Surface waves in presented elastic media

Abstract

Biot (1965) has shown that an otherwise isotopic elastic material may possess an apparent or induced anisotropy if the initial static stress is taken into account. In this paper we examine in detail the propogation of surface waves in prestessed elastic media with incremental elastic coefficients possessing orthotropic symmetry. Three problems have been discussed: Rayleigh waves in a uniform haf-space, Stoneley waves ina half-space lying over another half-space, and love waves in a layer lying over a half-space. Since the method of potentials, used by some earlier investigators, is, in general, not applicable in the case of prestressed media, the problem of Rayleigh and Stoneley waves have been solved by a direct method, without introducing the displacement potentials.