Interfaces and Free Boundaries


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Volume 19, Issue 1, 2017, pp. 79–107
DOI: 10.4171/IFB/377

Published online: 2017-05-23

A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint

Riccardo Scala[1]

(1) Universidade de Lisboa, Portugal

We consider a system of two viscoelastic bodies attached on one side by an adhesive where a delamination process occurs. We study the dynamic of the system for small strains, subjected to external forces, suitable boundary conditions, and an unilateral constraint on the jump of the displacement at the interface between the bodies. The constraint arises in a graph inclusion, while the delamination coefficient evolves in a rate-independent way. We prove the existence of a weak solution to the corresponding system of PDEs.

Keywords: Second order parabolic equation, viscoelasticity, energetic formulation, delamination, adhesion, rate-independent system, unilateral constraint

Scala Riccardo: A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint. Interfaces Free Bound. 19 (2017), 79-107. doi: 10.4171/IFB/377