@article {2018,
	title = {Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition},
	number = {SISSA;04/2018/MATE},
	year = {2018},
	abstract = {We consider a model of elastodynamics with fracture evolution, based on
energy-dissipation balance and a maximal dissipation condition. We prove an existence
result in the case of planar elasticity with a free crack path, where the maximal dissipation
condition is satisfied among suitably regular competitor cracks.},
	url = {http://preprints.sissa.it/handle/1963/35308},
	author = {Gianni Dal Maso and Cristopher J. Larsen and Rodica Toader}
}
@article {2015,
	title = {Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition},
	year = {2015},
	abstract = {There are very few existence results for fracture evolution, outside of globally minimizing quasi-static evolutions.  Dynamic evolutions are particularly problematic, due to the difficulty of showing energy balance, as well as of showing that solutions obey a maximal dissipation condition, or some similar condition that prevents stationary cracks from always being solutions.  Here we introduce a new weak maximal dissipation condition and show that it is compatible with cracks constrained to grow smoothly on a smooth curve.  In particular, we show existence of dynamic fracture evolutions satisfying this maximal dissipation condition, subject to the above smoothness constraints, and exhibit explicit examples to show that this maximal dissipation principle can indeed rule out stationary cracks as solutions.},
	url = {http://urania.sissa.it/xmlui/handle/1963/35045},
	author = {Gianni Dal Maso and Cristopher J. Larsen and Rodica Toader}
}
@article {2011,
	title = {Energy release rate and stress intensity factor in antiplane elasticity},
	journal = {Journal de Mathematiques Pures et Appliquees 95 (2011) 565-584},
	number = {SISSA;67/2009/M},
	year = {2011},
	publisher = {Elsevier},
	abstract = {In the setting of antiplane linearized elasticity, we show the existence of the stress intensity factor and its relation with the energy release rate when the crack path is a C1,1 curve. Finally, we show that the energy release rate is continuous with respect to the Hausdorff convergence in a class of admissible cracks.},
	doi = {10.1016/j.matpur.2011.01.001},
	url = {http://hdl.handle.net/1963/3780},
	author = {Giuliano Lazzaroni and Rodica Toader}
}
