Skip to main content
SpringerLink
Log in

Evaluation of friction coefficient using simplified deformation model of plastic hemispherical contact with a rigid flat

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

This work evaluates the friction coefficient using the model of plastic hemispherical contact against a rigid flat. The fractional profile of an ellipsoid is utilized to describe the deformed hemispherical shape, and simultaneously define the contact area ratio. Particularly, an adhesion factor is defined to assess the junction ability of asperity adhesion under compressive loading. Additionally, the complex process of contact is assumed as a series of contact states changing from fracture to shearing. The friction coefficient, which obeys the constant friction law, is then derived as a function of interference and strain hardening exponent via adhesion theory. Finally, a comparison of friction coefficient is made with the published experiment, showing that the calculated value is larger than the experimental value. Some practical conclusions are presented and a conceptual understanding of contact friction is provided.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. J. Blau, The significance and use of the friction coefficient, Tribology International, 34 (2001) 585–591.

    Article  Google Scholar 

  2. J. A. Greenwood and J. B. P. Williamson, Contact of nominally flat surfaces, Proc. R. Soc. London, Ser A, 295 (1966) 300–319.

    Article  Google Scholar 

  3. E. J. Abbott and F. A. Firestone, Specifying surface qualitya method based on accurate measurement and comparison, Mech. Eng. Am. Soc. Mech. Eng., 55 (1933) 569–572.

    Google Scholar 

  4. W. R. Chang, I. Etsion and D. B. Bogy, Static friction coefficient model metallic rough surfaces, ASME, J. Tribol., 110 (1988) 57–63.

    Article  Google Scholar 

  5. L. Kogut and I. Etsion, A semi-analytical solution for the sliding inception of a spherical contact, ASME, J. Tribol., 125 (2003) 499–506.

    Article  Google Scholar 

  6. L. Kogut and I. Etsion, A static friction model for elasticplastic contacting rough surfaces, ASME, J. Tribol., 126 (2004) 34–40.

    Article  Google Scholar 

  7. I. Etsion, O. Levinson, G. Halperin and M. Varenberg, Experimental investigation of the elastic-plastic contact and static friction coefficient of a sphere on flat, ASME, J. Tribol., 127 (2005) 47–50.

    Article  Google Scholar 

  8. V. Brizmer, Y. Kligerman and I. Etsion, Elastic-plastic spherical contact under combined normal and tangential loading in full stick, Tribology Letters, 25 (2007) 61–70.

    Article  Google Scholar 

  9. A. Ovcharenko, G. Halperin and I. Etsion, Experimental study of adhesive static friction in a spherical elastic-plastic contact, ASME, J. Tribol., 130 (2008) 021401.

    Article  Google Scholar 

  10. D. Cohen, Y. Kligerman and I. Etsion, The effect of surface roughness on static friction and junction growth of an elastic-plastic spherical contact, ASME, J. Tribol., 131 (2009) 021404.

    Article  Google Scholar 

  11. F. P. Bowden and D. Tabor, The Friction and Lubrication of Solids, Clarendon Press, Oxford (1953).

    Google Scholar 

  12. M. C. Shaw, Metal Cutting Principles, Oxford Press, Oxford (1970).

    Google Scholar 

  13. R. Jackson and I. Green, A finite element study of elasticplastic hemispherical contact against a rigid flat, ASME, J. Tribol., 127 (2005) 343–354.

    Article  Google Scholar 

  14. L. Kogut and I. Etsion, Elastic-plastic contact analysis of a sphere and a rigid flat, ASME, J. Appl. Mech., 69 (5) (2002) 657–662.

    Article  Google Scholar 

  15. M. A.-N. Hassan Mohamed, N. G. El-Sebaie and K. Yamaguchi, An improved punch friction test in sheet metal forming, Journal of the JSTP, 42 (480) (2001) 31–37.

    Google Scholar 

  16. T. Wanheim and N. Bay, A model for friction in metal forming processes, Annuals of the CIRP, 27 (1978) 189–194.

    Google Scholar 

  17. N. Bay, T. Wanheim and B. Avitzur, Models for friction in metal forming, Proc. NAMRC XVII (SME) (1989) 372–379.

  18. U. Engel and R. Eckstein, Microforming-from basic research to its realization, J. Mater. Process. Technol., 125–126 (2002) 35–44.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Technology and Science Institute of Northern Taiwan, Department of Mechanical Engineering, No. 2, Xueyuan Road, Beitou, Taipei, Taiwan, 112, R.O.C

    Daw-Kwei Leu

Authors
  1. Daw-Kwei Leu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Daw-Kwei Leu.

Additional information

This paper was recommended for publication in revised form by Associate Editor Dae-Eun Kim

Daw-Kwei Leu received M.S. and Ph. D. degrees in Mechanical Engineering from the National Taiwan University of Science and Technology in 1984 and 1995, respectively. Dr. Leu is currently a Professor at the Department of Mechanical Engineering, Technology and Science Institute of Northern Taiwan, Taipei, Taiwan. His main research field is on plasticity, metal forming process, microforming and contact friction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leu, DK. Evaluation of friction coefficient using simplified deformation model of plastic hemispherical contact with a rigid flat. J Mech Sci Technol 24, 1697–1707 (2010). https://doi.org/10.1007/s12206-010-0518-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-010-0518-x

Keywords

Search

Navigation