Abstract
The axi-symmetric contact problem for a sliding elastic sphere on a rigid foundation is considered. It is assumed that the work done against shearing tractions is the source of heat generation and all the heat is absorbed in one moving sphere. The effect of the temperature-dependent properties of the sphere material is investigated. The problem is reduced to the solution of nonlinear Fredholm type integral equations. The approximate solution of these equations is obtained. For a sphere of carbon graphite material it is established that the influence of the nonlinear thermal properties on the contact area, the contact pressure and temperature is essential.
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