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Path Prediction of Kinked and Branched Cracks in Plane Situations M. AddaBedia

Summary: Path Prediction of Kinked and Branched Cracks in Plane Situations
M. Adda­Bedia
Laboratoire de Physique Statistique de l'Ecole Normale Supe´rieure, 24 Rue Lhomond, 75231 Paris Cedex 05, France*
(Received 10 July 2004; published 28 October 2004)
Using the asymptotic expansion of the stress field ahead a curved extension of a straight crack, some
general results on the paths selected by kinked and branched cracks are derived. When dealing with the
dynamic branching instability of a single propagation crack, the experimentally observed shape of the
branches is recovered without introducing any adjustable parameter. It is shown that the length scale
introduced by the curved extension of the branches is given by the geometrical length scale of the
experiment. The theoretical results agree quantitatively with the experimental findings.
DOI: 10.1103/PhysRevLett.93.185502 PACS numbers: 62.20.Mk, 46.50.+a, 81.40.Np, 83.60.Uv
The field of fracture mechanics is concerned with the
quantitative description of the mechanical state of a de-
formable body containing a crack or cracks. The contin-
uum theory of fracture mechanics studies the nucleation
of cracks, the conditions for which they propagate and
their dynamics [1,2]. In the framework of continuum
theory of brittle fracture, the relationship between inter-
nal stress and deformation and the pertinent balance laws
of physics dealing with mechanical quantities do not


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


Collections: Physics