Radial solutions for a dynamic debonding model in dimension two

In this paper we deal with a debonding model for a thin film in dimension two, where the wave equation on a time-dependent domain is coupled with a flow rule (Griffith's principle) for the evolution of the domain. We propose a general definition of energy release rate, which is central in the formulation of Griffith's criterion. Next, by means of an existence result, we show that such definition is well posed in the special case of radial solutions, which allows us to employ representation formulas typical of one-dimensional models. (C) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper deals with a debonding model for a thin film in two-dimensional space, involving the wave equation and a flow rule for the evolution of the domain. A general definition of energy release rate is proposed and well posed for radial solutions, allowing for the use of representation formulas typical of one-dimensional models.