Advertisement

Non-Hertzian Contact Problems

  • Ghodratollah Karami
Part of the Lecture Notes in Engineering book series (LNENG, volume 51)

Abstract

In most situations, contact problems are outside the validity of the Hertz theory. Due to the fact that the surface of the bodies cannot be considered quadratic near the contact point, or the presence of friction in the contact area, the Hertz solution is not applicable. In such cases, usually analytical solutions are not also available, so an approximate solution has to be obtained, using either a finite element method (see, for example, Okamoto and Nakazawa 1) or a more specific variational formulation (see, for example, singh & paul 2).

Keywords

Contact Problem Elastic Foundation Circumferential Stress Finite Element Result Circular Inclusion 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Okamoto, N., and Nakazawa, M., “Finite Element Incremental Contact Analysis with Various Frictional Conditions”, Int. J. Num. Meth. Engng., 14 1979, 331–357.CrossRefGoogle Scholar
  2. 2.
    Singh, K.P., and Paul, B., “Numerical Solution of Non-Hertzian Elastic Contact Problems”, Trans. ASME, J. Appl. Mech., 41, 1974, 484–490.CrossRefGoogle Scholar
  3. 3.
    Borodchev, N.M., and Galin, L.A., “Contact Problems for a Stamp with Narrow Rectangular Base”, J. App. Math, and Mechanics, 38, 1974, 125–130.Google Scholar
  4. 4.
    Panek, C. and Kalker, J.J., “A Solution for the Narrow Rectangular Punch”, J. of Elasticity, 1977, 213–218.Google Scholar
  5. 5.
    Ohte, S., “Finite Element Analysis of Elastic Contact Problems”, Bull. J. ASME, 16, 1973, 797–804.Google Scholar
  6. 6.
    Fredriksson, B., “Finite Element Solution of Surface Non-Linearities in Structural Mechanics with Special Emphasis to Contact and Fracture Mechanics Problems”, Comp. & Struct., 6, 1976, 281–290.MATHCrossRefGoogle Scholar
  7. 7.
    Xanthis, L.S., Bernal, M.J.M., and Atkinson, C., “The Treament of singularities in Calculation of Stress Intensity Factor Using the Boundary Integral Equation Method”, Comp. Meth. Appl. Mech. Engng., 26, 1981, 285–304.MathSciNetMATHCrossRefGoogle Scholar
  8. 8.
    Enderby, L.R., and White, D.J., “Assessment of Vulcan Diesel Engine Slave Connecting Rod”, English Electric Co. Report, W/M (1B), 1968, 1425.Google Scholar
  9. 9.
    Francavilla, A., and Zienkiewicz, O.C., “A Note on Numerical Computational of Elastic Contact Problems”, Int. J. Num. Meth. Engng., 9, 1975, 913–924.CrossRefGoogle Scholar
  10. 10.
    White, D.J., and Enderby, L.R., “Finite Element Stress Analysis of a Non-Linear Problem: A Connecting-Rod Eye Loaded by Means of a Pin”, J. Strain. Anal., 5, 1970, 41–48.CrossRefGoogle Scholar
  11. 11.
    Chan, S.K., and Tuba, I.S., “Finite Element Method for Contact Problems of Solid Bodies, Part II. Application to Turbine Blade Fastening”, Int. J. Mech. Sci., 13, 1971, 627–639.CrossRefGoogle Scholar
  12. 12.
    Stippes, M., Wilson, H.B., and Krull, F.N., “Contact Stress Problem for a Smooth Disk in an Infinite Plate”, Proc. 4th US National Contress of Applied Mechanics, 1962, 799–806.Google Scholar
  13. 13.
    Wilson, H.B., “Approximate Determination of Contact Stresses in an Infinite Plate with a Smooth Circular Insert”, in Proc. of 2nd South Eastern Conference on Theoretical and Applied Mechanics, 1964, 147–163.Google Scholar
  14. 14.
    Hussain, M.A., and Pu, S.L., “Slip Phenomenon for a Circular Inclusion”, Trans. ASME, J. Appl. Mech., 38, 1971, 627–633.MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • Ghodratollah Karami
    • 1
  1. 1.Dept. of Mechanical Engineering, School of EngineeringShiraz UniversityShirazIran

Personalised recommendations