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Second-order variation in elastic fields of a tensile planar crack with a curved front M. Adda-Bedia and E. Katzav
 

Summary: Second-order variation in elastic fields of a tensile planar crack with a curved front
M. Adda-Bedia and E. Katzav
Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 24 rue Lhomond, F-75231 Paris Cedex 05, France
D. Vandembroucq
Surface du Verre et Interfaces, Unité Mixte de Recherche CNRS/Saint-Gobain, 39 Quai Lucien Lefranc,
93303 Aubervilliers Cedex, France
Received 23 December 2005; published 30 March 2006
We derive the second-order variation in the local static stress intensity factor of a tensile crack with a curved
front. We then discuss the relevance of this result to the stability analysis of such fronts, and propose an
equation of motion of planar crack fronts in heterogeneous media that contains two main ingredients--
irreversibility of the propagation of the crack front and nonlinear effects.
DOI: 10.1103/PhysRevE.73.035106 PACS number s : 62.20.Mk, 64.60.Ht, 81.40.Np
The propagation of a crack front in a brittle material is the
playground of a number of physical phenomena, which range
from dynamic instabilities of fast moving cracks 1 to qua-
sistatic instabilities of crack paths 2,3 , or of crack fronts
4­8 . Although the actual theory of brittle fracture mechan-
ics succeeded to explain a number of instabilities, the experi-
mentally observed self-affine roughness of a crack front
propagating through a heterogeneous medium remains the

  

Source: Adda-Bedia, Mokhtar - Laboratoire de Physique Statistique, Département de Physique, École Normale Supérieure

 

Collections: Physics