On the velocity of the Rayleigh wave propagating along curvilinear surfaces

In order to investigate propagation of the Rayleigh waves on curvilinear boundaries, we consider wave propagation along cylindrical and spherical surfaces. For the elastic media with the indicated boundaries, we construct exact solutions of equations of the theory of elasticity and use asymptotics of Hankel and Legendre functions. On the basis of comparison of results, we make assumption about dependence of velocity of the Rayleigh wave on the small curvature of route and on the small curvature in perpendicular direction. Bibl. – 7 titles.