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On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One
Authors:Email authorEmail author  Lorenzo?Nardini
Institution:1.Faculty of Mathematics,University of Vienna,Vienna,Austria;2.SISSA,Trieste,Italy
Abstract:The aim of this paper is to study the quasistatic limit of a one-dimensional model of dynamic debonding. We start from a dynamic problem that strongly couples the wave equation in a time-dependent domain with Griffith’s criterion for the evolution of the domain. Passing to the limit as inertia tends to zero, we find that the limit evolution satisfies a stability condition; however, the activation rule in Griffith’s (quasistatic) criterion does not hold in general, thus the limit evolution is not rate-independent.
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