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Existence and uniqueness of dynamic evolutions for a one dimensional debonding model with damping

TitleExistence and uniqueness of dynamic evolutions for a one dimensional debonding model with damping
Publication TypePreprint
2018
AuthorsRiva, F, Nardini, L
Document NumberSISSA;28/2018/MATE

In this paper we analyse a one-dimensional debonding model for a thin film peeled
from a substrate when friction is taken into account. It is described by the weakly damped wave equation whose domain, the debonded region, grows according to a Griffth's criterion. Firstly we prove that the equation admits a unique solution when the evolution of the debonding front is assigned. Finally we provide an existence and uniqueness result for the coupled problem given by the wave equation together with Griffth's criterion.

http://preprints.sissa.it/handle/1963/35319

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