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Elastic Multiscale Contact of Rough Surfaces: Archard’s Model Revisited and Comparisons With Modern Fractal Models

[+] Author and Article Information
M. Ciavarella

CNR-IRIS, str. Crocefisso 2/B, 70125 Bari, Italy e-mail: M.Ciavarella@area.ba.cnr.it

G. Demelio

Dipartimento di Progettazione e Produzione Industriale, Politecnico di Bari, Viale Japigia 182, 70126 Bari, Italy e-mail: Demelio@poliba.it

J. Appl. Mech 68(3), 496-498 (May 22, 2000) (3 pages) doi:10.1115/1.1352016 History: Received August 11, 1999; Revised May 22, 2000

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References

Bowden, F. P., and Tabor, D., 1950, Friction and Lubrication of Solids, Clarendon Press, Oxford, UK.
Lincoln,  B., 1953, Nature (London), 172, p. 169.
Archard,  J. F., 1953, “Elastic Deformation and the Contact of Surfaces,” Nature (London), 172, No. 4385, pp. 918–919.
Archard,  J. F., 1957, “Elastic Deformation and the Laws of Friction,” Proc. R. Soc. London, Ser. A, A243, pp. 190–205.
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.
Johnson,  K. L., 2000, “The contribution of Micro-Nano-Tribology to the Interpretation of Dry Friction,” Proc. Inst. Mech. Eng., 214, Part C, pp. 11–22.
Mandelbrot, B. B., 1982, The Fractal Geometry of Nature, Freeman, San Francisco.
Russ, J. C., 1994, Fractal Surfaces, Plenum Press, New York.
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.
Majumdar, A., and Bhushan, B., 1995, Characterization and Modeling of Surface Roughness and Contact Mechanics. Handbook of Micro/Nano Tribology, CRC Press, Boca Raton, FL, pp. 109–165.
Borri-Brunetto, M., Carpinteri, A., and Chiaia, B., 1998, “Lacunarity of the Contact Domain Between Elastic Bodies With Rough Boundaries,” Probamat-21st Century: Probabilities and Materials, G. Frantziskonis, ed., Kluwer, Dordrecht. pp. 45–64.
Barber,  J. R., and Ciavarella,  M., 2000, “Contact Mechanics,” special issue “Recent Trends in Solid Mechanics,” Int. J. Solids Struct., 37, pp. 29–43.
Ciavarella,  M., Demelio,  G., Barber,  J. R., and Jang,  Y. H., 2000, “Linear Elastic Contact of the Weierstrass Profile,” Proc. R. Soc. London, Ser. A, 456, No. 1994, pp. 387–405.
Greenwood,  J. A., and Tripp,  J. H., 1967, “The Elastic Contact of Rough Spheres,” ASME J. Appl. Mech., 34, p. 153.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.

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Grahic Jump Location
Example of geometry for the Archard model

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