We study the effective properties of an elastic composite medium under the assumption of
small deformations. This composite is made of a periodic possibly disconnected subset filled …

Let S2 be a bounded open subset of] R and (ae) a sequence of functions on S2 taking very
high values on a set of 8-periodically distributed fibers of radius re (re «~). We study …

In a cylindrical domain Ω of R 3 , we establish an homogenization result for a boundary value
problem of elasticity and for the associated vibration problem. We assume that the data …

We study the homogenization of parabolic or hyperbolic equations like \[ \rho_\varepsilon{\partial^n
u_\varepsilon\over \partial t^n}- {\rm div}( a_\varepsilon\nabla u_\varepsilon) =f \ \ \…

We study a notion of capacity related to elasticity which proves convenient for analyzing the
concentrations of strain energy caused by rigid displacements of some infinitesimal parts of …

Les pages qui suivent présentent les travaux que j'ai effectués depuis le début de mes
recherches en 1995. Ils ont été menés d'abord au laboratoire d'Analyse Non Linéaire Appliquée …

We study the effective properties of a linear elastic or perfectly viscoplastic composite
consisting of a soft matrix reinforced by possibly very stiff fibers. The effective material is …

We establish a homogenization result and a corrector result for a vibration problem of
elasticity. We assume that the data depend in a periodic way on a small parameter $\varepsilon$. …

We determine the asymptotic behavior of the solutions to the linear elastodynamic equations
in a stratified media comprising an alternation of possibly very stiff layers with much softer …

We analyse basic thermal cloaks designed via different geometric transforms applied to
thermal cloaking. We evaluate quantitatively the effectiveness of these heterogeneous …