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TECHNICAL PAPERS

Experimental Investigation of the Elastic–Plastic Contact Area and Static Friction of a Sphere on Flat

[+] Author and Article Information
I. Etsion, O. Levinson, G. Halperin, M. Varenberg

Department of Mechanical Engineering, Technion, Haifa, 32000, Israel

J. Tribol 127(1), 47-50 (Feb 07, 2005) (4 pages) doi:10.1115/1.1843834 History: Received May 05, 2004; Revised August 26, 2004; Online February 07, 2005
Copyright © 2005 by ASME
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References

Liu,  G., Wang,  Q. J., and Lin,  C., 1999, “A Survey of Current Models for Simulating the Contact between Rough Surfaces,” Tribol. Trans., 42, pp. 581–591.
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300–319.
Pullen,  J., and Williamson,  J. B. P., 1972, “On the Plastic Contact of Rough Surfaces,” Proc. R. Soc. London, Ser. A, 327, pp. 159–173.
Chang,  W. R., Etsion,  I., and Bogy,  D. B., 1987, “Elastic Plastic Model for the Contact of Rough Surfaces,” ASME J. Tribol., 109, pp. 257–262.
Chang,  W. R., Etsion,  I., and Bogy,  D. B., 1988, “Static Friction Coefficient Model Metallic Rough Surfaces,” ASME J. Tribol., 110, pp. 57–63.
Kogut,  L., and Etsion,  I., 2002, “Elastic–Plastic Contact Analysis of a Sphere and a Rigid Flat,” ASME J. Appl. Mech., 69, pp. 657–662.
Kogut,  L., and Etsion,  I., 2003, “A Semi-Analytical Solution for the Sliding Inception of a Spherical Contact,” ASME J. Tribol., 125, pp. 499–506.
Xie,  W., De Meter,  E. C., and Trethewey,  M. W., 2000, “An Experimental Evaluation of Coefficients of Static Friction of Common Workpiece-Fixture Element Pairs,” Int. J. Mach. Tools Manuf., 40, pp. 467–488.
Liu,  Z., Neville,  A., and Reuben,  R. L., 2002, “The Effect of Film Thickness on Initial Friction of Elastic–Plastically Rough Surface With a Soft Thin Metallic Film,” ASME J. Tribol., 124, pp. 627–636.
Johnson,  K. L., 2000, “The Contribution of Micro/Nano-Tribology to the Interpretation of Dry Friction,” Proc. Inst. Mech. Eng., Part C: Mech. Eng. Sci., 214, pp. 11–22.
Tabor,  D., 1959, “Junction Growth in Metallic Friction: The Roll of Combined Stresses and Surface Contamination,” Proc. R. Soc. London, Ser. A, 251, pp. 378–393.
Courtney-Pratt,  J. S., and Eisner,  E., 1957, “The Effect of Tangential Force on the Contact of Metallic Bodies,” Proc. R. Soc. London, Ser. A, 238, pp. 529–550.

Figures

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Schematic of the experimental system
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Friction force and relative displacement at P=12 N,D=15 mm, and P/Pc=1.3
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Static friction and relative displacement at P=60 N,D=3 mm, and P/Pc=154
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Dimensionless contact area vs dimensionless normal load (copper on steel) for D=3 mm (○), D=5 mm (□), and D=10 mm (▵). The solid and dashed lines represent best fit of experimental data and theoretical prediction (Ref. 6), respectively.
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Photographs of the contact area trace following normal load of P/Pc=220. The arrow in part (b) shows the sliding direction of the steel flat.
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Static friction coefficient vs normal load (copper on sapphire) for D=3 mm (○), D=5 mm (□), and D=15 mm (▵)
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Static friction coefficient vs dimensionless normal load of all the copper sphere diameters on both sapphire (○) and steel (▵) flats
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A comparison of the theoretical results 7 (dashed line), and current experimental results (copper–sapphire (○) and copper–steel (▵) combinations) of the static friction coefficient vs dimensionless normal load

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