Abstract
In the paper a new method for studying the properties of deformable bodies with coatings is developed. We considered two models of the foundation: a homogeneous elastic layer with clamped lower edge and a two-layer packet containing a flat rigid inclusion located in the plane of the substrate elastic properties. We used the method of eigenfunctions in the study of the problem concerning steady-state oscillations of a deformable material with a cracked coating. For a foundation that does not contain defects, we described a method for the determination of main parameters characterizing the stress-strain state of a structure with a cracked coating composed of two long plates. We considered a continuous coating for the model of defective foundation. In the course of our study we obtained the relations for determining the characteristics of the stress-strain state of coating/substrate systems as well as presented an example of the application of the method for studying edge effects near the junction boundaries of a composite coating.
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