Thermal conduction in a coated rod under friction

  • Yu. I. Koval'chik


The paper discusses the temperature pattern that arises from external friction in a coated rod. The model incorporates the structural adaptation of the materials in friction as well as the load and the sliding speed. The unknown temperature includes contact and bulk temperatures. A Wiener continual integral is used to express the solution after various mathematical transformations.


Temperature Pattern Bulk Temperature Feynman Integral Mathematical Transformation Major Hypothesis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Simulating Friction and Wear, A. V. Chichinadze (ed.) [in Russian], NIIMASh, Moscow (1970).Google Scholar
  2. 2.
    A. I. Pestov, “Contact temperatures in machine units,” Vestn. Mashinostroenie, No. 5, 3–10 (1961).Google Scholar
  3. 3.
    B. I. Kostetskii, Fundamental Laws of Frinction and Wear [in Russian], Znanie, Kiev (1981).Google Scholar
  4. 4.
    B. I. Kostetskii, Surface Strength of Materials in Frinction [in Russian], Tekhnika, Kiev (1976).Google Scholar
  5. 5.
    B. I. Kostetskii, Wear Resistance in Metals [in Russian], Mashinostroenie, Moscow (1980).Google Scholar
  6. 6.
    I. V. Kragel'skii, A Theoretical Method of Evaluating Friction and Wear: An Effective Way of Improving Machine Relability and Working Life [in Russian], Znanie, Moscow (1976).Google Scholar
  7. 7.
    I. V. Kragel'skii, Frinction and Wear [in Russian], Mashinostroenie, Moscow (1962).Google Scholar
  8. 8.
    V. I. Klyatskin, Stochastic Equations and Waves in Randomly Inhomogeneous Media [in Russian], Nauka, Moscow (1980).Google Scholar
  9. 9.
    A. S. Mazmanishvili, Continual Integration as a Method of Solving Physical Problems [in Russian], Naukova Dumka, Kiev (1987).Google Scholar
  10. 10.
    N. N. Bogolyubov and D. Yu. Shirkov, Introduction to Quantized Field Theory [in Russian], Nauka, Moscow (1976).Google Scholar
  11. 11.
    V. N. Popov, Continual Integrals in Quantum Field Theory and Statistical Physics [in Russian], Atomizdat, Moscow (1976).Google Scholar
  12. 12.
    Yu. I. Koval'chik, “Use of Feynman integrals in the statistical theory of light propagation in a randomly inhomogeneous medium,” Otb. Obrab. Inform., No. 23 (1986), pp. 19–23.Google Scholar
  13. 13.
    B. M. Budak, A. A. Samarskii, and A. N. Tikhonov, Collection of Problems in Mathematical Physics [in Russian], GITTL, Moscow (1956).Google Scholar
  14. 14.
    I. M. Koval'chik, “Representing the solution to a Cauchy problem for a system of parabolic type as a Wiener integral,” Dokl. Akad. Nauk SSSR,138, No. 6, 1284–1286 (1961).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Yu. I. Koval'chik
    • 1
  1. 1.G. V. Karpenko Physicomechanics InstituteAcademy of Sciences of the UkraineL'viv

Personalised recommendations