@article { ISI:000296627000002,
	title = {A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION},
	journal = {{MATHEMATICAL MODELS \& METHODS IN APPLIED SCIENCES}},
	volume = {{21}},
	number = {{10}},
	year = {2011},
	month = {{OCT}},
	pages = {{2019-2047}},
	publisher = {{WORLD SCIENTIFIC PUBL CO PTE LTD}},
	type = {{Article}},
	address = {{5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}},
	abstract = {<p>{In 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.}</p>},
	keywords = {Brittle fracture, Crack propagation, energy derivative, energy release rate, free-discontinuity problems, Griffith{\textquoteright}s criterion, local minimizers, stress intensity factor}, vanishing viscosity, {Variational models},
	issn = {{0218-2025}},
	doi = {{10.1142/S0218202511005647}},
	author = {Giuliano Lazzaroni and Rodica Toader}
}
