Ys. Wang et Gl. Yu, Re-polarization of elastic waves at a frictional contact interface - II. Incidence of a P or SV wave, INT J SOL S, 36(30), 1999, pp. 4563-4586
This is Part II of a two-part paper which analyses the re-polarization of e
lastic waves at a frictional contact interface between two solids. The re-p
olarization of SH waves was solved in Part I by the use of the Fourier anal
ysis. Here, in Part II, we consider the re-polarization of P or SV waves. I
t is assumed that the two solids are pressed together and, at the same time
, loaded by anti-plane and in-plane shearing traction. If the incident wave
is sufficiently strong, localized separation and slip may take place at th
e interface. As a result, the incident in-plane wave is re-polarized at the
interface so that the anti-plane waves (SH waves) are induced. Using the m
ethod similar to that of Part I and considering the boundary conditions inv
olving separation and slip, we manage to reduce the problem to a set of alg
ebraic equations coupled with simple integral equations. An iterative metho
d is developed based on the solution to the perfectly bonded interface. The
locations and sizes of the separation and slip zones, the interface tracti
on, the slip velocities, the global sliding velocities and the energy dissi
pation and partition are displayed for the case of two identical materials.
It is found that the separation zones and the gaps are independent of the
induced waves. (C) 1999 Elsevier Science Ltd. All rights reserved.