Theoretical and Experimental Contact Stiffness Characterisation of Nominally Flat Surfaces

Abstract:

In this study the tangential contact stiffness between two elastic bodies having nominally flat surfaces with different material combinations is investigated. The tangential contact stiffness between these two elastic bodies is first calculated based on the Greenwood-Williamson-McCool contact theory. Then, the tangential contact stiffness is determined by experimental investigation on a tribometer under the effect of different values of normal load and tangential displacement amplitude. The tangential contact stiffnesses obtained from the experimental data show a good agreement with the theoretical results, where the trends are similar and they are in the same order of magnitude.

• Periodical: Applied Mechanics and Materials (Volume 186)
• Pages: 107-113
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.186.107
• Online since: June 2012
• Authors: Iuliana Piscan, Agusmian P. Ompusunggu, Thierry Janssens, Nicolae Predincea
• Keywords: Elastic Contact, Rough Surface, Tangential Contact Stiffness, Weibull Distribution

References

[1] H. Hertz, On the Contact of Elastic Bodies, J. Reine Angtw. Math. vol. 92, pp.156-171 (1886)

[2] Chang, W.R., Etsion, I., Bogy, D.B., 1987. An elastic–plastic model for the contact of rough surfaces. J. Tribol. Trans. ASME 109, 257–263.

DOI: 10.1115/1.3261348

[3] Kogut, L., Etsion, I., 2002. Elastic–plastic contact analysis of a sphere and a rigid flat. J. Appl. Mech. Trans. ASME 69, 657–662.

DOI: 10.1115/1.1490373

[4] J.A. Greenwood, J.B.P. Williamson, Contact of nominally flat surfaces, Proc. R. Soc. Lond. A295 (1966), p.300–319.

[5] J. I. McCool, Extending the Capability of the Greenwood Williamson Microcontact Model, ASME J. Tribol., 122(3), (2000), p.496–502.

DOI: 10.1115/1.555392

[6] J.I., McCool, Non-Gaussian effects in microcontacts, Int. J. Mach. Tools Manuf. 32, (1992), pp.115-123.

[7] M.P. Dolbey and R.Bell, The contact stiffness of joints at low applied interface pressures. Annals of the CIRP 19, (1971), pp.67-79

[8] R.H. Thornley and F. Koenigsberger, Dynamic characteristics of machined joint loaded and excited normal to the joint face. Annals of the CIRP 19, (1971), pp.459-469

[9] N. Back, M. Burdekin and A. Cowley, Review of the research on fixed and sliding joints. Proc. 13th MTDR Conf., Macmillan, London, (1973), pp.87-97

[10] F. P. Bowden and D. Tabor, Friction and Lubrication of Solids, vol. 1, Oxford University Press, Oxford, England, (1954)

[11] D. J. Whitehouse, Handbook of Surface Metrology, Institute of Physics Publishing, Bristol, UK, (1994)

[12] K. J. Stout, Davis, E. J., and P. J. Sullivan, Atlas of Machined Surfaces, Chapman and Hall, London, (1990)

[13] H. Gao, and G.C. Barber.: Microcontact Model for Paper-Based Wet Friction Materials. ASME Journal of Tribology, 124 (2002), p.414 – 419

DOI: 10.1115/1.1430674

[14] M.S. Longuet-Higgins, The Statistical Analysis of a Random, Moving Surface, Philos. Trans. R. Soc. London, Series A, 249, (1957), pp.321-387

[15] A.W. Bush, R.D. Gibson, and G. P. Keogh, The Limit of Elastic Deformation in the Contact of Rough Surfaces, Mech. Res. Commun., Vol. 3, (1967), pp.169-174

DOI: 10.1016/0093-6413(76)90006-9

[16] A.P. Ompusunggu, T. Janssens, F. Al-Bender, P. Sas, H. Van Brussel, Contact Stiffness Characteristics of a Paper-Based Wet Clutch at Different Degradation Levels, Proceeding of the 17th International Colloquium Tribology 2010 Solving Friction and Wear Problems, Stuttgart/Ostfildern Germany, 19–21 January (2010)

DOI: 10.1016/j.triboint.2014.11.016

[17] K.L. Johnson.: Contact Mechanics. Cambridge University Press, (1985)

[18] R. Buczkowski, and M. Kleiber.: A Stochastic model of Rough Surfaces for Finite Element Contact Analysis. Comput. Methods Appl. Mech. Engrg., 169 (1999), p.43 – 59

DOI: 10.1016/s0045-7825(98)00175-3

[19] F. Al-Bender, W. Symens, J. Swevers, H. Van Brussel, Theoretical analysis of the dynamic behavior of hysteresis elements in mechanical systems, International Journal of Non-Linear Mechanics 39 (2004) 1721 – 1735

DOI: 10.1016/j.ijnonlinmec.2004.04.005