A MODELING OF ELASTIC ADHESIVELY BONDING JOINTS

From the point of view of mathematical modeling, adhesive bonding of e lastic bodies involves a problem with two essential parameters: a asso ciated to the thickness of the layer filled by the adhesive which is s mall with respect to the size of the adherents and mu, connected with the stiffness of the glue, which is lower than that of the bodies. It is of interest to study the asymptotic behaviour when the pair s = (ep silon, mu) tends to zero. Numerous studies have been devoted to this s ubject (see for instance [5], [7]), but under the assumption of small perturbations. However, due to the small stiffness of the adhesive, st rain can be high in the vicinity of the layer Therefore we present her e a first attempt to account large purely elastic deformations. In thi s context, we assume that the densities of bulk energy are not convex. Moreover, in order to take into account bonding irregularities and ro ughness of the bonding surfaces we assume that the density of the bulk energy and the boundary of the adhesive layer are highly oscillating functions.