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Multiscale Modelling in Contact Mechanics

  • Irina G. Goryacheva
Part of the Iutam Bookseries book series (IUTAMBOOK, volume 10)

Abstract

The approach to investigate the contact interaction and wear of deformable bodies with rough surfaces is developed. It is based on multiscale analysis: at microscale the models to study the additional displacement function and the wear rate for various microgeometry parameters are developed and used for mathematical formulation of the contact problems at macroscale. The results of calculation of the real and nominal contact pressure in normal contact of elastic bodies with given micro- and macrogeometry, and evolution of the surface macrogeometry in wear process are presented.

Keywords

Discrete contact roughness surface fracture wear real contact characteristics nominal contact pressure 

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References

  1. 1.
    Westergaard H.M. “Bearing pressure and cracks”, Journal of Applied Mechanics, vol. 6. no. 1, pp. 49–53, 1939.Google Scholar
  2. 2.
    Staierman I.Ya. The Contact Problem of the Theory of Elasticity. Moscow, Gostekhizdat, 1949.Google Scholar
  3. 3.
    Kuznetsov Ye.A. “The fundamental periodic mixed problem of the theory of elasticity for a half-space”, Prikl .Mekh., vol. 12, no. 9, pp. 89–97, 1976.Google Scholar
  4. 4.
    Kuznetsov Ye.A., Gorokhovsky G.A. “Stress distribution in a polymeric material subjected to the action of a rough-surface indenter”, Wear, vol. 51, pp. 299–308, 1978.CrossRefGoogle Scholar
  5. 5.
    Kuznetsov Ye.A., Gorokhovsky G.A. “The effect of roughness on the stress state of solids in frictional contact”, Prikl. Mekh., vol. 14, no. 9, pp. 62–68, 1978.Google Scholar
  6. 6.
    Johnson K.L., Greenwood J.A., Higginson J.G. “The contact of elastic regular wavy surfaces”, International Journal of Mech. Science., vol. 27, no. 6, pp. 383–396, 1985.zbMATHCrossRefGoogle Scholar
  7. 7.
    Goryacheva I.G. Contact Mechanics in Tribology, Dordreht, Kluwer Academic Publishers, 1997.Google Scholar
  8. 8.
    Goryacheva I.G. “The periodic contact problem for an elastic half-space” Journal of Applied Mathematics and Mechanics, vol. 62, no. 6, pp. 959–966, 1999CrossRefMathSciNetGoogle Scholar
  9. 9.
    Goryacheva I.G. “Mechanics of discrete contact” Tribology International, vol. 39, pp. 381–386, 2006.CrossRefGoogle Scholar
  10. 10.
    Goryacheva, I.G., Chekina O.G. “Surface fatigue damage model”, Soviet Journal of Friction and Wear, vol. 11, no. 3. pp.1–11, 1990.Google Scholar
  11. 11.
    Chekina O.G. “The modelling of fracture of surface layers in contact of rough bodies” Strength and Plasticity, Nauka, Moscow , vol. 1, pp. 186–191, 1996.Google Scholar
  12. 12.
    Goryacheva, I.G., Chekina O.G. “Wear of surfaces: from microfracture modeling to analysis of macroshape variations”, Izv.RAS, Mech. Solids, no. 5. pp. 131–147, 1999.Google Scholar
  13. 13.
    Bogdanov V.M., Goryachev A.P., Goryacheva I.G., Dobychin M.N., Zakharov S.M., Krivonogov V.G., Soldatenkov I.A., Chekina O.G. “Study of wheel-rail contact, wear and cumulative damage”, Soviet Journal of Friction and Wear, vol. 17, no. 1, pp. 12–26, 1996.Google Scholar
  14. 14.
    Ionov V.N., Ogibalov, P.M. Strength of Three-Dimensional Structural Elements, Nauka, Moscow, 1972Google Scholar
  15. 15.
    Regel, R.V., Slutsker, A.I., Tomashevsky, E.E. Kinetics Foundation of Strength of Solids, Moscow, Nauka, 1974.Google Scholar
  16. 16.
    Goryacheva I.G., Soldatenkov I.A. “Theoretical study of running-in and the steady-state wear regime of solid lubricant coatings”, Soviet Journal of Friction and Wear, vol. 4, no. 3.pp. 420–431, 1983.Google Scholar
  17. 17.
    Goryacheva I.G., Soldatenkov I.A. Wear contact problems. Contact mechanics (Ed. Vorovich, I.I. and Alexandrov, V.M.) Fizmatlit, Moscow, pp. 438–458, 2001.Google Scholar
  18. 18.
    Usov P.P., Drozdov Yu.N., Nikolashev Yu.N. “Theoretical study of shaft-sleeve friction pair stress state with account of wear” Mashinovedenie, no. 2, pp. 80–87, 1979.Google Scholar
  19. 19.
    Kuzmenko A.G. “Contact problems with account of wear for cylindrical sliding bearings” Soviet Journal of Friction and Wear, vol. 2, no. 3, pp.502–512, 1981.MathSciNetGoogle Scholar
  20. 20.
    Goryacheva I.G., Dobychin M.N. “Wear kinetics of plain journal bearings with solid lubricant”, Soviet Journal of Friction and Wear, vol. 5, no. 4, pp. 581–588, 1984.Google Scholar
  21. 21.
    Hough C.L., Das. B. “Wear characteristics of polycrystalline diamond compact drill bits in small diameter rock drilling” ASME, Journal of Energy Resources Technology, vol. 107, no. 4, 1985.Google Scholar
  22. 22.
    Goryacheva I.G. “Wear contact problems for a system of punches” Izv.AN SSSR, Mechanics of Solids, no. 6, pp. 62–68, 1987.Google Scholar
  23. 23.
    Chekina O.G., Goryacheva I.G., Krasnik V.G. “The model for tool wear in rock cutting” Wear, vol. 198, pp. 33–38, 1996.CrossRefGoogle Scholar
  24. 24.
    Zakharov S.M.,., Goryacheva I.G., Pogorelov D.Yu., Yazikov D.N.., Zarov I.A., Torskaya E.V., Soshenkov S.N., Prozorov Ya.S., “Estimation of evolution of freight wheel profiles on the basis of tribodynamical model”, Tyazeloe mashinostroenie, no. 3 pp. 19–26, 2007.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • Irina G. Goryacheva
    • 1
  1. 1.Institute for Problems in MechanicsRussian Academy of SciencesRussia

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