Energy release rate for non smooth cracks in planar elasticity

نویسندگان

  • Jean-François Babadjian
  • Antonin Chambolle
  • Antoine Lemenant
  • JEAN-FRANÇOIS BABADJIAN
  • ANTONIN CHAMBOLLE
  • A. LEMENANT
چکیده

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.

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تاریخ انتشار 2017