A three-element model of braking process is proposed. in order to determine the temperature fields in each element of the model, the analytical solution of a boundary-value problem of heat conduction for tribosystem, consisting of the semi-space, sliding with the time-dependent velocity (braking at uniform retardation) on a surface of the strip deposited on a semi-infinite foundation, is obtained. The results of the numerical analysis for different materials applied in a braking system, cast iron-FMK-11 metal ceramics-steel, are presented. (C) 2009 Elsevier Ltd. All rights reserved.