Wear of Coating With a Shear Module Arbitrally Changing by Depth

Abstract

The protection of the working surfaces of mechanisms in sliding contact conditions is often carried out by applying protective multilayer and functionally graded coatings, which prevent wear of the working surfaces and reduce the temperature heating of the contact. The problem of grinding the surface of oxidized and other materials with a functionally graded change in properties along the depth of the product leads to the need to control the wear rate and contact heating from friction. The effectiveness of studying the processes of wear, grinding, polishing and early diagnostics of thermoelastic instability of sliding contact is facilitated by mathematical modeling of the process of wear of products made of functionally graded materials. The thermoelastic contact problem of the wear of a functionally graded coating with an arbitrarily varying shear modulus with a hard abrasive, taking into account the heating of the contact from friction, is considered. The solutions of the problem are constructed in the form of Laplace convolutions. Analysis of the obtained solutions in the complex plane makes it possible to determine the regions of thermoelastic stability and instability of the solutions in the space of dimensionless parameters of the problem. Unstable solutions give rise to the concept of thermoelastic instability of a sliding contact. The constructed analytical solutions made it possible to study the effect of the functionally graded inhomogeneity coefficient of the coating material on the thermoelastic instability regions of the sliding contact, temperature, displacements, stresses and wear of the functionally graded coating material.