A property of the H-convergence for elasticity in perforated domains
Texas State University-San Marcos, Department of Mathematics
In this article, we obtain the H0e-convergence as a limit case of the He-convergence. More precisely, if Ωε is a perforated domain with (admissible) holes Tε and Xε denote its characteristic function and if (Aε, Tε) H0ε⇀ A0, we show how the behavior as (ε, δ) → (0, 0) of the double sequence of tensors Aεδ = (Xε + δ(1 - xε))Aε is connected to A0. These results extend those given by Cioranescu, Damlamian, Donato and Mascarenhas in  for the H-convergence of the scalar second elliptic operators to the linearized elasticity systems.
Homogenization, H-convergence, Linearized elasticity system, Perforated domains
Haddadou, H. (2006). A property of the H-convergence for elasticity in perforated domains. <i>Electronic Journal of Differential Equations, 2006</i>(137), pp. 1-11.