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Materials Science

, Volume 39, Issue 1, pp 54–63 | Cite as

Running in of Moving Half Spaces in the Case of Partial Wear of an Asperity on the Contact Surface

  • R. M. Martynyak
  • R. M. Shvets'
  • A. V. Glod
Article
  • 24 Downloads

Abstract

We study the process of contact interaction of two elastic moving isotropic half spaces one of which has a gently sloping symmetric cylindrical asperity. The statement of the problem is based on the model of fatigue fracture caused by friction according to which the process of wear starts as soon as the specific friction force in the region of friction exceeds a certain threshold value. We deduce a singular integrodifferential equation for the function of thickness of the worn-out material at each point of time and determine the region where the process of wear originates as well as the shape of the asperity and contact pressure established after the period of running in of the contact surfaces.

Keywords

Fatigue Contact Surface Friction Force Fatigue Fracture Contact Pressure 
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.

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REFERENCES

  1. 1.
    L. A. Galin, Contact Problems in the Theory of Elasticity and Viscoelasticity [in Russian], Nauka, Moscow (1980).Google Scholar
  2. 2.
    B. L. Pelekh, A. V. Maksimchuk, and I. M. Korovaichuk, Contact Problems for Layered Structural Elements and Bodies with Coatings [in Russian], Naukova Dumka, Kiev (1988).Google Scholar
  3. 3.
    A. E. Andreikiv and M. V. Chernets, Analysis of the Contact Interaction of Machine Parts in the Process of Friction [in Russian], Naukova Dumka, Kiev (1991).Google Scholar
  4. 4.
    I. G. Goryacheva and M. N. Dobychin, Contact Problems in Tribology [in Russian], Mashinostroenie, Moscow (1988).Google Scholar
  5. 5.
    I. G. Goryacheva, Contact Mechanics in Tribology, Kluwer, Dordrecht, the Netherlands (1998).Google Scholar
  6. 6.
    V. M. Aleksandrov, “Statement of two-dimensional problems of the theory of elasticity in the case of wear of interacting bodies,” Dokl. Akad. Nauk SSSR, No. 12, 827-831 (1983).Google Scholar
  7. 7.
    D. V. Hrylits'kyi, Thermoelastic Contact Problems in Tribology [in Ukrainian], IZMN, Kiev (1996).Google Scholar
  8. 8.
    O. V. Maksymchuk, “Wear of anisotropic plates with regard for their thickness,” Fiz.-Khim. Mekh. Mater., 36, No. 4, 117-119 (2000).Google Scholar
  9. 9.
    A. E. Andreikiv, V. V. Panasyuk, and M. V. Chernets, “On the theory of wear of materials in the process of dry friction,” Fiz.-Khim. Mekh. Mater., 17, No. 2, 99-104 (1981).Google Scholar
  10. 10.
    A. A. Evtushenko and O. M. Ukhanskaya, “Thermomechanical criterion of wear,” Tren. Iznos, 15, No. 3, 379-388 (1994).Google Scholar
  11. 11.
    R. M. Martynyak, “Interaction of elastic half planes in the case of incomplete mechanical contact,” Mat. Met. Fiz.-Mekh. Polya, Issue 22, 89-92 (1985).Google Scholar
  12. 12.
    R. M. Shvets, R. M. Martynyak, and A. A. Kryshtafovych, “Discontinuous contact of an anisotropic half-plane and a rigid base with disturbed surface,” Int. J. Eng. Sci., 34, No. 2, 183-200 (1996).Google Scholar
  13. 13.
    R. M. Martynyak, “Method of functions of intercontact gaps in the problems of local violation of contact of elastic half spaces,” Mat. Met. Fiz.-Mekh. Polya, 43, No. 1, 102-108 (2000).Google Scholar
  14. 14.
    N. I. Muskheshvili, Singular Integral Equations [in Russian], Fizmatgiz, Moscow (1962).Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • R. M. Martynyak
    • 1
  • R. M. Shvets'
    • 1
  • A. V. Glod
    • 1
  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian Academy of SciencesLviv

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