Zero-curvature transonic states and one-component surface waves in anisotropic elastic media

Abstract

The existence of one-component surface waves requires a degeneracy in the Stroh sextic equation. An extraordinary zero-curvature transonic state, a point on the slowness surface where both the curvature and its first derivative equal zero, will yield a triple degeneracy in the Stroh equation. Relationship between extraordinary zero-curvature transonic states and one-component surface waves is investigated showing that they are linked via a space of degeneracy associated with the Stroh equation. Moreover, some generalized subsonic surface waves containing generalized Stroh eigenvectors are also found along the space of degeneracy.