
110 Friction-Induced Vibration and Self-Organization
The component notation of this equation is
λ+ +=ρ
=Gu Gu
u
k()
ˆˆ
,2)
jjkkjj
k
,,
(6.17)
The well-known solution of Equation (6.17) constitutes propagating elastic
waves in the materials. Two types of elastic waves are possible in the body
of an innite elastic space: the so-called P-waves, or dilatational waves, and
the so-called S-waves, or shear waves (Figure6.2a and b). For the dilatational
waves, the displacement of the vibrating particles of the material occurs in
the same direction as the direction of wave propagation. Thus, for a wave
propagating in the x-direction in an innite elastic ...