Existence of second slip waves in anisotropic elastic media

Abstract

Existence of subsonic second slip waves, a variant of interfacial (Stoneley) waves, is investigated using the Stroh sextic formalism. We have examined the second slip wave propagating along an interface between two identical half-infinite anisotropic media which have the same orientation. Special attention is paid to exceptional transonic states where the appearance of a certain bulk wave may prevent the existence of the second slip wave. By examining the impedance tensor at various transonic states, we formulate an existence theorem for second slip waves. Numerical examples are shown for materials with various symmetries, which give convincing evidence for the existence of second slip waves.