Vol. 16, No. 3, 2021

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Friction and thermal convection in rapid 3D sliding contact

Louis M. Brock

Vol. 16 (2021), No. 3, 293–309

An isotropic, thermoelastic half-space is at rest when a rigid sphere is pressed into the surface and translated along a straight path over the surface with constant speed. The speed is rapid but subcritical, and translation is opposed by surface friction and accompanied by thermal convection. A dynamic steady state ensues, so that the contact zone assumes a constant shape that translates at the same speed as the sphere. An analytical solution, based on robust asymptotic expressions in integral transform space, is developed. The roles of sliding friction and thermal convection on solution form are identified. Examination of the solution shows in particular that in the absence of convection, contact zone geometry is self-similar whether or not friction exists. If convection is accounted for, self-similarity is lost.

3D dynamic, thermoelastic, sliding contact, friction, convection
Received: 21 November 2020
Revised: 1 January 2021
Accepted: 17 January 2021
Published: 1 August 2021
Louis M. Brock
Department of Mechanical Engineering
University of Kentucky
151 Ralph G. Anderson Building
Lexington, KY 40506-0503
United States