This paper investigates the effects of anisotropy and inhomogeneity on
surface waves in elastic media. Exponential variation in properties a
re assumed for the elastic parameters and material density. The classi
cal equations of motion for propagation of waves in an inhomogeneous t
ransversely isotropic elastic solid are deduced. The equations of moti
on for surface waves are derived and general surface waves are investi
gated. This general theory is then utilized to investigate Rayleigh, L
ove and Stoneley waves. Results obtained in the above cases reduce to
the corresponding well-known classical results when inhomogeneity and
anisotropy are not present. It is seen that inhomogeneity has signific
ant effects on dispersion characteristics. Numerical calculations are
included for Love waves and some conclusions have been drawn from the
above calculations.