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 …

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 …

[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 …

Teaching solid mechanics to artificial intelligence—a fast solver for heterogeneous materials

JR Mianroodi, N H. Siboni, D Raabe - Npj Computational Materials, 2021 - nature.com
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 …

An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials

MS Khorrami, JR Mianroodi, NH Siboni… - npj Computational …, 2023 - nature.com
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 …

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 …

Computational homogenization of elasticity on a staggered grid

M Schneider, F Ospald, M Kabel - International Journal for …, 2016 - Wiley Online Library
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 …

Computational homogenization of polycrystals

J Segurado, RA Lebensohn, J LLorca - Advances in Applied Mechanics, 2018 - Elsevier
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 …

Multiscale modelling of precipitation hardening in Al–Cu alloys: Dislocation dynamics simulations and experimental validation

R Santos-Güemes, B Bellón, G Esteban-Manzanares… - Acta Materialia, 2020 - Elsevier
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 …

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 …