Existence and uniqueness of dynamic evolutions for a peeling test in dimension one

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Date
2016
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SISSA
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.
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Keywords
Dynamic debonding, wave equation in time-dependent domains, dynamic energy release rate, energy-dissipation balance, maximum dissipation principle, Griffith's criterion, thin films, dynamic fracture
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