Thermal Stresses Due to Frictional Heating with Time-Dependent Specific Power of Friction

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

2. Blok H. (1955) The dissipation of frictional heat, Applied Scientific Research, Section A. (2–3), 151–181.10.1007/BF03184615Open DOISearch in Google Scholar

3. Chichinadze A.V. (1967) Calculation and study of external friction during braking, Nauka, Moscow, (in Russian).Search in Google Scholar

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).Search in Google Scholar

5. Evtushenko A., Kutsei M. (2006) Initiating of thermal cracking of materials by frictional heating, Journal of Friction and Wear, 27(2), 9-16.Search in Google Scholar

6. Evtushenko O.O., Ivanyk E.H., Horbachova N.V. (2000) Analytic methods for thermal calculation of brakes, Materials Science, 36(6), 857-862.10.1023/A:1011334721154Open DOISearch in Google Scholar

7. Jewtuszenko O., Kuciej M., Tołstoj–Sienkiewicz J. (2015) Transients and quasi-stationary friction temperature fields, Oficyna Wydawnicza Politechniki Białostockiej, Białystok (in Polish).Search in Google Scholar

8. Kim S.W., Segu D.Z., Kim S.S. (2013) The Thermo-mechanical Cracking Analysis of Break System, Procedia Engineering, 68, 586-592.10.1016/j.proeng.2013.12.225Search in Google Scholar

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

10. Prudnikov A. P., Brychkov Yu. A., Marichev O. I. (1998) Integrals and Series, Vol. 2, Special Functions, New York-London, Taylor & Francis.Search in Google Scholar

11. Talati F., Jalalifar S. (2009) Analysis of heat conduction in a disk brake system, Heat Mass Transfer, 45, 1047-1059.10.1007/s00231-009-0476-ySearch in Google Scholar

12. Timoshenko S.P., Goodier J.N. (1970) Theory of Elasticity, McGraw-Hill, New York.Search in Google Scholar

13. Topczewska K. (2017) Frictional heating with time-dependent specific power of friction, Acta Mechanica et Automatica, 11(2), 111-115.10.1515/ama-2017-0017Search in Google Scholar

14. Wu S.C., Zhang S.Q., Xu Z.W. (2016) Thermal crack growth-based fatigue life prediction due to braking for a high-speed railway brake disc, International Journal of Fatigue, 87, 359-369.10.1016/j.ijfatigue.2016.02.024Search in Google Scholar

15. Yevtushenko A.A., Kuciej M. (2010a) Two heat conduction problems with frictional heating during braking, J. Theor. Appl. Mech., 48(2), 367–380.Search in Google Scholar

16. Yevtushenko A.A., Kuciej M. (2010b) Two calculation schemes for determination of thermal stresses due to frictional heating during braking, Journal of Theoretical and Applied Mechanics, 48(3), 605-621.Search in Google Scholar

17. Yevtushenko A.A., Kuciej M., Yevtushenko O.O. (2011) Temperature and thermal stresses in material of a pad during braking, Arch. Appl. Mech., 81, 715-726.10.1007/s00419-010-0445-4Open DOISearch in Google Scholar

18. 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), 4148-4153.10.1016/j.ijheatmasstransfer.2012.03.056Search in Google Scholar

19. 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, 128-136.10.1016/j.ijheatmasstransfer.2013.10.055Search in Google Scholar