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On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One

TitleOn the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One
Publication TypeJournal Article
Year of Publication2018
AuthorsLazzaroni, G, Nardini, L
JournalJournal of Nonlinear Science
Volume28
Pagination269–304
Date PublishedFeb
ISSN1432-1467
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.

URLhttps://doi.org/10.1007/s00332-017-9407-0
DOI10.1007/s00332-017-9407-0

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