The nonlinear response of Boolean models: elasticity and conductivity - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2018

The nonlinear response of Boolean models: elasticity and conductivity

François Willot
Dominique Jeulin

Résumé

The effective response of an ideal random composite, the Boolean model of spheres, with a nonlinear powerlaw matrix, is investigated. Nonlinearity is parametrized by the law exponent 0≤n≤1, with the values n=1 corresponding to a linear-elastic matrix and n=0 to a strongly nonlinear elastic matrix. To strengthen the effect of the microstructure, inclusions are either quasi-rigid or porous, whereas the matrix is compressible or incompressible. Full-fields solutions are computed numerically using Fourier methods, for varying inclusion volume fractions and nonlinearity exponent. Next, we consider the effect of a two-scale dispersion of pores and rigid inclusions in the context of a nonlinear matrix.

Domaines

Matériaux
Fichier non déposé

Dates et versions

hal-01856565 , version 1 (12-08-2018)

Identifiants

  • HAL Id : hal-01856565 , version 1

Citer

François Willot, Dominique Jeulin. The nonlinear response of Boolean models: elasticity and conductivity. Physics & Mechanics of Random Media: from Morphology to Material Properties, pp.181, 2018, 978-2-35671-529-6. ⟨hal-01856565⟩
4604 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More