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Morphological instabilities of dynamic fractures in brittle solids Mokhtar Adda-Bedia, Martine Ben Amar, and Yves Pomeau*
 

Summary: Morphological instabilities of dynamic fractures in brittle solids
Mokhtar Adda-Bedia, Martine Ben Amar, and Yves Pomeau*
Laboratoire de Physique Statistique, Ecole Normale Supe´rieure, 24 rue Lhomond, F-75231 Paris Cedex 05, France
Received 4 April 1996
We present a study of the stress fields in the neighborhood of a moving crack tip in the framework of linear
elastic fracture mechanics. This approach is found to be physically relevant for a large range of the crack
speeds. We show that the stability analyses based on conditions of attainment of a critical tensile stress on
some plane are inadequate to describe the instabilities of the crack path. A study of the largest principal stress
in the neighborhood of the crack surface is reported. We show that at ``low'' crack velocities the path of the
crack extension is an opening mode. However, this property disappears when the crack speed exceeds a critical
velocity Vc and reappears again beyond a faster speed VB , but at a different orientation from that of pure
opening mode. These variations have been interpreted as the onset of roughening and branching instabilities.
S1063-651X 96 05511-0
PACS number s : 03.40. t, 62.20.Mk, 46.30.Nz, 81.40.Np
I. INTRODUCTION
Dynamic brittle fracture experiments have always shown
many puzzling phenomena 1­3 . However, the recent series
of experiments 4­7 have clearly and definitely established
that these phenomena are related to fundamental physical
processes, such as crack speed, crack branching, surface

  

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

 

Collections: Physics