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.
Radial solutions for a dynamic debonding model in dimension two / Lazzaroni, G.; Molinarolo, R.; Solombrino, F.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 219:(2022), p. 112822. [10.1016/j.na.2022.112822]
Radial solutions for a dynamic debonding model in dimension two
Molinarolo R.;Solombrino F.
2022
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
