Calculus of Variations and Geometric Measure Theory

R. Scala

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

created by scala on 30 Nov 2015
modified on 11 May 2017

[BibTeX]

Accepted on Interfaces Free Bound.

Inserted: 30 nov 2015
Last Updated: 11 may 2017

Year: 2015

Abstract:

We consider a system of two viscoelastic bodies attached on one edge by an adhesive where a delamination process occurs. We study the dynamic of the system 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.