Calculus of Variations and Geometric Measure Theory
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G. Lazzaroni - L. Nardini

Analysis of a dynamic peeling test with speed-dependent toughness

created by lazzaroni on 01 Sep 2017
modified on 08 Mar 2018

[BibTeX]

Accepted Paper

Inserted: 1 sep 2017
Last Updated: 8 mar 2018

Journal: SIAM J. Appl. Math.
Year: 2018

Abstract:

We analyse a one-dimensional model of dynamic debonding for a thin film, where the local toughness of the glue between the film and the substrate also depends on the debonding speed. The wave equation on the debonded region is strongly coupled with Griffith's criterion for the evolution of the debonding front. We provide an existence and uniqueness result and find explicitly the solution in some concrete examples. We study the limit of solutions as inertia tends to zero, observing phases of unstable propagation, as well as time discontinuities, even though the toughness diverges at a limiting debonding speed.


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