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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorRiva, Filippo
dc.contributor.authorNardini, Lorenzo
dc.date.accessioned2018-07-16T13:11:24Z
dc.date.available2018-07-16T13:11:24Z
dc.date.issued2018-07-16
dc.description.abstractIn 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.en_US
dc.identifier.sissaPreprint28/2018/MATE
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35319
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;28/2018/MATE
dc.relation.lastpage35en_US
dc.subjectThin filmsen_US
dc.subjectDynamic debondingen_US
dc.subjectWave equation in time-dependent domainsen_US
dc.subjectDuhamel's principleen_US
dc.subjectDynamic energy release rateen_US
dc.subjectEnergy-dissipation balanceen_US
dc.subjectMaximum dissipation principleen_US
dc.subjectGriffith's criterionen_US
dc.titleExistence and uniqueness of dynamic evolutions for a one dimensional debonding model with dampingen_US
dc.typePreprinten_US
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