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

Simple item page
dc.contributor.authorRiva, Filippo
dc.date.accessioned2019-06-24T09:00:14Z
dc.date.available2019-06-24T09:00:14Z
dc.date.issued2019-06-24
dc.description.abstractIn 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.identifier.urihttps://openscience.sissa.it/handle/1963/35335
dc.language.isoenen_US
dc.subjectthin filmsen_US
dc.subjectdynamic debondingen_US
dc.subjectquasistatic debondingen_US
dc.subjectGriffith's criterionen_US
dc.subjectquasistatic limiten_US
dc.subjectvanishing inertiaen_US
dc.subjectviscosity limiten_US
dc.titleOn the approximation of quasistatic evolutions for the debonding of a thin film viavanishing inertia and viscosityen_US
dc.typePreprinten_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
PREPRINT_On the approximation of quasistatic evolutions.pdf
Size:
559.32 KB
Format:
Adobe Portable Document Format
Description:
preprint
Download
Collections
Preprints