Calculus of Variations and Geometric Measure Theory
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F. Maddalena - D. Percivale - F. Tomarelli

Local and non-local energies in adhesive interaction

created by tomarelli1 on 10 Oct 2017

[BibTeX]

Published Paper

Inserted: 10 oct 2017
Last Updated: 10 oct 2017

Journal: IMA Journal of Applied Mathematics
Volume: 81
Number: 6
Pages: 1051-1075
Year: 2016
Doi: doi:10.1093/imamat/hxw044
Links: link to the article online: IMA Journal of Applied Mathematics

Abstract:

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

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