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 …
[HTML][HTML] Fourier-based schemes for computing the mechanical response of composites with accurate local fields
F Willot - Comptes Rendus Mécanique, 2015 - Elsevier
We modify the Green operator involved in Fourier-based computational schemes in
elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in …
elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in …
FFT-based methods for the mechanics of composites: A general variational framework
S Brisard, L Dormieux - Computational Materials Science, 2010 - Elsevier
For more than a decade, numerical methods for periodic elasticity, based on the fast Fourier
transform, have been used successfully as alternatives to more conventional (fem, bem) …
transform, have been used successfully as alternatives to more conventional (fem, bem) …
Fourier‐based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields
F Willot, B Abdallah… - International Journal for …, 2014 - Wiley Online Library
SUMMARY A modified Green operator is proposed as an improvement of Fourier‐based
numerical schemes commonly used for computing the electrical or thermal response of …
numerical schemes commonly used for computing the electrical or thermal response of …
New large-strain FFT-based formulation and its application to model strain localization in nano-metallic laminates and other strongly anisotropic crystalline materials
This paper presents a new robust large-strain (LS) elasto-viscoplastic (EVP) formulation
based on Fast Fourier Transforms (FFTs) for the prediction of the micro-mechanical …
based on Fast Fourier Transforms (FFTs) for the prediction of the micro-mechanical …
Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of …
S Brisard, L Dormieux - Computer Methods in Applied Mechanics and …, 2012 - Elsevier
We report on the mathematical analysis of two different, FFT-based, numerical schemes for
the homogenization of composite media within the framework of linear elasticity: the basic …
the homogenization of composite media within the framework of linear elasticity: the basic …
[图书][B] Morphological models of random structures
D Jeulin - 2021 - Springer
This book covers methods of Mathematical Morphology to model and simulate random sets
and functions (scalar and multivariate). These models concern many physical situations in …
and functions (scalar and multivariate). These models concern many physical situations in …
Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms
RA Lebensohn, A Needleman - Journal of the Mechanics and Physics of …, 2016 - Elsevier
We present the numerical implementation of a non-local polycrystal plasticity theory using
the FFT-based formulation of Suquet and co-workers. Gurtin (2002) non-local formulation …
the FFT-based formulation of Suquet and co-workers. Gurtin (2002) non-local formulation …
A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals
A numerical implementation of a non-local polycrystal plasticity theory based on a
mesoscale version of the field dislocation mechanics theory (MFDM) of Acharya and Roy …
mesoscale version of the field dislocation mechanics theory (MFDM) of Acharya and Roy …
Fast fourier transform-based modeling for the determination of micromechanical fields in polycrystals
Emerging characterization methods in experimental mechanics pose a challenge to
modelers to devise efficient formulations that permit interpretation and exploitation of the …
modelers to devise efficient formulations that permit interpretation and exploitation of the …