A Property of the H-convergence for Elasticity in Perforated Domains
نویسنده
چکیده
In this article, we obtain the H0 e -convergence as a limit case of the He-convergence. More precisely, if Ωε is a perforated domain with (admissible) holes Tε and χε denote its characteristic function and if (Aε, Tε) H0 e ⇀ A0, we show how the behavior as (ε, δ) → (0, 0) of the double sequence of tensors Aδ = (χε + δ(1 − χε))A ε 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.
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تاریخ انتشار 2006