Homogenization of linearized elasticity systems with traction condition in perforated domains

Abstract

In this paper, we study the asymptotic behavior of the linearized elasticity system with nonhomogeneous traction condition in perforated domains. To do that, we use the $H_e^0$-convergence introduced by M. El Hajji in [4] which generalizes - in the case of the linearized elasticity system - the notion of $H^0$-convergence introduced by M. Briane, A. Damlamian and P. Donato in [1]. We give then some examples to illustrate this result.

Keywords

• Homogenization
• Elasticity
• $H_e^0$-convergence
• Double periodicity.