Asymptotic Analysis of the Interfacial Crack with Friction
B. Audoly
Journal of the Mechanics and Physics of Solids vol. 48 p. 1851—1864, 2000

Download preprint in PDF format (205 Kb)

Abstract: We study a model of interface 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 $r^{-\honehalf}$ near the tip has been reported. In this paper, we demonstrate that these strong singularities can in fact be discarded, because they would suppose 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.


Basile Audoly
Laboratoire de modélisation en mécanique
Université Pierre et Marie Curie