Rayleigh wave speeds in transversely isotropic materials

Abstract

Equations from which the Rayleigh (surface) wave speed can be determined are given for propagation on a transversely isotropic, linear elastic half-space. These equations are obtained from the vanishing of the determinant of a real symmetric second-order tensor which arises from the six-dimensional formalism of Barnett and Lothe [Modern Problems in Elastic Wave Propagation, edited by J. Miklowitz and J. D. Achenbach (Wiley, New York, 1978)]. To evaluate the components of this tensor, 18 integrals are evaluated explicitly. The resulting equations are discussed for a transversely isotropic aluminum aggregate with an idealized 〈111〉 texture.