Calculus of Variations and Geometric Measure Theory

G. Dal Maso - G. Lazzaroni - L. Nardini

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

created by nardini on 30 Jan 2016
modified by lazzaroni on 10 Mar 2021


Published Paper

Inserted: 30 jan 2016
Last Updated: 10 mar 2021

Journal: J. Differential Equations
Volume: 261
Pages: 4897-4923
Year: 2016
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