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Journal of the Mechanics and Physics of Solids 51 (2003) 18491861

Summary: Journal of the Mechanics and Physics of Solids
51 (2003) 1849­1861
Self-sustained slip pulses of ˙nite size between
dissimilar materials
M. Adda-Bedia, M. Ben Amar
Laboratoire de Physique Statistique de l'Ecole Normale SupĂerieure, 24 rue Lhomond,
F-75231 Paris Cedex 05, France
Received 11 April 2002; accepted 31 March 2003
The problem of a steady-state slip pulse of ˙nite size between dissimilar materials is studied. It
is shown that for a Coulomb friction law, there is a continuous set of possible solutions for any
slip propagation velocity and any slip length. These solutions are, however, nonphysical because
they show a singular behaviour of the slip velocity at one extremity of the pulse, which implies a
crack-like behaviour. In order to regularize these solutions, we introduce a modi˙ed friction law
due to Prakash and Clifton (Experimental Techniques in the Dynamics of Deformable Solids,
Vol. AMD-165, pp. 33­48; J. Tribol. 120 (1998) 97), which consists in introducing in the
Coulomb friction law a relaxation time for the response of the shear stress to a sudden variation
of the normal stress. Then, we show that even for a slip velocity-dependent characteristic time,
the degeneracy of the solutions is not suppressed and a physical pulse is not selected. This


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


Collections: Physics