Skip to main content
SpringerLink
Log in

Analytic Methods for Thermal Calculation of Brakes (Review)

  • Published:
Materials Science Aims and scope

Abstract

In the present review, we discuss works that have been published in the last 15–20 years that are devoted to the analysis of mathematical computational models of thermal properties of braking friction systems of various types. New applications of the theory of heat conduction and thermoelasticity as well as the rapid development of computer engineering have led to a considerable increase in the number of solvable problems, and the refining of mathematical methods and approaches enables one to construct analytic solutions of these problems. In the paper, we outline the main directions of investigation of the processes of interaction of bodies with regard for heat release. We describe analytic methods in more detail as compared with other approaches, because, to our mind, they are very promising for deriving simple engineering relations for braking processes on the basis of the equations of the thermal dynamics of friction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. A. V. Chichinadze, R. M. Matveevskii, É. D. Braun, et al., Materials in Tribotechniques of Nonstationary Processes [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  2. P. N. Bogdanovich, V. M. Belov, and P. V. Sysoev, “Temperature on local sections of a sliding contact,” Trenie Iznos, 14, No. 5, 842–850 (1993).

    Google Scholar 

  3. A. V. Chichinadze, É. D. Braun, A. G. Ginzburg, and Z. V. Ignat'eva, Analysis, Testing, and Selection of Friction Couples [in Russian], Mashinostroenie, Moscow (1967).

    Google Scholar 

  4. I. V. Kragel'skii, M. N. Dobychin, and V. S. Kombalov, Bases of Friction and Wear Analysis [in Russian], Mashinostroenie, Moscow (1977).

    Google Scholar 

  5. V. A. Balakin and V. P. Sergienko, “Tests of materials for friction heat resistance,” Trenie Iznos, 17, No. 2, 194–201 (1996).

    Google Scholar 

  6. N. B. Demkin and É. V. Ryzhov, Surface Quality and Contact of Details of Machines [in Russian], Mashinostroenie, Moscow (1981).

    Google Scholar 

  7. A. V. Chichinadze, Analysis and Investigation of External Friction under Braking [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  8. H. Blok, “Fundamental mechanical aspects in boundary lubrication,” SAE Trans., 46, 54–68 (1940).

    Google Scholar 

  9. T. C. Jaeger, “Moving sources of heat and the temperature of sliding contact,” Proc. Roy. Soc. N.S.W., 56, Pt. 3, 203–224 (1942).

    Google Scholar 

  10. A. G. Ginzburg, A. V. Chichinadze, “Application of the equations of the thermal dynamics of friction to calculation of the operating characteristics of brakes,” in: Thermal Dynamics of Friction [in Russian], Nauka, Moscow (1970), pp. 7–17.

    Google Scholar 

  11. A. G. Ginzburg, “Theoretical and experimental bases of analysis of a single process of braking with the use of a system of equations of the thermal dynamics of friction,” in: Optimal Use of Friction Materials in Friction Units of Machines [in Russian], Nauka, Moscow (1973), pp. 33–105.

    Google Scholar 

  12. A. V. Chichinadze, A. G. Ginzburg, and I. P. Kortauli, “Analysis of the operating characteristics of brakes in the intermittent mode of operation with the use of a system of equations of the thermal dynamics of friction,” in: Optimal Use of Friction Materials in Friction Units of Machines [in Russian], Nauka, Moscow (1973), pp. 108–112.

    Google Scholar 

  13. V. N. Parfenov and S. S. Kokonin, “Temperature field in friction couples in the case of short-term braking,” in: Optimal Use of Friction Materials in Friction Units of Machines [in Russian], Nauka, Moscow (1973), pp. 124–129.

    Google Scholar 

  14. V. A. Balakin, V. P. Sergienko, and O. Yu. Komkov, “Dynamic processes that appear in applying clutches and brakes,” Trenie Iznos, 17, No. 4, 463–469 (1996).

    Google Scholar 

  15. V. A. Balakin, V. P. Sergienko, and O. Yu. Komkov, “Heat processes that appear in applying friction clutches and brakes,” Trenie Iznos, 17, No. 5, 589–597 (1996).

    Google Scholar 

  16. V. N. Parfenov, S. S. Kokonin, and I. V. Yudiel', “Temperature field in friction brake disks after a single short-term braking (the process of cooling),” in: Thermal Dynamics and Simulation of External Friction [in Russian], Nauka, Moscow (1975), pp. 25–31.

    Google Scholar 

  17. V. A. Kuliev, A. P. Begidmonova, and A. V. Chichinadze, “Analysis of the heat mode of operation of a band brake,” in: Analysis and Simulation of Brake and Friction Assemblies [in Russian], Nauka, Moscow (1974), pp. 15–20.

    Google Scholar 

  18. A. G. Ginzburg, A. M. Romashko, and V. F. Titarenko, “Analysis of the temperature mode of a disk railroad brake,” in: Analysis and Simulation of Brake and Friction Assemblies [in Russian], Nauka, Moscow (1974), pp. 21–25.

    Google Scholar 

  19. A. G. Ginzburg and A. V. Chichinadze, “On the analysis of wear in the process of braking with the use of a system of equations of the thermal dynamics of friction,” in: Friction and Wear of Friction Materials [in Russian], Nauka, Moscow (1977), pp. 26–30.

    Google Scholar 

  20. M. A. Mamkhegov, Z. V. Ingnat'eva, and A. G. Ginzburg, “Problems of evaluation of the maximum temperature on nonstationary friction with intensive heat generation,” in: Friction and Wear of Friction Materials [in Russian], Nauka, Moscow (1977), pp. 46–53.

    Google Scholar 

  21. D. M. Rowson, “The interfacial surface temperature of a disc brake,” Wear, 47, No. 2, 323–328 (1978).

    Google Scholar 

  22. M. P. Aleksandrov and A. A. Nosko, “Analysis of heating of brake units with a small coefficient of mutual overlap (by the example of disk-shoe brakes of hoisting-transport facilities),” Trenie Iznos, 14, No. 5, 895–901 (1993).

    Google Scholar 

  23. A. A. Yevtushenko and E. G. Ivanyk, “Determination of heat and thermal distortion in braking systems,” Wear, 185, No. 1–2, 159–165 (1995).

    Google Scholar 

  24. E. V. Kovalenko, O. O. Evtushenko, and E. G. Ivanik, “On the calculation of temperature on braking,” Trenie Iznos, 17, No. 4, 435–441 (1996).

    Google Scholar 

  25. V. A. Galazyuk, O. O. Evtushenko, and I. N. Turchin, “Nonstationary friction heating of the bulges of microinhomogeneities of a sliding contact,” Inzh.-Fiz. Zh., 69, No. 5, 768–772 (1996).

    Google Scholar 

  26. M. V. Korovchinskii, “Bases of the theory of thermal contact in the case of local friction. Part 1,” in: Problems of Friction and Lubricant [in Russian], Nauka, Moscow (1966), pp. 98–145.

    Google Scholar 

  27. O. O. Evtushenko and E. G. Ivanik, “Nonstationary distribution of the friction temperature in the vicinity of a unit spot of touch of tips of microinhomogeneities,” Trenie Iznos, 15, No. 6, 949–957 (1994).

    Google Scholar 

  28. O. O. Evtushenko and E. H. Ivanyk, “Investigation of thermal modes on friction braking,” Izv. Ros. Akad. Nauk, Mekh. Tverd. Tela, No. 6, 73–81 (1995).

  29. A. A. Yevtushenko and R. B. Chapovska, “Axisymmetric contact problem during braking with friction heating and wear,” J. Theor. Appl. Mech., 36, No. 2, 331–346 (1988).

    Google Scholar 

  30. A. A. Yevtushenko and E. G. Ivanyk, “Effect of the rough surface on the transient friction temperature and thermal stresses near a single contact area,” Wear, 197, No. 1–2, 160–168 (1996).

    Google Scholar 

  31. B. Gecim and W. O. Winer, “Transient temperature in the vicinity of an asperity contact,” ASME J. Tribol., 107, No. 3, 333–334 (1985).

    Google Scholar 

  32. A. I. Sviridenok, S. A. Chizhik, and M. I. Petrokovets, Mechanics of Discrete Friction Contact [in Russian], Nauka i Tékhnika, Minsk (1990).

    Google Scholar 

  33. O. O. Evtushenko, E. H. Ivanyk, and N. V. Horbachova, “Temperature and stresses in the vicinity of a friction contact of microbulges in the process of braking,” Fiz.-Khim. Mekh. Mater., 32, No. 6, 72–80 (1996).

    Google Scholar 

  34. O. O. Evtushenko, N. V. Horbachova, and E. H. Ivanyk, “Simulation of a thermal stressed state in the vicinity of a unit contour region of a friction contact with regard for roughness,” in: Abstracts of the All-Ukrainian Scientific Conf. “Development and Use of Mathematical Methods in Scientific and Research Investigations” Dedicated to the 70th Birthday of Prof. P. S. Kazymirs'kyi [in Ukrainian], (Lviv, October 1995), Part 3, Lviv (1995), p. 32.

  35. A. A. Evtushenko, E. G. Ivanik, and N. V. Gorbachova, “Influence of convective cooling on the temperature and stressed state on braking,” Trenie Iznos, 18, No. 5, 949–957 (1997).

    Google Scholar 

  36. O. O. Evtushenko, N. V. Gorbachova, and E. G. Ivanik, “Heating of a multilayer half space by friction heat,” Mat. Met. Fiz.-Mekh. Polya, 40, No. 1, 111–116 (1997).

    Google Scholar 

  37. A. A. Evtushenko, N. V. Horbachova, and E. H. Ivanyk, “Thermomechanical processes in the case of friction heating of disk brakes,” Inzh.-Fiz. Zh., 70, No. 1, 111–116 (1997).

    Google Scholar 

  38. N. V. Horbachova, “Calculation of the temperature field of friction elements on braking,” in: Boundary-Value Problems of Thermomechanics [in Ukrainian], Part 1, Institute of Mechanics of the Ukrainian Academy of Sciences, Kiev (1996), pp. 113–116.

    Google Scholar 

  39. J. R. Barber, “Thermoelastic contact of a rotating sphere and a half-space,” Wear, 35, No. 2, 282–289 (1975).

    Google Scholar 

  40. N. V. Horbachova, “Determination of thermal modes on friction braking,” in: Bulletin of the “L'vivs'ka Politekhnika” State University, Prikl. Mat. [in Ukrainian], No. 341, “L'vivs'ka Politekhnika” State University, Lviv (1998), pp. 98–101.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Franko Lviv University, Lviv

    O. O. Evtushenko, E. H. Ivanyk & N. V. Horbachova

Authors
  1. O. O. Evtushenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. H. Ivanyk
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. V. Horbachova
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Evtushenko, O.O., Ivanyk, E.H. & Horbachova, N.V. Analytic Methods for Thermal Calculation of Brakes (Review). Materials Science 36, 857–862 (2000). https://doi.org/10.1023/A:1011334721154

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1011334721154

Keywords

Search

Navigation