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 …
[HTML][HTML] Effect of printing direction and thickness on the mechanical behavior of SLM fabricated Hastelloy-X
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 …
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
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 …
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 …
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 …
An optimal preconditioned FFT-accelerated finite element solver for homogenization
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 …
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
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 …
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 …
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 …
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 …
strain/deformation gradient as unknown, imposing their compatibility using Green's functions …