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.