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On the approximation of quasistatic evolutions for the debonding of a thin film viavanishing inertia and viscosity

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dc.contributor.author Riva, Filippo
dc.date.accessioned 2019-06-24T09:00:14Z
dc.date.available 2019-06-24T09:00:14Z
dc.date.issued 2019-06-24
dc.identifier.uri http://preprints.sissa.it:8180/xmlui/handle/1963/35335
dc.description.abstract In this paper we contribute to studying the issue of quasistatic limit in the context of Griffith’s theory by investigating a one-dimensional debonding model. It describes the evolution of a thin film partially glued to a rigid substrate and subjected to a vertical loading. Taking friction into account and under suitable assumptions on the toughness of the glue, we prove that, in contrast to what happens in the undamped case, dynamic solutions converge to the quasistatic one when inertia and viscosity go to zero, except for a possible discontinuity at the initial time. We then characterise the size of the jump by means of an asymptotic analysis of the debonding front. en_US
dc.language.iso en en_US
dc.subject thin films en_US
dc.subject dynamic debonding en_US
dc.subject quasistatic debonding en_US
dc.subject Griffith's criterion en_US
dc.subject quasistatic limit en_US
dc.subject vanishing inertia en_US
dc.subject viscosity limit en_US
dc.title On the approximation of quasistatic evolutions for the debonding of a thin film viavanishing inertia and viscosity en_US
dc.type Preprint en_US


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