The analysis of stress-strain state on the border "of the deposited surface layer - substrate" methods of the theory of elasticity of inhomogeneous media, when exposed to distributed in a circle of the load. The solution of spatial tasks in the form of a series containing hypergeometric function. The dependences of maximum values of stresses from the linear dimensions of the deposited material. It is shown that the creation of brutal coverage plays a favorable role, reducing the maximum normal stress.