Rayleigh type bending waves in anisotropic media

The existence, dispersion properties, velocities and energy of waves, localized near the stress-free edge of thin anisotropic plates are investigated. As shown, some qualitatively new effects occur: the velocity of Rayleigh type waves can be not minimal between bending waves; wave decay takes place with oscillations; under some type of anisotropy, power flow can equal zero and can change the sign. The well-known Leontovich-Lighthill theorem does not hold any longer, despite the same sign of the phase and group velocities the power flow can have the same or opposite sign.