ANALYSIS OF THE MODEL OF SHEAR ELASTIC WAVES PROPAGATION IN A SEMI-INFINITE TRANSVERSALLY-ISOTROPIC FUNCTIONAL-GRADIENT GEOMASSIF
A new version of the model for describing the physical and mechanical properties of a semi-in nite array of a transversely isotropic functionally graded geomaterial with an isotropy axis orthogonal to the boundary plane and a direction of continuous inhomogeneity localized in the boundary zone and asymptotically smoothing in the depths of the array is presented. As applied to the proposed model, the problem of analytical integration of the equation for the propagation of harmonic elastic shear waves along an arbitrarily oriented direction parallel to the boundary plane is solved.