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Asymptotic study of the interfacial crack with friction

Summary: Asymptotic study
of the interfacial crack with friction
B. Audoly
Laboratoire de Physique Statistique de l'E┬cole Normale Supe┬rieure, associe┬ au CNRS, 24 rue Lhomond,
75231 Paris Cedex 05, France
Received 10 March 1999; received in revised form 15 November 1999
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 r└1a2
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


Source: Audoly, Basile - Institut Jean Le Rond D'Alembert, UniversitÚ Pierre-et-Marie-Curie, Paris 6


Collections: Materials Science; Physics