Advertisement

Experimental Mechanics

, Volume 31, Issue 2, pp 144–149 | Cite as

A photoelastic study of friction at multipoint contacts

  • J. W. Dally
  • Y. -M. Chen
Article

Abstract

A new method of measuring the normal and sliding loads associated with multiple-point contact is introduced. A multiple-point contact is modeled with a steel die with a profile that simulates a rough surface. A very large scale factor is used in modeling this surface. The steel die is placed in contact with a photoelastic model of a half plane and is subjected to a normal load. This normal load is partitioned over the multiple points of contact producing an isochromatic fringe pattern that describes the stress distribution in the local neighborhood of the contact points. A sliding load is then imposed on the model which destroys the symmetry of this fringe pattern. The fringe data in this pattern are sufficient to determine the local loadsP i andQ i and the local coefficient of frictionf i =Q i /P i at each contact point. An overdeterministic method is introduced which gives the solution forP i ,Q i andf i using many data points taken from the isochromatic pattern in the local neighborhood of the contacts.

Keywords

Rough Surface Fluid Dynamics Stress Distribution Contact Point Normal Load 
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.
    Amontons, G., “On the Resistance Caused in Machines by the Friction of Their Component Parts as well as by Stiffness of the Cards Used There, and the Way to Calculate the One and the Other,”Mémoires de Mathématique et de Physique, Academie Royale des Sciences, Paris (1699).Google Scholar
  2. 2.
    Deresiewicz, H., “Amontons and Coulomb, Friction's Founding Fathers,”Approaches to Modeling of Friction and Wear, ed. F.F. Ling andC.H.T. Pan, Springer-Verlag, New York (1988).Google Scholar
  3. 3.
    Coulomb, C., “Théorie des Machines Simple. En ayant égard au frottement de leurs parties et à la roideur des Cordages,”Mémoires de Mathématique et de Physique,X,161–332 +5 plates (1785).Google Scholar
  4. 4.
    Bowden, F.P. andTabor, D., Friction and Lubrication of Solids, Part II, Clarendon Press, Oxford (1964).Google Scholar
  5. 5.
    Peterson, M.B. andLing, F.F., “Frictional Behavior in Metal-working Processes,”J. Lubrication Tech.,92,535–542 (1970).Google Scholar
  6. 6.
    Challen, J.M. andOxley, P.L.B., “An Explanation of the Different Requirements of Friction and Wear Using Asperity Deformation Models,”Wear,53,229–243 (1979).CrossRefGoogle Scholar
  7. 7.
    Suh, N.P., “Surface Interactions,”Tribology Technology Vol. I, ed. P.B. Senholzi, Martinus Nijhoff Publishers, Boston, 37–208 (1982).Google Scholar
  8. 8.
    Kuhlmann-Wilsdorf, D., “Dislocation Concepts in Friction and Wear,”Fundamentals of Friction and Wear of Materials, ed. D.A. Rigney, ASM, Metals Park, 119–186 (1981).Google Scholar
  9. 9.
    Fessler, H. and Ollerton, E., “Contact Stresses in Toroid Under Radial Load,” Brit. J. Appl. Phys.,8 (Oct. 1957).Google Scholar
  10. 10.
    Haines, D.J. and Ollerton, E., “Contact Stress Distributions on Elliptical Contact Surfaces Subjected to Radial and Tangential Forces,” Proc. Inst. of Mech. Eng., Lubrication and Wear Groups,177 (4), (1963).Google Scholar
  11. 11.
    Sternlicht, B., Lewis, P. andFlynn, P., “Theory of Lubrication and Failure of Rolling Contacts,”J. Basic Eng. Trans. ASME, Series D,83 (2),213–226 (1961).Google Scholar
  12. 12.
    Hamilton, G.M., “Plastic Flow in Rollers Loaded Above the Yield Point,” Proc. Inst. Mech. Eng.,177 (25), (1963).Google Scholar
  13. 13.
    Leibensperger, R.L. andBrittain, T.M., “Shear Stresses Below Asperities in Hertzian Contact as Measures by Photoelasticity,”ASME-J. Lubrication Tech.,95,277–286 (1973).Google Scholar
  14. 14.
    Sirkis, J.S. and Lim, T.J., “Accuracy Limits for Automated Grid Methods,” SEM Spring Conf. on Exp. Mech., Albuquerque, 498–505 (1990).Google Scholar
  15. 15.
    Zhang, T.Y. andSuen, C.Y., “A Fast Parallel Algorithm for Thinning Digital Patterns”,Comm. of the ACM,27,236–239 (1984).CrossRefGoogle Scholar
  16. 16.
    Chen, T.Y. andTaylor, C.E., “Computerized Fringe Analysis in Photomechanics,”Experimental Mechanics,29 (3),323–329 (1989).Google Scholar
  17. 17.
    Dally, J.W. andRiley, W.F., Experimental Stress Analysis, McGraw-Hill, New York (1978).Google Scholar
  18. 18.
    Johnson, K.L., Contact Mechanics, Cambridge University Press (1985).Google Scholar
  19. 19.
    Sanford, R.J. andDally, J.W., “A General Method for Determining Mixed-Mode Stress Intensity Factors from Isochromatic Fringe Patterns,”Eng. Fract. Mech.,11,621–633 (1979).Google Scholar
  20. 20.
    Sanford, R.J., “Application of the Least-squares Method to Photoelastic Analysis,”Experimental Mechanics,20,192–197 (1980).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1991

Authors and Affiliations

  • J. W. Dally
    • 1
  • Y. -M. Chen
    • 1
  1. 1.Mechanical Engineering DepartmentUniversity of MarylandCollege Park

Personalised recommendations