Homogenization results for micro-contact elasticity problems

The asymptotic behavior of some elasticity problems, in a perforated domain, is analyzed. We address here the case of an ϵ-periodic perforated structure, with rigid inclusions of the same size as the period. The body occupying this domain is considered to be clamped along a part of its outer boundary and subjected to given tractions on the rest of the exterior boundary. Several nonlinear conditions on the boundary of the rigid inclusions are considered. The approach we follow is based on the periodic unfolding method, which allows us to deal with general materials.