2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 35-51.
Title: Modelling of a collage problem
Authors: Abdelaziz Ait Moussa (Univ. Mohamed 1er, Oujda, Maroc)
Loubna Zlaiji (Univ. Mohamed 1er, Oujda, Maroc)
Abstract:
In this paper we study the behavior of elastic adherents connected
with an adhesive. We use the $\Gamma$-convergence method to
approximate the problem modelling the assemblage with density
energies assumed to be quasiconvex. In particular for the adhesive
problem, we assume periodic density energy and some growth
conditions with respect to the spherical and deviational components
of the gradient. We obtain a problem depending on small parameters
linked to the thickness and the stiffness of the adhesive.
Published September 20, 2006.
Math Subject Classifications: 35K22, 58D25, 73D30.
Key Words: Adhesive; spherical; deviational; $\Gamma$-convergence;
homogenization; quasiconvexity; subadditivity.