Some Methods for Calculating Temperature During the Friction of Thermosensitive Materials

Abstract

The thermal problem of friction for two semi-infinite bodies, with the dependence of their thermal properties on the temperature taken into account, is considered. It is assumed that a specific power of friction is constant and that a thermal contact between semi-spaces is imperfect. As a consequence of the latter assumption, the linearization of a corresponding boundary-value heat conduction problem using the Kirchhoff transformation is incomplete. Depending on the type of nonlinearity of friction body material—simple or arbitrary—the various methods of linearizing the final task are suggested. The effectiveness of these methods is illustrated by the numerical analysis of the friction materials for couples with a linear or nonlinear temperature dependence on coefficient of thermal conductivity and specific heat.