Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation
| dc.contributor.area | Mathematics | en_US |
| 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.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.identifier.uri | https://openscience.sissa.it/handle/1963/35307 | |
| dc.language.iso | en | en_US |
| dc.miur.area | 1 | en_US |
| dc.relation.firstpage | 1 | en_US |
| dc.relation.ispartofseries | SISSA;06/2018/MATE | |
| dc.relation.lastpage | 24 | en_US |
| 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 |