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Propagation of surface waves in a nonhomogeneous anisotropic elastic semi-space

Klecha T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 2

163-176

In the paper the previous results of the author on the surface waves in a nonhomogeneous isotropic elastic semi-space [4], [6] has been extended to an anisotropic semi-space. It is shown, that the velocity and the amplitude of the surface waves in the non homogeneous anisotropic elastic semi-space, with non homogeneity depending on a semi-space depth, are the analytical functions of the wave number. The branches of the dispersion relation have only algebraic singularities and the singularities are at most countable. Moreover it is demonstrated that for the nonhomogeneous isotropic halfspace with a constant density and a shear modulus, and under the assumption that the Poisson ratio is a bounded function of class C2 [0, [nieskończoność]), there exists at least one solution, and at most finite number of solutions of the dispersion equation.