RESPONSE OF A RANDOMLY INHOMOGENEOUS LAYER OVERLYING A HOMOGENEOUS HALF-SPACE TO SURFACE HARMONIC EXCITATION.

The paper is concerned with the study of the effect of the randomness of material parameters on mean wave propagation in a semi-infinite viscoelastic medium. The medium considered in this paper is a configuration of a randomly nonhomogeneous layer overlying a homogeneous half-space and is loaded harmonically on the top surface. The method used is that of F. C. Karal and J. B. Keller and is based on the idea of fundamental matrix and R. C. Bourret approximation. The integrodifferential equation obtained in this paper is solved by the Laplace transform method. By using boundary and continuity conditions the mean wave solution is obtained. Numerical results show that the correlation functions, which introduce long-range interactions, can be the source of the wave amplification.