The Transformation of the Wave Front at the Transversely Elastic Medium with Variable Properties

Abstract

This paper solves the basis of the ray-path method, the problem about the wave propagation and transformation, which are generated by the shock pressure field in the spherical enclosure of the transversely isotropic elastic medium with the non-uniform density and non-uniform parameters. The techniques for construction of evolving system of the fronts and rays are proposed. The geometric singularity forms on the front surfaces for the different values of the both anisotropy and heterogeneity elastic medium are analyzed The problem about propagation and transformation of discontinuous wave fronts in transversely isotropic heterogeneous elastic media is investigated.