In this paper we analyse a one-dimensional debonding model when viscosity is taken into account. It is described by the weakly damped wave equation whose domain, the debonded region, grows according to a Griffith’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 Griffith’s criterion.

Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping / Riva, F.; Nardini, L.. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - 21:1(2021), pp. 63-106. [10.1007/s00028-020-00571-4]

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

Riva F.
;
Nardini L.
2021-01-01

Abstract

In this paper we analyse a one-dimensional debonding model when viscosity is taken into account. It is described by the weakly damped wave equation whose domain, the debonded region, grows according to a Griffith’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 Griffith’s criterion.
21
1
63
106
10.1007/s00028-020-00571-4
https://arxiv.org/abs/1810.12006
Riva, F.; Nardini, L.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/124849
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