Skip to main content

Multiscale Modelling in Contact Mechanics

  • Conference paper
IUTAM Symposium on Scaling in Solid Mechanics

Part of the book series: Iutam Bookseries ((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.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Westergaard H.M. “Bearing pressure and cracks”, Journal of Applied Mechanics, vol. 6. no. 1, pp. 49–53, 1939.

    Google Scholar 

  2. Staierman I.Ya. The Contact Problem of the Theory of Elasticity. Moscow, Gostekhizdat, 1949.

    Google Scholar 

  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. 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.

    Article  Google Scholar 

  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. 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.

    Article  MATH  Google Scholar 

  7. Goryacheva I.G. Contact Mechanics in Tribology, Dordreht, Kluwer Academic Publishers, 1997.

    Google Scholar 

  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, 1999

    Article  MathSciNet  Google Scholar 

  9. Goryacheva I.G. “Mechanics of discrete contact” Tribology International, vol. 39, pp. 381–386, 2006.

    Article  Google Scholar 

  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. 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. 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. 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. Ionov V.N., Ogibalov, P.M. Strength of Three-Dimensional Structural Elements, Nauka, Moscow, 1972

    Google Scholar 

  15. Regel, R.V., Slutsker, A.I., Tomashevsky, E.E. Kinetics Foundation of Strength of Solids, Moscow, Nauka, 1974.

    Google Scholar 

  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. 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. 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. 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.

    MathSciNet  Google Scholar 

  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. 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. 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. Chekina O.G., Goryacheva I.G., Krasnik V.G. “The model for tool wear in rock cutting” Wear, vol. 198, pp. 33–38, 1996.

    Article  Google Scholar 

  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 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer Science+Business Media B.V.

About this paper

Cite this paper

Goryacheva, I.G. (2009). Multiscale Modelling in Contact Mechanics. In: Borodich, F. (eds) IUTAM Symposium on Scaling in Solid Mechanics. Iutam Bookseries, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9033-2_12

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-9033-2_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-9032-5

  • Online ISBN: 978-1-4020-9033-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics