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EnglishIn the setting of antiplane linearized elasticity, we show the existence of quasistatic evolutions of cracks in brittle materials by using a vanishing viscosity approach, thus taking into account local minimization. The main feature of our model is that the path followed by the crack need not be prescribed a priori: indeed, it is found as the limit (in the sense of Hausdorff convergence) of curves obtained by an incremental procedure. The result is based on a continuity property for the energy release rate in a suitable class of admissible cracks.
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http://hdl.handle.net/20.500.11767/32763| Titolo: | A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION |
| Autori: | Lazzaroni G; Toader R |
| Rivista: | MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES |
| Data di pubblicazione: | 2011 |
| Volume: | 21 |
| Fascicolo: | 10 |
| Pagina iniziale: | 2019 |
| Pagina finale: | 2047 |
| Digital Object Identifier (DOI): | 10.1142/S0218202511005647 |
| Appare nelle tipologie: | 1.1 Journal article |
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