Author(s)

EVGENIY V. SADYRIN, ANDREY S. VASILIEV, SERGEI S. VOLKOV, BORIS I. MITRIN, SERGEI M. AIZIKOVICH

Abstract

This paper is devoted to construction of a mathematical model combining simplicity for practical usage and high accuracy. It is based on the solution of an axisymmetric contact problem on penetration of a rigid indenter into an elastic half-space with a functionally graded or homogeneous coating. The problem is reduced to solution of a dual integral equation. Asymptotically exact expressions for indentation force, depth, contact stiffness and distribution of contact pressures are obtained in simplified analytical form using one-parameter approximation of the integral equation kernel transform. Numerical calculations are provided for a number of homogeneous and functionally graded coatings. Accuracy of the solution is analyzed against ratio of Young’s moduli of coating and substrate and the value of relative coating thickness.

Keywords

contact, penetration, spherical indenter, simple analytical solution, functionally graded coating