# The stress intensity factor for non-smooth fractures in antiplane elasticity

@article{Chambolle2011TheSI,
title={The stress intensity factor for non-smooth fractures in antiplane elasticity},
author={A. Chambolle and Antoine Lemenant},
journal={Calculus of Variations and Partial Differential Equations},
year={2011},
volume={47},
pages={589-610}
}
• Published 21 October 2011
• Mathematics
• Calculus of Variations and Partial Differential Equations
Motivated by some questions arising in the study of quasistatic growth in brittle fracture, we investigate the asymptotic behavior of the energy of the solution u of a Neumann problem near a crack in dimension 2. We consider non smooth cracks K that are merely closed and connected. At any point of density 1/2 in K, we show that the blow-up limit of u is the usual “cracktip” function $${C\sqrt{r}\sin(\theta/2)}$$ , with a well-defined coefficient (the “stress intensity factor” or SIF). The…
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