Published Paper
Inserted: 30 jan 2016
Last Updated: 10 mar 2021
Journal: J. Differential Equations
Volume: 261
Pages: 4897-4923
Year: 2016
Doi: https://doi.org/10.1016/j.jde.2016.07.012
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Abstract:
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
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