Plane-Contact Problem of Thermoelasticity During Quasi-Stationary Heat Generation on the Contact Surfaces

When determining the surface temperature on the contact of two rubbing bodies employing the widely used method offered by Block, it is assumed that the distribution of pressure in the contact area remains similar to the distribution when the heat generation caused by friction is absent. But actually, if there is even a slightly noticeable heat generation on the surfaces of the contact, a local bulging appears near the contact area owing to the heat expansion of the rubbing bodies. This bulging changes the curve and consequently the law of distribution of pressure as compared to that of Hertz. The latter in its turn leads to alteration of maximum temperatures as compared to the universally adopted values. This paper deals with the composition and then with the solution of the basic integral-differential singular equation for distribution of pressures across the contact strip for the case of two contacting cylinders with parallel axes; the distribution of surface temperature is then found.