Dynamic and quasi-static instability of sliding thermoelastic frictional contact

Abstract

The exact solution of a problem on thermoelastic frictional sliding of a rigid half-plane against the surface of an elastic coating of another half-plane has been obtained both for quasi-static and dynamic formulation of the problem. A solution to the problem has been constructed in contour quadratures form of the inverse Laplace integral transform, after calculating which the solution has been written in form of series over eigenfunctions. Instability area in parameters domain has been determined for both formulations of the problem. Properties of unstable solutions of the problem that can be used for the diagnostics and control of unstable operations of friction pairs have been studied.