Energy release rate for non smooth cracks in planar elasticity
  This paper is devoted to the characterization of the energy release rate of a crack 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 convergence to the corresponding positively $1/2$-homogenous function in the cracked plane is established. Then, the energy release rate is obtained as the derivative of the elastic energy with respect to an infinitesimal additional crack increment. 
Jean-Fran\c{c}ois Babadjian (LJLL), Antonin Chambolle (CMAP), Antoine   Lemenant (LJLL)
math.AP