“…Application of the law of friction in the form of (1) allows to simplify the boundary conditions for the primary problem, however, a choice of more difficult models of friction incorporating Eqs (1), (2) (Goryacheva, 2001;Sulym and Piskozub, 2004;Pasternak et al, 2010;Popov, 1966;Johnson, 1985;Hills et al, 1993), which account for wear and thermal emissions (Bogdanovich and Tkachuk, 2009; Pyrjev et al, 2012; Datsyshyn and Kadyra, 2006; Goryacheva et al, 2001), will not essentially complicate the solution process.…”