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On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One
Authors:Giuliano?Lazzaroni  author-information"  >  author-information__contact u-icon-before"  >  mailto:giuliano.lazzaroni@univie.ac.at"   title="  giuliano.lazzaroni@univie.ac.at"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author  author-information__orcid u-icon-before icon--orcid u-icon-no-repeat"  >  http://orcid.org/---"   itemprop="  url"   title="  View OrcID profile"   target="  _blank"   rel="  noopener"   data-track="  click"   data-track-action="  OrcID"   data-track-label="  "  >View author&#  s OrcID profile,Lorenzo?Nardini
Affiliation: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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