THE SURFACE STRESSES ON THE PROPAGATION OF ELASTIC WAVES

Abstract

The propagation of Rayleigh waves in non-homogeneous incompressible medium with an isotropic and homogeneous material boundary is studied. The period equation is obtained and it is compared with the corresponding equation of half-space with free boundary.

The frequency equation of Rayleigh waves in an incompressible non-local elastic medium under gravity effect is derived. This equation is solved numerically taking the particular form of non-local influence function as derived in lattice dynamics. The frequency is seen to decrease with an increase of gravity constant. The amount of decrease of frequency due to the increase of gravity, increases with the increase of wave number.

Rayleigh wave propagation in non-local elastic medium with material boundary is also studied. The important results of this study are: For a given material boundary the effect of the presence of non-locality is to increase the critical wave length. The velocity is an increasing function of Poisson’s ratio. And for a given material the velocity corresponding to non-local case is less than classical case.