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 08 Mar 2018


Preprint SISSA 06/2018/MATE

Inserted: 5 mar 2018
Last Updated: 8 mar 2018

Year: 2018


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.


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