Explicit expression of polarization vector for surface waves, slip waves, Stoneley waves and interfacial slip waves in anisotropic elastic materials

• Explicit expressions of the polarization vectors are given.
• They are given for Rayleigh waves, slip waves and Stoneley waves.
• Unexpected results are obtained for polarization vector for interfacial slip waves.
• It does not depend explicitly on material in the other half-space.
• The special case of orthotropic materials is studied.

We present explicit expression of the polarization vector for surface waves and slip waves in an anisotropic elastic half-space, and Stoneley waves and interfacial slip waves in two dissimilar anisotropic elastic half-spaces. An unexpected result is that, in the case of interfacial slip waves, the polarization vector for the material in the half-space x2≥0x2≥0 does not depend explicitly on the material property in the half-space x2≤0x2≤0. It depends on the material property in the half-space x2≤0x2≤0 implicitly through the interfacial slip wave speed υυ. The same is true for the polarization vector for the material in the half-space x2≤0x2≤0.