Calculus of Variations and Geometric Measure Theory
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M. Caponi

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

created by caponi on 05 Mar 2018
modified on 13 Jul 2019

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Submitted Paper

Inserted: 5 mar 2018
Last Updated: 13 jul 2019

Year: 2018
Notes:

Preprint SISSA 06$/$2018$/$MATE


Abstract:

We propose a phase-field model of dynamic fracture based on the Ambrosio-Tortorelli's approximation, which takes into account dissipative effects due to the speed of the crack tips. By 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.


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