A PROPERTY OF THE H-CONVERGENCE FOR ELASTICITY IN PERFORATED DOMAINS

In this article, we obtain the H-e(0) - convergence as a limit case of the He- convergence. More precisely, if "is a perforated domain with (admissible) holes T-epsilon and X-epsilon denote its characteristic function and if (A", T") H-e(0) * A0, we show how the behavior as (epsilon, delta) -> (0, 0) of the double sequence of tensors A " ffi = (x(epsilon)+ ffi (1 - x(epsilon)) A(epsilon) is connected to A0. These results extend those given by Cioranescu, Damlamian, Donato and Mascarenhas in [3] for the Hconvergence of the scalar second elliptic operators to the linearized elasticity systems.