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Article Dans Une Revue Journal de l'École polytechnique — Mathématiques Année : 2015

Energy release rate for non smooth cracks in planar elasticity

Résumé

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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Dates et versions

hal-01015179 , version 1 (26-06-2014)

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Jean-François Babadjian, Antonin Chambolle, Antoine Lemenant. Energy release rate for non smooth cracks in planar elasticity. Journal de l'École polytechnique — Mathématiques, 2015, 2, pp.117-152. ⟨hal-01015179⟩
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