Group velocity formulas for the symmetry planes of a stressed anisotropic elastic solid

摘要

This paper presents analytic formulas for the group velocity of quasilongitudinal, quasitransverse, and shear-horizontally (SH) polarized pure-transverse modes propagating in an arbitrary direction on the symmetry planes of a stressed anisotropic elastic medium with orthotropic or higher symmetry. The group velocity equations are expressed in terms of the thermodynamic elastic stiffness coefficients and stresses acting on the medium. An example is provided with a (001) silicon crystal compressed at uniaxial stress.