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 |
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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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