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

TitleExistence of solutions to a phase field model of dynamic fracture with a crack dependent dissipation
Publication TypePreprint
2018
AuthorsCaponi, M
Document NumberSISSA;06/2018/MATE

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.

http://preprints.sissa.it/handle/1963/35307

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