On the 1D wave equation in time-dependent domains and the problem of debond initiation

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dc.contributor.areaMathematicsen_US
dc.contributor.authorLazzaroni, Giuliano
dc.contributor.authorNardini, Lorenzo
dc.date.accessioned2017-12-04T07:54:16Z
dc.date.available2017-12-04T07:54:16Z
dc.date.issued2017
dc.description.abstractMotivated by a debonding model for a thin film peeled from a substrate, we analyse the one-dimensional wave equation, in a time-dependent domain which is degenerate at the initial time. In the first part of the paper we prove existence for the wave equation when the evolution of the domain is given; in the second part of the paper, the evolution of the domain is unknown and is governed by an energy criterion coupled with the wave equation. Our existence result for such coupled problem is a contribution to the study of crack initiation in dynamic fracture.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35302
dc.language.isoenen_US
dc.publisherSISSAen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;56/2017/MATE
dc.relation.lastpage18en_US
dc.subjectWave equation in time-dependent domainsen_US
dc.subjectSingularitiesen_US
dc.subjectDynamic debondingen_US
dc.subjectDynamic energy release rateen_US
dc.subjectGriffth's criterionen_US
dc.subjectDynamic fractureen_US
dc.subjectCrack initiationen_US
dc.subjectThin filmsen_US
dc.titleOn the 1D wave equation in time-dependent domains and the problem of debond initiationen_US
dc.typePreprinten_US
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