François Willot

TL;DR: In this article, the authors modify the Green operator involved in Fourier-based computational schemes in elasticity, in 2D and 3D, by expressing continuum mechanics in terms of centered differences on a rotated grid.

TL;DR: In this paper, a modified Green operator is proposed as an improvement of Fou rier-based numerical schemes commonly used for computing the electrical or thermal response of heterogeneous media, and it is shown that the method produces much more accurate local field s inside highlyconducting and quasi-insulating phases, as well as in the vicinity of the phases interfaces.

TL;DR: This work finds that xfem is the most suitable when the mesh if coarse, and methods based on Cartesian grids are best when a very fine mesh can be used, and Finite element methods are good compromises with high flexibility.

TL;DR: In this article, the authors used a combined image segmentation and numerical homogenization approach to predict the elastic properties of a 3D mortar image, obtained by micro-tomography.

TL;DR: In this article, the overall mechanical response as well as strain and stress field statistics of an heterogeneous material made of two randomly distributed, linear elastic phases, are investigated numerically.