Frictional Heating with Time-Dependent Specific Power of Friction

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Abstract

In this paper analytical solutions of the thermal problems of friction were received. The appropriate boundary-value problems of heat conduction were formulated and solved for a homogeneous semi–space (a brake disc) heated on its free surface by frictional heat fluxes with different and time-dependent intensities. Solutions were obtained in dimensionless form using Duhamel's theorem. Based on received solutions, evolution and spatial distribution of the dimensionless temperature were analyzed using numerical methods. The numerical results allowed to determine influence of the time distribution of friction power on the spatio-temporal temperature distribution in brake disc.

1. Abramowitz M., Stegun I.A. (1972), Handbook of Mathematical Functions with Formulas, Graphs, and Tables, National Bureau of Standards, Washington.

2. Carlslaw H.S., Jaeger J. C. (1959), Conduction of Heat in Solids, 2nd ed. Clarendon Press, Oxford.

3. Chichinadze A.V. (1967), Estimation and investigation of external friction during braking, Nauka, Moscow. – 231 p. (in Russian).

4. Chichinadze A.V., Braun E.D., Ginsburg A.G., Ignat’eva Z.V. (1979), Calculation, Test and Selection of Frictional Couples, Nauka, Moscow (in Russian).

5. Evtushenko A., Kutsei, M. (2007), Non-stationary frictional heat problem for plane-parallel layer—half-space system, Journal of Friction and Wear, 28(3), 246-259.

6. Jewtuszenko O. (red) (2014), Analytical and numerical modelling of process of transient heat generation in friction components of brake systems, Publisher of Technical University of Bialystok, Bialystok (in Polish).

7. Kuciej M. (2012), Analytical models of transient frictional heating, Publisher of Technical University of Bialystok, Bialystok (in Polish).

8. Ling F.F. (1973), Surface Mechanics, Wiley, New York.

9. Matysiak S., Evtushenko O., Kuciej M. (2007), Temperature field in the process of braking of a massive body with composite coating, Materials Science, 43(1), 62-69.

10. Ozisik M.N. (1993), Heat conduction, 2nd Ed. Wiley: New York.

11. Prudnikov A. P., Brychkov Yu. A., Marichev O. I. (1986), Integrals and Series. Vol. 1: Elementary Functions, Gordon and Breach: New York.

12. Prudnikov A.P., Brychkov Yu.A., Marichev O. I. (1998), Integrals and Series. Vol. 2: Special Functions, New York-London: Taylor & Francis.

13. Topczewska K. (2016), Temperature distribution in a brake disc with variable contact pressure, Technical Issues, 1, 90–95.

14. Yevtushenko A. A., Kuciej M., Różniakowska M. (2005), Thermal cleavage stresses in a piecewise homogeneous plate, Materials Science, 41 (5) 581-588.

15. Yevtushenko A.A., Kuciej M. (2006), Initiating of thermal cracking of materials by frictional heating, J. Friction and Wear, 27(2) 9-16.

16. Yevtushenko A.A., Kuciej M. (2009), Influence of convective cooling on the temperature in a frictionally heated strip and foundation, International Communications in Heat and Mass Transfer, 36(2), 129-136.

17. Yevtushenko A.A., Kuciej M. (2010), Two heat conduction problems with frictional heating during braking, J. Theor. Appl. Mech., 48(2), 367–380.

18. Yevtushenko A.A., Kuciej M., Yevtushenko O.O. (2011), Temperature and thermal stresses in material of pad during braking, Arch. Appl. Mech., 81(6), 715–726.

19. Yevtushenko A.A., Kuciej M. (2012), One-dimensional thermal problem of friction during braking: The history of development and actual state, International Journal of Heat and Mass Transfer, 55(15), 4148-4153.

20. Yevtushenko A.A., Kuciej M., Yevtushenko O. (2014), The asymptotic solutions of heat problem of friction for a three-element tribosystem with generalized boundary conditions on the surface of sliding, International Journal of Heat and Mass Transfer, 70, 128-136.

21. Yevtushenko A.A., Rozniakowska M., Kuciej M. (2007a), Transient temperature processes in composite strip and homogeneous foundation, International Communications in Heat and Mass Transfer, 34(9), 1108-1118.

22. Yevtushenko A.A., Rozniakowska M., Kuciej M. (2007b), Laser-induced thermal splitting in homogeneous body with coating. Numerical Heat Transfer, Part A: Applications, 52(4), 357-375.

Acta Mechanica et Automatica

The Journal of Bialystok Technical University

Journal Information


CiteScore 2018: 0.77
SCImago Journal Rank (SJR) 2018: 0.243
Source Normalized Impact per Paper (SNIP) 2018: 0.615

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