Abstract
We consider the transient thermoelastic contact of a sphere sliding on a rigid non-conducting plane. The model employs the Archard's law of wear in which the rate of material removal is proportional to pressure and speed of sliding. With Hertzian approximation to the contact pressure distribution the problem is formulated in terms of one integral equation with unknown radius of contact area. An analytical solution of this equation is obtained for short and large values of time. The numerical solution using piecewise-constant presentation of unknown function is also obtained.
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