The contact problems for the elastic foundation with the functionally graded coatings of the complicated structure

The contact problemfor the impression of axisymmetrical indenter into a functional graded elastic half-space is considered. Analytical methods for solving this problem have been developed. It is assumed that the indenter has a parabolic shape and contact between the indenter and the coating is smooth. The used method make it possible to find the analytical asymptotically exact problem solution. The stress-strain state of the coating is analyzed due to numerical experiment with the coatings which elastic modula are described with continuously smooth non-monotonic function with the changing of derivation sight is finite into the coating.