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

On the quasistatic limit of dynamic evolutions for a peeling test in dimension one

created by lazzaroni on 15 Nov 2016
modified on 13 Jan 2018

[BibTeX]

Published Paper

Inserted: 15 nov 2016
Last Updated: 13 jan 2018

Journal: J. Nonlinear Sci.
Volume: 28
Pages: 269-304
Year: 2018
Doi: 10.1007/s00332-017-9407-0

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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