Electronic Journal of Differential Equations, Vol. 1999(1999), No. 41, pp. 1-11. Title: Homogenization of linearized elasticity systems with traction condition in perforated domains Author: Mohamed El Hajji (Univ. de Rouen, Mont Saint Aignan, France) 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. Submitted April 6, 1999. Published October 11, 1999. Math Subject Classifications: 73C02, 35B27, 35J55, 35J67 Key Words: Homogenization; Elasticity; $H_e^0$-convergence; Double periodicity.