# 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} }

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…

## 11 Citations

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In this work we first analyze the singular behavior of the displacement u of a linearly elastic body in dimension 2 close to the tip of a smooth crack, extending the well-known results for straight…

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