Radial solutions for a dynamic debonding model in dimension two
Analysis of PDEs
2020-12-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2012.04993,
title = {Radial solutions for a dynamic debonding model in dimension two},
author = {Giuliano Lazzaroni and Riccardo Molinarolo and Francesco Solombrino},
journal= {arXiv preprint arXiv:2012.04993},
year = {2020}
}