Modelling of a collage problem

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.

Keywords

• Adhesive
• spherical
• deviational
• $Gamma$-convergence
• homogenization
• quasiconvexity
• subadditivity.