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 …

The aim of this work is to develop a fast numerical method for solving conductivity problems
in heterogeneous media subjected to Dirichlet boundary conditions. The method is based …

The fast Fourier transform (FFT) based homogenization method of Moulinec and Suquet has
been established as a fast, accurate, and robust tool for periodic homogenization in solid …

We provide a detailed expository report of a new methodology aiming at building a
numerical model of the complex pore distribution of porous UO 2 ceramics, tunable to real …

Experimental conductivity measurements, obtained on NMC 532-based electrodes with
markedly different porosities and made with percolating and non-percolating CB/PVdF …

The aim of this paper is to investigate the effective properties of Fe–TiB 2 composites
obtained after hot or cold rolling. The elastic moduli of both hot and cold rolled composites …

The equation of state of the triclinic compound 1, 3, 5‐triamino‐2, 4, 6‐trinitrobenzene
(TATB) as well as its second‐order isothermal elastic tensor were computed through …

This study presents a new methodology for estimating the effective properties of solids
containing cracks along the inter-granular boundaries, using analytical developments and …

The thermoelastic responses of a cracked TATB polycrystal is modeled using Fourier-based
numerical computations and linear homogenization estimates. The numerical method is …

A computational model for arbitrary brittle crack propagation, in a fault-like layer within a 3-d
elastic domain, and its associated quasi-static and dynamic fields is developed and …