Abstract
The paper presents an analytical and numerical factorization method for studying the interaction of coating plates in the contact area on a rectilinear fault. Using the method of eigenfunctions and the block element method, we obtained new analytical representations of the solution for the problem, which makes it possible to estimate the behavior of the surface of the medium. We have calculated the wave field on the surface of a homogeneous elastic layer with a pinched bottom face and a composite coating with varying physical and mechanical characteristics of the plates and substrate. We have also illustrated the results of the numerical implementation for the developed algorithm and given a brief discussion about the influence of the fault boundary conditions, as well as the physical and mechanical properties of the inhomogeneous coating and substrate on the wave field formed under the influence of a vertical localized surface source.
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