Existence of one-component Rayleigh waves, Stoneley waves, Love waves, slip waves and one-component waves in a plate or layered plate

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 onecomponent 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 halfspace.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 p is real.By superposition of the onecomponent 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.is employed to find one-component surface waves.The solution shows that the displacement normal to the free surface vanishes everywhere.Hence one-component Rayleigh waves are also one-component slip waves in the half-space when the boundary of the half-space is a slippery surface.We proved in Section 4 that there are no other one-component slip waves in the half-space.Steady state waves propagating in a bimaterial of dissimilar anisotropic materials are studied in Section 5.If the interface is in sliding