Stress distribution in a composite coating by local loading of the free surface

A three-dimensional problem of the theory of elasticity for halfspace with multilayered coating with periodical structure is consid-ered. The fundamental layer consists of two layers with different thicknesses and different mechanical properties. The coating is described by the homogenized model with microlocal parameters. The solution is derived by using integral Fourier transform. Calculations were con-ducted with the assumption of elliptical distribution of normal and tangential tractions applied to the surface of the layered system in a cir-cular area. Analysis of the stresses was restricted to the first principal stress distribution.