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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.
A model for crack propagation based on viscous approximation / Lazzaroni, Giuliano; Toader, R.. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 21:10(2011), pp. 2019-2047. [10.1142/S0218202511005647]
| Titolo: | A model for crack propagation based on viscous approximation | |
| Autori: | Lazzaroni, Giuliano; Toader, R. | |
| Rivista: | ||
| Data di pubblicazione: | 2011 | |
| Volume: | 21 | |
| Fascicolo: | 10 | |
| Pagina iniziale: | 2019 | |
| Pagina finale: | 2047 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0218202511005647 | |
| Appare nelle tipologie: | 1.1 Journal article |
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http://hdl.handle.net/20.500.11767/32763
