ABSTRACT
For a bulk medium in three dimensions, we look for plane wave solutions in the form
(11.4)
Tij cijklSkl=
Tij cijkl 2
------
∂uk ∂xl -------
cijkl 2
------
∂ul ∂xk -------+=
Tij cijkl ∂ul ∂xk -------=
∂Tij ∂xj --------- ρ∂
---------=
ρ∂ 2ui
∂t2 --------- cijkl
∂ 2ul ∂xj∂xk ---------------=
ul u0l j ωt k-r•( )exp=
where the propagation vector is normal to planes of constant phase. Writing (
n
,
n
,
n
) as a unit vector perpendicular to the wave front, we have
(11.5)
where
V
is the phase velocity. For simplicity the subscript
P
is dropped in this section.
