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] Effect of printing direction and thickness on the mechanical behavior of SLM fabricated Hastelloy-X

CM Pilgar, AM Fernandez, S Lucarini… - International Journal of …, 2022 - Elsevier
An FFT based polycrystalline homogenization framework is used to predict the temperature-
dependent response of SLM parts fabricated in Hastelloy-X, and to ascertain the origin of the …

Simulation of the Hall-Petch effect in FCC polycrystals by means of strain gradient crystal plasticity and FFT homogenization

S Haouala, S Lucarini, J LLorca, J Segurado - Journal of the Mechanics and …, 2020 - Elsevier
The influence of grain size on the flow stress of various FCC polycrystals (Cu, Al, Ag and Ni)
has been analyzed by means of computational homogenization of a representative volume …

Implementation and experimental validation of nonlocal damage in a large-strain elasto-viscoplastic FFT-based framework for predicting ductile fracture in 3D …

CK Cocke, H Mirmohammad, M Zecevic… - International Journal of …, 2023 - Elsevier
Ductile materials, such as metal alloys, can undergo substantial deformation before failure.
Additionally, these materials are usually of polycrystalline composition and exhibit strongly …

An optimal preconditioned FFT-accelerated finite element solver for homogenization

M Ladecký, RJ Leute, A Falsafi, I Pultarová… - Applied Mathematics …, 2023 - Elsevier
We generalize and provide a linear algebra-based perspective on a finite element (FE)
homogenization scheme, pioneered by Schneider et al.(2017)[1] and Leuschner and Fritzen …

[HTML][HTML] Adaptation and validation of FFT methods for homogenization of lattice based materials

S Lucarini, L Cobian, A Voitus, J Segurado - Computer Methods in Applied …, 2022 - Elsevier
An FFT framework which preserves a good numerical performance in the case of domains
with large regions of empty space is proposed and analyzed for its application to lattice …

[HTML][HTML] Microstructure sensitive fatigue life prediction model for SLM fabricated Hastelloy-X

CM Pilgar, AM Fernandez, J Segurado - International Journal of Fatigue, 2023 - Elsevier
A microstructure-sensitive fatigue life prediction framework based on CP-FFT is proposed to
study SLM fabricated Hastelloy-X. The microstructure enters in the model through the shape …

FFT‐based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid

L Risthaus, M Schneider - International Journal for Numerical …, 2024 - Wiley Online Library
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 …

DBFFT: A displacement based FFT approach for non-linear homogenization of the mechanical behavior

S Lucarini, J Segurado - International Journal of Engineering Science, 2019 - Elsevier
Most of the FFT methods available for homogenization of the mechanical response use the
strain/deformation gradient as unknown, imposing their compatibility using Green's functions …