Existence and uniqueness of dynamic evolutions for a one dimensional debonding model with damping
Loading...
Date
2018-07-16
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this paper we analyse a one-dimensional debonding model for a thin film peeled
from a substrate when friction is taken into account. It is described by the weakly damped wave equation whose domain, the debonded region, grows according to a Griffth's criterion. Firstly we prove that the equation admits a unique solution when the evolution of the debonding front is assigned. Finally we provide an existence and uniqueness result for the coupled problem given by the wave equation together with Griffth's criterion.
Description
Keywords
Thin films, Dynamic debonding, Wave equation in time-dependent domains, Duhamel's principle, Dynamic energy release rate, Energy-dissipation balance, Maximum dissipation principle, Griffith's criterion