We give a comprehensive presentation of the periodic unfolding method for perforated domains, both when the unit hole is a compact subset of the open unit cell and when this is impossible to achieve.… (More)

The homogenization problem in the general case of quasiconvex integral energies with polynomial growth, defined on vector-valued configurations, was studied by the Γ-convergence methods in [A.… (More)

The periodic unfolding method, introduced in [D. Cioranescu, A. Damlamian, G. Griso, Periodic unfolding and homogenization, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 99–104], was developed to study… (More)

In this paper we give a general presentation of the homogenization of Neumann type problems in periodically perforated domains, including the case where the shape of the reference hole varies with… (More)

We consider the elasticity problem in a heterogeneous domain with an ε-periodic micro-structure, ε 1, including multiple micro-contacts between the structural components. These components can be a… (More)

In the last decades, the problem of thermal transfer in heterogeneous media has been a subject of huge interest for a broad category of researchers: engineers, mathematicians, physicists (see [2] and… (More)

Using the periodic unfolding method of Cioranescu, Damlamian and Griso, we study the homogenization for equations of the form −div dε = f, with ( ∇uε,δ(x), dε,δ(x) ) ∈ Aε(x) in a perforated domain… (More)

We study the relationship between the Mosco convergence of a sequence of convex proper lower semicontinuous functionals, defined on a reflexive Banach space, and the convergence of their… (More)