usually of polycrystalline composition and exhibit strongly …
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 …
FFT-based solver for higher-order and multi-phase-field fracture models applied to strongly anisotropic brittle materials
This paper presents the application of a fast Fourier transform (FFT) based method to solve
two phase field models designed to simulate crack growth of strongly anisotropic materials …
two phase field models designed to simulate crack growth of strongly anisotropic materials …
On Quasi‐Newton methods in fast Fourier transform‐based micromechanics
D Wicht, M Schneider, T Böhlke - International Journal for …, 2020 - Wiley Online Library
This work is devoted to investigating the computational power of Quasi‐Newton methods in
the context of fast Fourier transform (FFT)‐based computational micromechanics. We revisit …
the context of fast Fourier transform (FFT)‐based computational micromechanics. We revisit …
[HTML][HTML] Micromorphic crystal plasticity approach to damage regularization and size effects in martensitic steels
A reduced micromorphic model is formulated in the scope of crystal plasticity and crystalline
cleavage damage. The finite strain formulation utilizes a single additional microvariable that …
cleavage damage. The finite strain formulation utilizes a single additional microvariable that …
On the Barzilai‐Borwein basic scheme in FFT‐based computational homogenization
M Schneider - International Journal for Numerical Methods in …, 2019 - Wiley Online Library
Building upon the equivalence of the basic scheme in the work of Moulinec and Suquet with
gradient descent methods, we investigate the effect of using the celebrated Barzilai‐Borwein …
gradient descent methods, we investigate the effect of using the celebrated Barzilai‐Borwein …
Progressive damage analysis of 3D braided composites using FFT-based method
Spectral method based on Fast Fourier Transforms (FFT) is developed to study the
mechanical properties of three-dimensional (3D) braided composites with complex internal …
mechanical properties of three-dimensional (3D) braided composites with complex internal …