2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 35-51.

Modelling of a collage problem

Abdelaziz Ait Moussa, Loubna Zlaiji

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.

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Abdelaziz Aït Moussa
Département de mathématiques et informatique
Faculté des sciences, Université Mohammed 1er
60000 Oujda, Morocco
email: moussa@sciences.univ-oujda.ac.ma
Loubna Zlaïji
Département de mathématiques et informatique
Faculté des sciences, Université Mohammed 1er
60000 Oujda, Morocco
email: l.zlaiji@yahoo.fr

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