Nonlinear analytical – numerical models of solving frictional heat problems

Abstract eng:
The nonlinear thermal problems of friction have been formulated for two semi-spaces, compressed by time dependent pressure and sliding with a speed that changes in time. Due to friction at the contact surface the heat is generated. It is assumed that the thermal contact of the bodies is imperfect, and the materials are thermal-sensitive, i.e. their thermophysical properties are temperature dependent. This problem allows to determine temperature fields in such elements of brakes, as a pad and a disk. As a consequence of the assumption, linearization of a corresponding boundary-value heat conduction problem using the Kirchhoff transformation has been incompleted. Depending on the type of nonlinearity of friction bodies material (simple or arbitrary), the various methods of linearizing the final task have been suggested. The effectiveness of these methods has been illustrated by the numerical analysis of the friction materials for couples with a linear or nonlinear temperature dependence of thermal properties.

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