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Existence and uniqueness of dynamic evolutions for a peeling test in dimension one

TitleExistence and uniqueness of dynamic evolutions for a peeling test in dimension one
Publication TypeJournal Article
Year of Publication2016
AuthorsDal Maso, G, Lazzaroni, G, Nardini, L
JournalJournal of Differential Equations
Volume261
Pagination4897 - 4923
ISSN0022-0396
KeywordsDynamic debonding; Dynamic energy release rate; Dynamic fracture; Griffith's criterion; Maximum dissipation principle; Wave equation in time-dependent domains
Abstract

In this paper we present a one-dimensional model of a dynamic peeling test for a thin film, where the wave equation is coupled with a Griffith criterion for the propagation of the debonding front. Our main results provide existence and uniqueness for the solution to this coupled problem under different assumptions on the data.

URLhttp://www.sciencedirect.com/science/article/pii/S0022039616301772
DOI10.1016/j.jde.2016.07.012

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