Inserted: 10 oct 2017
Last Updated: 10 oct 2017
Journal: IMA Journal of Applied Mathematics
Links: link to the article online: IMA Journal of Applied Mathematics
We introduce and study a variational model describing a reinforcing sheet, which is glued to an elastic-breakable matrix: the glue and the matrix react elastically to deformations up to a finite threshold. The analysis is performed in linear and nonlinear elasticity. The adhesion energy density is allowed to be neither convex nor differentiable. We provide a description of the conditions characterizing debonding and global collapse of the structure. A detailed analysis is performed in the case of a ring-shaped geometry.
Keywords: calculus of variations, Thin films, elasticity, adhesion, elastic-brittle materials, collapse