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 …

[HTML][HTML] Evaluation of computational homogenization methods for the prediction of mechanical properties of additively manufactured metal parts

NG March, DR Gunasegaram, AB Murphy - Additive Manufacturing, 2023 - Elsevier
It is well known that the strongly location-dependent microstructures observed in metal parts
made using additive manufacturing (AM) processes differ from those found in components …

[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 …

[Књига][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 …

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 …

Mixed boundary conditions for FFT-based homogenization at finite strains

M Kabel, S Fliegener, M Schneider - Computational Mechanics, 2016 - Springer
In this article we introduce a Lippmann–Schwinger formulation for the unit cell problem of
periodic homogenization of elasticity at finite strains incorporating arbitrary mixed boundary …

FFT-based inverse homogenization for cellular material design

Z Chen, B Wu, YM **e, X Wu, S Zhou - International Journal of Mechanical …, 2022 - Elsevier
Besides constituting components, the properties of composites are highly relevant to their
microstructures. The work proposed a fast Fourier transform (FFT)-based inverse …

Numerical homogenization of thermal conductivity of particle-filled thermal interface material by fast Fourier transform method

X Lu, X Fu, J Lu, R Sun, J Xu, C Yan… - Nanotechnology, 2021 - iopscience.iop.org
Thermal interface material (TIM) is pivotal for the heat dissipation between layers of high-
density electronic packaging. The most widely used TIMs are particle-filled composite …

[Књига][B] Composite Materials: Mechanics, Manufacturing and Modeling

S Sharma - 2021 - taylorfrancis.com
Composite materials find diverse applications in areas including aerospace, automotive,
architecture, energy, marine and military. This comprehensive textbook discusses three …

Tunable permittivity in dielectric elastomer composites under finite strains: Periodicity, randomness, and instabilities.

A Goshkoderia, N Arora, V Slesarenko, J Li… - International Journal of …, 2020 - Elsevier
We study the interplay between the material composition and deformation in dielectric
elastomer (DE) composites with periodically and randomly distributed particles embedded in …