JOT Abstract
Dilatational and Shear Waves Induced by the
Frictional Sliding of Two Elastic Half-Spaces
M. Nosonovsky and G.G. Adams
Summary
The nominally steady state frictional sliding of two flat elastic
half-spaces is investigated. It is shown that steady sliding is
compatible with the formation of a pair of body waves (dilatational and
shear) in each body radiated away from the sliding interface. Each
wave propagates at a different angle such that the trace velocities
along the interface are equal. The angles of propagation are
determined by the material properties and by the coefficient of sliding
friction. The wave amplitudes are subject only to the restriction that
the perturbations in interface contact pressure and relative tangential
velocity satisfy the inequality constraints for unilateral sliding
contact. Furthermore these waves are shown to exist for a variety
of frictional sliding laws, including speed-dependent and
speed-independent friction. Finally it is shown that a slip-pulse can
exist which allows the two bodies to undergo relative tangential motion
with a ratio of applied shear to normal stress which is less than the
friction coefficient.
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