It is known that one-component surface (Rayleigh) waves exist in an anisotropic
elastic half-space. Since the solution shows that the displacement normal to the free
surface vanishes everywhere, a one-component surface wave is also a one-component
slip wave in the half-space if the boundary of the half-space is a slippery surface. We
show that no other one-component slip waves exist for the half-space. As to steady
waves in a bimaterial that consists of two dissimilar anisotropic elastic materials,
one-component slip waves can be constructed from two one-component surface waves.
There are no other one-component slip waves for a bimaterial. By imposing the
continuity of the displacement at the interface on the one-component slip
wave, a one-component Stoneley wave is obtained. Although one-component
waves for the half-space can also propagate in a homogeneous plate, we
present new one-component waves in a plate for which the Stroh eigenvalue
is
real. By superposition of the one-component waves in the layer and in the half-space,
one-component Love waves can be constructed. Finally, we show that one-component
waves can propagate in a layered plate.
