0
TECHNICAL PAPERS

Coefficients of Restitution Based on a Fractal Surface Model

[+] Author and Article Information
Chung-Jen Lu, Ming-Chang Kuo

Department of Mechanical Engineering, National Taiwan University, No. 1 Roosevelt Road, Section 4, Taipei 10617, Taiwan

J. Appl. Mech 70(3), 339-345 (Jun 11, 2003) (7 pages) doi:10.1115/1.1574063 History: Received October 10, 2001; Revised September 09, 2002; Online June 11, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Tabor, D., 1951, The Hardness of Metals, Oxford University Press, London.
Goldsmith, W., 1960, Impact, Arnold, London.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
Ling,  F. F., 1958, “On Asperity Distributions of Metallic Surface,” J. Appl. Phys., 29, pp. 1168–1174.
Nayak,  P. R., 1971, “Random Process Model of Rough Surfaces,” ASME J. Tribol., 93, pp. 398–407.
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “The Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, A295, pp. 300–319.
Whitehouse,  D. J., and Archard,  J. F., 1970, “The Properties of Random Surfaces of Significance in Their Contact,” Proc. R. Soc. London, Ser. A, A316, pp. 97–121.
Bush,  A. W., Gibson,  R. D., and Thomas,  T. R., 1975, “The Elastic Contact of a Rough Surface,” Wear, 35, pp. 87–111.
Yamada,  K., Takeda,  N., Kagami,  J., and Naoi,  T., 1978, “Mechanisms of Elastic Contact and Friction Between Rough Surfaces,” Wear, 48, pp. 15–34.
Bhushan,  B., 1984, “Analysis of the Real Area of Contact Between a Polymeric Magnetic Medium and a Rigid Surface,” ASME J. Tribol., 106, pp. 26–34.
McCool,  J. I., 1986, “Comparison of Models for the Contact of Rough Surfaces,” Wear, 107, pp. 37–60.
Chang,  W. R., Etsion,  I., and Body,  D. B., 1987, “An Elastic-Plastic Model for the Contact of Rough Surfaces,” ASME J. Tribol., 109, pp. 257–263.
Chang,  W.-R., and Ling,  F. F., 1992, “Normal Impact Model of Rough Surfaces,” ASME J. Tribol., 114, pp. 439–447.
Sayles,  R. S., and Thomas,  T. R., 1979, “Measurements of the Statistical Microgeometry of Engineering Surfaces,” ASME J. Lubr. Technol., 101, pp. 409–418.
Greenwood,  J. A., 1984, “A Unified Theory of Surface Roughness,” Proc. R. Soc. London, Ser. A, A393, pp. 133–157.
Ling,  F. F., 1989, “The Possible Role of Fractal Geometry in Tribology,” Tribol. Trans., 32, pp. 497–505.
Majumdar,  A., and Bhushan,  B., 1990, “Role of Fractal Geometry in Roughness Characterization and Contact Mechanics of Surfaces,” ASME J. Tribol., 112, pp. 205–216.
Mandelbrot, B. B., 1983, The Fractal Geometry of Nature, Freeman, New York.
Kaplan,  T., and Gray,  L. J., 1985, “Effect of Disorder on a Fractal Model for the AC Response of a Rough Interface,” Phys. Rev. B, 32, pp. 7360–7366.
Church,  E. L., 1988, “Fractal Surface Finish,” Appl. Opt., 27, pp. 1518–1526.
Majumdar,  A., and Bhushan,  B., 1991, “Fractal Model of Elastic-Plastic Contact Between Rough Surfaces,” ASME J. Tribol., 113, pp. 1–11.
Wang,  S., and Komvopoulos,  K., 1994, “A Fractal Theory of the Interfacial Temperature Distribution in the Slow Sliding Regime: Part I—Elastic Contact and Heat Transfer Analysis,” ASME J. Tribol., 116, pp. 812–823.
Borodich,  F. M., and Mosolov,  A. B., 1992, “Fractal Roughness in Contact Problems,” J. Appl. Math. Mech., 56, pp. 681–690.
Warren,  T. L., Majumdar,  A., and Krajcinovic,  D., 1996, “A Fractal Model for the Rigid-Perfectly Plastic Contact of Rough Surfaces,” ASME J. Appl. Mech., 63, pp. 47–54.
Cook, R. D., and Young, W. C., 1985, Advanced Mechanics of Materials, Macmillan, New York.
Bhattacharya,  A. K., and Nix,  W. D., 1988, “Finite Element Simulation of Indentation Experiments,” Int. J. Solids Struct., 24, pp. 881–891.

Figures

Grahic Jump Location
Fractal surface constructed from the Cantor set
Grahic Jump Location
A Cantor set surface in contact with a smooth rigid half-space
Grahic Jump Location
A single asperity in contact with a smooth rigid half-space
Grahic Jump Location
Comparison of the asymptotic (solid) and series (dashed) results of the load-displacement curves for various values of fractal parameters, (a) fx=1.2, (b) fx=1.5
Grahic Jump Location
Load versus displacement as a function of Young’s modulus-to-yield stress ratio
Grahic Jump Location
Load-displacement curves for different values of fractal parameters, (a) fx=1.4, (b) fx=1.8
Grahic Jump Location
Coefficient of restitution versus incident velocity as a function of Young’s modulus-to-yield stress ratio
Grahic Jump Location
Coefficient of restitution versus incident velocity for different values of fractal parameters, (a) fx=1.5, (b) fz=1.5

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In