Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …

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 …

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 …

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 …

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 …

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 …

Besides constituting components, the properties of composites are highly relevant to their
microstructures. The work proposed a fast Fourier transform (FFT)-based inverse …

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 …

This work focuses on the linear elastic and thermal properties of real and virtual, computer-
generated fibrous composites. A stochastic microstructure model is used to generate …

In this paper, a new expression of the periodized discrete Green operator using the Discrete
Fourier Transform method and consistent with the Fourier grid is derived from the classic …