SISSA Preprints

Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation

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dc.contributor.author Caponi, Maicol
dc.date.accessioned 2018-03-05T16:29:01Z
dc.date.available 2018-03-05T16:29:01Z
dc.date.issued 2018
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35307
dc.description.abstract We propose a phase-field model of dynamic crack propagation based on the Ambrosio-Tortorelli approximation, which takes in account dissipative effects due to the speed of the crack tips. In particular, adapting the time discretization scheme contained in [Bourdin et al., Int. J. Fracture 168 (2011), 133-143] and [Larsen et al., Math. Models Methods Appl. Sci. 20 (2010), 1021-1048], we show the existence of a dynamic crack evolution satisfying an energy dissipation balance, according to Griffith's criterion. en_US
dc.language.iso en en_US
dc.relation.ispartofseries SISSA;06/2018/MATE
dc.subject dynamic fracture mechanics en_US
dc.subject phase field approximation en_US
dc.subject energy balance en_US
dc.subject crack path en_US
dc.title Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.relation.firstpage 1 en_US
dc.relation.lastpage 24 en_US


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