Skip to main content

Application of the BEM Method to Hertzian Contact Problems

  • Chapter
Lecture Notes in Engineering

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 51))

  • 198 Accesses

Abstract

The algorithm developed in previous chapters is capable of solving large and complex contact problems. The method is not confined to specific shapes of bodies in contact and is implemented in a general purpose Boundary Integral Equation method computer program. This requires that the materials of the two bodies should obey the basic laws of small strain linear elasticity, and that the bodies should be discretized into boundary elements.

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

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. Johnson, K.L., “One Hundred Years of Hertz Contact”, Proc. Instn. Mech. Engrs., 196, 1982, 39.

    Article  Google Scholar 

  2. Gladwell, G.M.L., “Contact Problems in the Classical Theory of Elasticity”, Sijthoff & Noordhoff, 1980.

    MATH  Google Scholar 

  3. Conry, T.F., and Seireg, A., “A Mathematical Programming Method for Design of Elastic Bodies in Contact”, Trans. ASME, J. Appl. Mech., 93, 1971, 387–392.

    Article  Google Scholar 

  4. Nayak, L., and Johnson, K.L., “Pressure Between Elastic Bodies having a Slender Area of Contact and Arbitrary Profiles”, Int. J. Mech. Sci., 21, 1979, 237–247.

    Article  MATH  Google Scholar 

  5. Hartnett, M.J., “The Analysis of Contact Stresses in Rolling Element Bearing”, Trans. ASME, J. Lub. Tech., 101, 105–109.

    Google Scholar 

  6. Chan, S.K., and Tuba, I.S., “A Finite Element Method for Contact Problems of Solid Bodies, Part I. Theory and Validation”, Int. J. Mech. Sci., 13, 1971, 615–626.

    Article  MATH  Google Scholar 

  7. Okamoto, N., and Nakazawa, M., “Finite Element Incremental Contact Analysis with Various Frictional Conditions”, Int. J. Num. Meth. Engng., 14, 1979, 331–357.

    Article  Google Scholar 

  8. Hartnett, M.J., and Kannel, J.W., “Contact Stresses Between Elastic Cylinders: A Comprehensive Theoretical and Experimental Approach”, Trans. ASME, J. Lub. Tech., 103, 1981, 40–45.

    Google Scholar 

  9. Smith, J.O., and Liu, C.K., “Stresses due to Tangential and Normal Load on an Elastic Solid”, Trans. ASME, J. Appl. Mech., 21, 1953, 157–166.

    Google Scholar 

  10. Thomas, M.R., and Hersch, V.A., “Stresses due to the Pressure of one Elastic Solid upon Another”, Univ. of Illinois Engineering, Expt. Sta. Bull., No. 212, 1930.

    Google Scholar 

  11. Timoshenko, S.P., and Goodier, J.N., “Theory of Elasticity”, McGraw-Hill, New York, 1970.

    MATH  Google Scholar 

  12. Nikpur, K., and Gohar, R., “Deflection of a Roller Compressed Between Platens”, Tribology International, 8, 1975, 2.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin, Heidelberg

About this chapter

Cite this chapter

Karami, G. (1989). Application of the BEM Method to Hertzian Contact Problems. In: Lecture Notes in Engineering. Lecture Notes in Engineering, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83897-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-83897-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51562-3

  • Online ISBN: 978-3-642-83897-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics