Calculus of Variations and Geometric Measure Theory

G. Lazzaroni - R. Toader

Energy release rate and stress intensity factor in antiplane elasticity

created by lazzaroni on 16 Nov 2009
modified on 05 Oct 2012


Published Paper

Inserted: 16 nov 2009
Last Updated: 5 oct 2012

Journal: J. Math. Pures Appl.
Volume: 95
Pages: 565-584
Year: 2011



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 $C^{1,1}$ curve. Finally, we show that the energy release rate is continuous with respect to the Hausdorff convergence in a class of admissible cracks.