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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 …
[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 …
Teaching solid mechanics to artificial intelligence—a fast solver for heterogeneous materials
We propose a deep neural network (DNN) as a fast surrogate model for local stress
calculations in inhomogeneous non-linear materials. We show that the DNN predicts the …
calculations in inhomogeneous non-linear materials. We show that the DNN predicts the …
An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials
The purpose of this work is the development of a trained artificial neural network for
surrogate modeling of the mechanical response of elasto-viscoplastic grain microstructures …
surrogate modeling of the mechanical response of elasto-viscoplastic grain microstructures …
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 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 …
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 …
Multiscale modelling of precipitation hardening in Al–Cu alloys: Dislocation dynamics simulations and experimental validation
The mechanisms of dislocation/precipitate interactions were analyzed in an Al–Cu alloy
containing a homogeneous dispersion of θ′ precipitates by means of discrete dislocation …
containing a homogeneous dispersion of θ′ precipitates by means of discrete dislocation …
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 …