Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Preprint |
| Argitaratua: |
2019
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| Gaiak: | |
| Sarrera elektronikoa: | https://arxiv.org/abs/1908.01986 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- 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 [C.J. Larsen, C. Ortner, and E. Süli, Math. Models Methods Appl. Sci. (2010)], we show the existence of a dynamic crack evolution satisfying an energy-dissipation balance, according to Griffith's criterion. Finally, we analyze the dynamic phase-field model of [B. Bourdin, C.J. Larsen, and C.L. Richardson, Int. J. Fracture (2011)] and [C.J. Larsen, IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials (2010)] with no dissipative terms.