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 …

Current challenges and opportunities in microstructure-related properties of advanced high-strength steels

D Raabe, B Sun, A Kwiatkowski Da Silva… - … Materials Transactions A, 2020 - Springer
This is a viewpoint paper on recent progress in the understanding of the microstructure–
property relations of advanced high-strength steels (AHSS). These alloys constitute a class …

[HTML][HTML] DAMASK–The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single …

F Roters, M Diehl, P Shanthraj, P Eisenlohr… - Computational Materials …, 2019 - Elsevier
Crystal Plasticity (CP) modeling is a powerful and well established computational materials
science tool to investigate mechanical structure–property relations in crystalline materials. It …

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 …

A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior

C Gierden, J Kochmann, J Waimann… - … Methods in Engineering, 2022 - Springer
The overall, macroscopic constitutive behavior of most materials of technological importance
such as fiber-reinforced composites or polycrystals is very much influenced by the …

Confinement effect on porosity and permeability of shales

J Goral, P Panja, M Deo, M Andrew, S Linden… - Scientific reports, 2020 - nature.com
Porosity and permeability are the key factors in assessing the hydrocarbon productivity of
unconventional (shale) reservoirs, which are complex in nature due to their heterogeneous …

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 …

FFT‐based homogenization for microstructures discretized by linear hexahedral elements

M Schneider, D Merkert, M Kabel - International journal for …, 2017 - Wiley Online Library
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 …

The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics

M Schneider - Computational Mechanics, 2017 - Springer
We present an algorithm for generating volume elements of short fiber reinforced plastic
microstructures for prescribed fourth order fiber orientation tensor, fiber aspect ratio and …

Multiscale finite element calculations in Python using SfePy

R Cimrman, V Lukeš, E Rohan - Advances in Computational Mathematics, 2019 - Springer
SfePy (simple finite elements in Python) is a software for solving various kinds of problems
described by partial differential equations in one, two, or three spatial dimensions by the …