Energy release rate for non smooth cracks in planar elasticity - Archive ouverte HAL Access content directly
Journal Articles Journal de l'École polytechnique — Mathématiques Year : 2015

Energy release rate for non smooth cracks in planar elasticity

(1) , (2) , (1)
1
2

Abstract

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.
Fichier principal
Vignette du fichier
BCL9R_FINAL.pdf (328.91 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

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

Identifiers

Cite

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⟩
339 View
127 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More