Stress distribution in two-layered half-space with periodical structure caused by Hertz pressure

The paper presents analytical solutions for displacements and stresses in an elastic layered half-space with periodic structure in the case of an axi-symmetrical contact problem. The solutions are arrived at employing the Hankel transform. Finally, a comparison is made between the results obtained using the classical theory of elasticity and those obtained within the framework of the homogenized model with microlocal parameters.