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Summary: Asymptotic study
of the interfacial crack with friction
B. Audoly
Laboratoire de Physique Statistique de l'EÂcole Normale SupeÂrieure, associe au CNRS, 24 rue Lhomond,
75231 Paris Cedex 05, France
Received 10 March 1999; received in revised form 15 November 1999
Abstract
We study a model of interfacial crack in which contact of the crack faces obeys a
Coulomb law of friction. For such cracks, the possibility that the stress has a stronger
singularity than rÀ1a2
near the tip has been reported. In this paper, we demonstrate that
these strong singularities can, in fact, be discarded, because they would assume a backward
propagation of the crack. In passing, we prove that near-tip slip is possible in one direction
only, which is imposed by the sign of the elastic mismatch. The locking of the stress
intensity factor during a non-monotonic cycle of loading is pointed out, as well as the
formation of a bubble near the tip under certain loading conditions. 7 2000 Elsevier
Science Ltd. All rights reserved.
Keywords: A. Fracture; B. Friction; B. Layered material; A. Stress intensity factor
1. Introduction
The understanding of the mechanical properties of layered materials is a
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