Calculus of Variations and Geometric Measure Theory

G. Bonfanti - E. Davoli - R. Rossi - M. Thomas

From damage to delamination via evolutionary Gamma-convergence in a rate-independent quasibrittle regime

created by davoli on 29 Jun 2026
modified on 02 Jul 2026

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Submitted Paper

Inserted: 29 jun 2026
Last Updated: 2 jul 2026

Year: 2026

Abstract:

We analyze via Evolutionary Gamma-convergence a stratified composite structure consisting of a thin adhesive layer with vanishing thickness and undergoing rate-independent damage, as well as two adjacent elastic adherents. As the width of the intermediate layer tends to zero, we prevent complete degradation of the material by assuming that the damage variable scales minimally like the thickness of the adhesive layer. As a result, we identify a limiting model that combines both a brittle constraint and an adhesive-type energy contribution featuring the jump of the admissible displacements.

Keywords: adhesive contact, rate-independent damage, evolutionary Gamma-convergence, brittle constraint


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