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ACCEPTED MANUSCRIPT 2 ABSTRACTA two-element model of braking process for a tribosystem consisting of the pad (the strip) sliding with the time-dependent velocity (braking at uniform retardation) on a surface of the disc (the semi-space) is studied. The dependences of temperature and thermal stresses on the boundary conditions on upper surface of the ceramic-metal strip were investigated. It was proved that there is a possibility of applying the obtained results to modelling of a thermal cracking of the frictional elements during braking.

In this article, the effect of different time profiles of friction power on a temperature distribution in friction element of a brake has been analyzed. For this purpose, a one-dimensional heat problem of friction during braking for 10 temporal profiles of the specific power of friction has been formulated and solved exactly. Based on the analytical solutions, numerical calculations of the temperature distributions have been carried out. A comparative analysis of the obtained results with corresponding data, that were found using an approximate solution from the Chichinadze's monograph titled Calculation and study of external friction during braking, has also been performed. Conducted numerical analysis has allowed us to establish the applicability limits of this approximate solution. We also determined that the temporal profile of friction power has a significant influence on the evolution of the surface temperature, and on temperature field inside a disk brake.

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