Inserted: 30 jan 2016
Last Updated: 10 mar 2021
Journal: J. Differential Equations
Links: Journal website
In this paper we present a one-dimensional model of a dynamic peeling test for a thin film, where the wave equation is coupled with a Griffith criterion for the propagation of the debonding front. Our main results provide existence and uniqueness for the solution to this coupled problem under different assumptions on the data.
Keywords: Thin films, Griffith's criterion, Dynamic debonding, Wave equation in time-dependent domains, Dynamic energy release rate, Energy-dissipation balance, Maximum dissipation principle, Dynamic fracture