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.

Local and non-local energies in adhesive interaction / Maddalena, Francesco; Percivale, Danilo; Tomarelli, Franco. - In: IMA JOURNAL OF APPLIED MATHEMATICS. - ISSN 0272-4960. - STAMPA. - 81:6(2016), pp. 1051-1075. [10.1093/imamat/hxw044]

Local and non-local energies in adhesive interaction

MADDALENA, Francesco;
2016-01-01

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.
2016
Local and non-local energies in adhesive interaction / Maddalena, Francesco; Percivale, Danilo; Tomarelli, Franco. - In: IMA JOURNAL OF APPLIED MATHEMATICS. - ISSN 0272-4960. - STAMPA. - 81:6(2016), pp. 1051-1075. [10.1093/imamat/hxw044]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/93276
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