Electron. J. Diff. Eqns., Vol. 1999(1999), No. 41, pp. 1-11.

Homogenization of linearized elasticity systems with traction condition in perforated domains

Mohamed El Hajji

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.

Show me the PDF file (163K), TEX file, and other files for this article.

Mohamed El Hajji
Universite de Rouen, UFR des Sciences
UPRES-A 60 85 (Labo de Math.)
76821 Mont Saint Aignan, France
e-mail address: Mohamed.Elhajji@univ-rouen.fr

Return to the EJDE web page