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BORODACHEV Nikolai M., D. Sc. in Eng., Prof., Professor of the Department "Mechanics", National Aviation University of Ukraine, Kiev, Ukraine

TARIKOV Georgi P., D. Sc. in Eng., Prof., Professor of the Department "Machine parts, track and building machines", Belarusian State University of Transport, Gomel, Republic of Belarus, E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

AKULOVA Elena M., Post-Graduate Student, Sukhoi Gomel State Technical University, Gomel, Republic of Belarus, E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Year 2016 Issue 3 Pages 53-58
Type of article RAR Index UDK 539.375 Index BBK  

The problem of determining the durability of the rail within the system "rail - wheel" is solved in the paper. It presents a new method for determining the durability of the rail taking into account the nature of the interaction between rail track and wheels. This method is based on the combined use of the theory of contact problems, fracture mechanics and fatigue failure issues. It also determines the law of distribution of contact pressure on the surface of the elliptical contact area and its size. The formulas for determining normal stresses at points located under the contact area are obtained. For this purpose, to determine the stresses in the vicinity of the contact area the rail head is replaced with an elastic half-space in accordance with Hertz's hypothesis. The normal stresses s11, s22 and s33 on the axis passing through the center of the contact area and directed perpendicular to it are given. Applying the third theory of strength the coordinates of the most intense point and the values of principal stresses s11, s22 and s33 at this point are obtained. The durability of the rail by means of Manson's empirical formula is determined. At each stage of solving the problem the numerical examples are considered.


contact problem, durability, contact stresses, principal stresses, the contact area, the rail head

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  • Belyaev, N.M. Trudy po teorii uprugosti i plastichnosti [The works on the theory of elasticity and plasticity]. Moscow, Gostekhizdat, 1957. 632 p.
  • Borodachev, N.M., Tarikov G.P., Komrakov V.V., Akulova E.M. Kontaktnoe vzaimodejstvie rel’sa i kolesa [Contact interaction of rail and wheel]. Vestn. Nac. tehnich. un-ta (Har’kovskij politehnich. in-t), [Bulletin of the National Technical University (Kharkiv Polytechnic Institute)], 2014, no. 29, pp.18-27.
  • Goryacheva, I.G. Mehanika kontaktnogo vzaimodejstvija [Meсhanics of contact interaction]. Moscow, Nauka, 2001. 478 p.
  • Vorobyov, A.A. Kontaktnoe vzaimodejstvie kolesa i rel’sa [Contact interaction of a wheel and rail]. Vestn. IrGTU [Bulletin of IRGTU], 2009, no. 3, pp. 42-47.
  • Arsenyev, I.D., Shevchenko D.V., Borovkov A.I. Konechnojelementnoe modelirovanie i issledovanie jevoljucii kontaktnyh naprjazhenij pri stragivanii zheleznodorozhnogo kolesa [Final and element modeling and research of evolution of contact tension when moving a railway wheel]. Vestn. PNIPU. Mehanika. [Bulletin PNIPU. Mechanics.], 2011, no. 2, pp. 5-13.
  • Lurie, A.I. Teorija uprugosti [The theory of elasticity]. Moscow, Nauka, 1970. 939 p.
  • Johnson, K. Mehanika kontaktnogo vzaimodejstvija [Contact mechanics]. Moscow, Mir, 1989. 509 p.
  • Shtaerman, I.J. Kontaktnaja zadacha teorii uprugosti [The contact problem of elasticity theory]. Moscow, Gostehteoretizdat, 1949. 270 p.
  • Galin, L.A. Kontaktnye zadachi teorii uprugosti i vjazkouprugosti [Contact problems of the theory of elasticity and viscoelasticity]. Moscow, Nauka, 1980. 303 p.
  • Gladwell, G.M.L. Contact problems in the classical theory of elasticity. Alphen aan den Rijn: Sijthoff and Nordhoff, 1980. 232 p.
  • Tarikov, G.P., Akulova E.M. Opredelenie naprjazhenij pod ploshhadkoj kontakta v sisteme “rel’s - koleso” [Determination of stress at the contact area within the system “rail - wheel”]. Vestn. GGTU im. P.O. Suhogo [Bulletin GSTU after P.O. Sukhoy], 2015, no. 3, pp.10-18.
  • Collins, J. Povrezhdenie materialov v konstrukcijah [Damage to materials in constructions]. Moscow, Mir, 1984. 624 p.