Semi-Graphical Methods for the Calculation of Real Areas of Loaded Contact by Means of the Abbott-Firestone Bearing Curve

[+] Author and Article Information
V. S. Radchik, B. Ben-Nissan

University of Technology, Sydney Department of Chemistry Materials and Forensic Science, P. O. Box 123, Broadway N. S. W. 2007, Australia

W. H. Müller

Heriot-Watt University, Department of Mechanical and Chemical Engineering, Riccarton Campus, Edinburgh EH14 4AS, United Kingdom

J. Tribol 124(1), 223-226 (Mar 15, 2001) (4 pages) doi:10.1115/1.1398545 History: Received July 27, 2000; Revised March 15, 2001
Copyright © 2002 by ASME
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Abbott,  E. J., and Firestone,  F. A., 1933, “Specifying Surface Quantity—A Method Based on Accurate Measurements and Comparisons,” Mech. Eng. (Am. Soc. Mech. Eng.), 55, pp. 569–572.
Böhm,  H. J., 1992, “Parameters for Evaluating the Wearing Behavior of Surfaces,” Int. J. Mach. Tool Des. Res., 32, pp. 109–113.
Ju,  Y. Q., and Zheng,  L. Q., 1992, “A Full Numerical Solution for the Elastic Contact of 3-Dimensional Real Rough Surfaces,” Wear, 157, No. 1, pp. 151–161.
Winn,  A. J., Dowson,  D., and Bell,  J. C., 1995, “The Lubricated Wear of Ceramics 1. The Wear and Friction of Silicon Nitride, Alumina and Steel in the Presence of a Mineral Oil Based Lubricant,” Tribol. Int., 28, No. 6, pp. 383–393.
Leng,  Y., Yang,  G., Yan,  H., and Zheng,  L., 1996, “The Characteristics of Elastically Contacting Ideal Rough Surfaces,” ASME J. Tribol., 118, No. 1, pp. 90–97.
Varadi,  K., Neder,  Z., and Friedrich,  K., 1996, “Evaluation of the Real Contact Areas, Pressure Distributions and Contact Temperatures During Sliding Contact Between Real Metal Surfaces,” Wear, 200, No. 1–2, pp. 55–62.
Quon,  R. A., Knarr,  R. F., and Vanderlick,  T. K., 1999, “Measurement of the Deformation and Adhesion of Rough Solids in Contact,” J. Phys. Chem. B, 103, No. 25, pp. 5320–5327.
Ravikiran,  A., and Lim,  S. C., 1999, “A Better Approach to Wear-Rate Representation in Non-Conformal Contacts,” Wear, 229, No. 2, pp. 1309–1314.
So,  H., and Liu,  D. C., 2000, “A Model for Elastic-Plastic Contact of Ellipsoids With Work-Hardening Effect,” J. Chin. Inst. Eng., 23, No. 1, pp. 1–8.
Aramaki,  H., Cheng,  H. S., and Chung,  Y.-W., 1993, “The Contact Between Rough Surfaces With Longitudinal Texture: Part I—Average Contact Pressure and Real Contact Area,” ASME J. Tribol., 115, pp. 419–424.
Kragelski, I. V., 1965, Friction and Wear, Butterworth, London, U.K., pp. 44–49.
Jones,  M. H., Howells,  R. I. L., and Probert,  S. D., 1968, “Solids in Static Contact—A Review of (a) Methods of Obtaining the Real Areas of Contact, (b) The Modes of Asperity Deformation, and (c) The Thermal and Electrical Resistances, Between Solids in Contact,” Wear, 12, pp. 225–240.
Radchik,  V. A., 1986, “Some Remarks to Calculations of Elastic Contact of Rough Flat Surfaces,” Izvestiya VUZ’ov USSR Mashinostroenie (in Russian), 5, pp. 7–9.
Shtaerman, I. Y., 1949, Contact Problems of the Theory of Elasticity, Gostekhizdat, Moscow (in Russian).
Timoshenko, S., and Goddier, I. V., 1951, Theory of Elasticity, McGraw-Hill Book Company, New York.


Grahic Jump Location
The semi-graphical method of calculating the real area of contact by means of the Abbott-Firestone “bearing curve.”
Grahic Jump Location
Possible shapes of asperity meridian sections, as a function of power, n(S2 is shown in gray behind the hatched area S1, see the Appendix for a derivation of the contact size (Aα)1/2n): (a) n=1; (b) n=2; (c) n=3; (d) n=4; and (e) n=5 (for symbols used see Nomenclature section).




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