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Int J Fract (2007) 143:245271 DOI 10.1007/s10704-007-9061-x

Summary: Int J Fract (2007) 143:245­271
DOI 10.1007/s10704-007-9061-x
Theory of dynamic crack branching in brittle materials
E. Katzav · M. Adda-Bedia · R. Arias
Received: 5 September 2006 / Accepted: 20 February 2007 / Published online: 11 April 2007
© Springer Science+Business Media B.V. 2007
Abstract The problem of dynamic symmetric
branching of a tensile crack propagating in a brittle
material is studied within Linear Elastic Fracture
Mechanics theory. The Griffith energy criterion
and the principle of local symmetry provide nec-
essary conditions for the onset of dynamic branch-
ing instability and for the subsequent paths of the
branches. The theory predicts a critical velocity
for branching and a well defined shape described
by a branching angle and a curvature of the side
branches. The model rests on a scenario of crack
branching based on reasonable assumptions and
on exact dynamic results for the anti-plane branch-


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


Collections: Physics