Analysis of a dynamic peeling test with speed-dependent toughness

dc.contributor.areaMathematicsen_US
dc.contributor.authorLazzaroni, Giuliano
dc.contributor.authorNardini, Lorenzo
dc.date.accessioned2017-09-04T06:35:59Z
dc.date.available2017-09-04T06:35:59Z
dc.date.issued2017
dc.description.abstractWe analyse a one-dimensional model of dynamic debonding for a thin film, where the local toughness of the glue between the film and the substrate also depends on the debonding speed. The wave equation on the debonded region is strongly coupled with Griffth's criterion for the evolution of the debonding front. We provide an existence and uniqueness result and find explicitly the solution in some concrete examples. We study the limit of solutions as inertia tends to zero, observing phases of unstable propagation, as well as time discontinuities, even though the toughness diverges at a limiting debonding speed.en_US
dc.identifier.sissaPreprint41/2017/MATE
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35292
dc.language.isoenen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;41/2017/MATE
dc.relation.lastpage19en_US
dc.subjectDynamic debondingen_US
dc.subjectWave equation in time-dependent domainsen_US
dc.subjectQuasistatic limiten_US
dc.subjectGriffth's criterionen_US
dc.subjectDynamic fractureen_US
dc.subjectThin filmsen_US
dc.titleAnalysis of a dynamic peeling test with speed-dependent toughnessen_US
dc.typePreprinten_US
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