“…The solution to the problem of heat generation during braking with a uniform retardation for two semi-spaces in perfect contact was obtained in articles (Grylytskyy, 1996;Yevtushenko at al., 1999), and in imperfect contact -in articles (Levitskij and Оnyshkievich, 1999;Nosko and Nosko, 2006). The contact temperature, the value of wear, and the speed of sliding during braking, for general experimental dependences of the coefficients of friction and wear on the temperature were studied in article (Olesiak at al., 1997). Solutions to the transient heat conduction problems for a massive body (the semi-space) coated with either a homogeneous, or a composite strip were suggested in articles (Yevtushenko at al., 2007a;Matysiak at al., 2007;Evtushenko at al., 2005).…”