the thermal problem of friction during braking for a three-element tribosystem with a composite pad

the analytical solution to a thermal problem of friction during braking with constant retardation for a three-element system (a foundation/strip/semi-space) is obtained. the solution allows to find the evolution and distribution of transient temperature in the caliper/pad/disk tribosystem. unlike known solutions for three-element tribosystem, this one is obtained on the assumption that material of the pad (strip) is the periodic composite. the every unit cell of the composite contains four sub-cells with rectangular cross-section and with different thermo-physical properties. it is assumed, that intensity of the heat generation on the contact surface is equal to power of friction and through this surface the heat transfer takes place. the influence of the geometrical dimensions and thermo-physical properties of composite sub-cells on the maximum temperature in the system has been investigated.