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This paper is devoted to the characterization of the energy release rate of acrack which is merely closed, connected, and with density $1/2$ at the tip.First, the blow-up limit of the displacement is analyzed, and the convergenceto the corresponding positively $1/2$-homogenous function in the cracked planeis established. Then, the energy release rate is obtained as the derivative ofthe elastic energy with respect to an infinitesimal additional crack increment.

Energy release rate for non smooth cracks in planar elasticity