Abstract
The Kelvin modes of isotropic elasticity are the dilatational mode and the deviatoric mode. Kelvin modes may be defined for all the anisotropic elastic symmetries. It is shown here that any plane wave may be considered as the sum of propagating Kelvin modes, but that the only Kelvin mode that will propagate by itself as a plane wave in any anisotropic elastic material (except a material with triclinic symmetry) is a single simple shear mode. However, other Kelvin modes may propagate in special elastic materials and single simple shear modes may propagate in special triclinic materials. These results generalized the paradigm of the shear and pressure waves of linear isotropic elasticity to all plane waves in anisotropic elasticity.
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