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TECHNICAL PAPERS

Adhesion at the Wavy Contact Interface Between Two Elastic Bodies

[+] Author and Article Information
George G. Adams

Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115e-mail: adams@neu.edu

J. Appl. Mech 71(6), 851-856 (Jan 27, 2005) (6 pages) doi:10.1115/1.1794702 History: Received August 08, 2003; Revised April 03, 2004; Online January 27, 2005
Copyright © 2004 by ASME
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References

Sadowski,  M. A., 1928, “Zwiedimensionale Probleme der Elastizitatshtheorie,” Z. Angew. Math. Mech., 8, pp. 107–121.
Westergaard,  H. M., 1939, “Bearing Pressures and Cracks,” ASME J. Appl. Mech., 6, pp. A49–A53.
Shtaerman, I. Ya., 1949, Contact Problem in the Theory of Elasticity (in Russian), Gostehizdat, Moscow.
Dundurs,  J., Tsai,  K. C., and Keer,  L. M., 1973, “Contact Between Elastic Bodies With Wavy Surfaces,” J. Elast., 3, pp. 109–115.
Kuznetsov,  E. A., 1985, “Effect of Fluid Lubricant on the Contact Characteristics of Rough Elastic Bodies in Compression,” Wear, 157, pp. 177–194.
Kuznetsov,  E. A., 1976, “Periodic Contact Problem for Half-Plane Allowing for Forces of Friction,” Sov. Appl. Mech., 12, pp. 37–44.
Nosonovsky,  M., and Adams,  G. G., 2000, “Steady State Frictional Sliding of Two Elastic Bodies With a Wavy Contact Interface,” ASME J. Tribol., 122, pp. 490–495.
Johnson,  K. L., Greenwood,  J. A., and Higginson,  J. G., 1985, “The Contact of Elastic Regular Wavy Surfaces,” Int. J. Mech. Sci., 27, pp. 383–396.
Manners,  W., 1998, “Partial Contact Between Elastic Surfaces With Periodic Profiles,” Proc. R. Soc. London, Ser. A, 454, pp. 3203–3221.
Johnson,  K. L., Kendall,  K., and Roberts,  A. D., 1971, “Surface Energy and the Contact of Elastic Solids,” Proc. R. Soc. London, Ser. A, 324, pp. 301–313.
Derjaguin,  B. V., Muller,  V. M., and Toporov,  Y. P., 1975, “Effect of Contact Deformations on the Adhesion of Particles,” J. Colloid Interface Sci., 53, pp. 314–326.
Tabor,  D., 1976, “Surface Forces and Surface Interactions,” J. Colloid Interface Sci., 58, pp. 2–13.
Maugis,  D., 1992, “Adhesion of Spheres: The JKR-DMT Transition Using a Dugdale Model,” J. Colloid Interface Sci., 150, pp. 243–269.
Dundurs,  J., 1969, Discussion on “Edge Bonded Dissimiliar Orthogonal Elastic Wedges Under Normal and Shear Loading,” ASME J. Appl. Mech., 36, pp. 650–652.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, England.
Sokolnikoff, I. S., 1956, Mathematical Theory of Elasticity, Second Edition, McGraw-Hill, New York.
Gelfand, I. M., and Shilov, G. E., 1964, Generalized Functions, Vol. 1, Academic Press, New York.
Comninou,  M., and Dundurs,  J., 1977, “Elastic Interface Waves Involving Separation,” ASME J. Appl. Mech., 44, pp. 222–226.
Erdogan,  F., and Gupta,  G. D., 1972, “On the Numerical Solution of Singular Integral Equations,” Q. Appl. Math., 29, pp. 525–534.

Figures

Grahic Jump Location
Two elastic half-spaces with a wavy contact interface subjected to a remotely applied pressure (p)
Grahic Jump Location
Contact half-length (a) and adhesion half-length (c) versus applied pressure (p/Mg) for σ0/Mg=0.1 and g/h0=100
Grahic Jump Location
Contact half-length (a) and adhesion half-length (c) versus applied pressure (p/Mg) for σ0/Mg=0.5 and g/h0=100
Grahic Jump Location
Contact half-length (a) and adhesion half-length (c) versus applied pressure (p/Mg) for σ0/Mg=1.0 and g/h0=100
Grahic Jump Location
Contact half-length (a) and adhesion half-length (c) versus applied pressure (p/Mg) for σ0/Mg=0.1 and g/h0=10
Grahic Jump Location
Contact half-length (a) and adhesion half-length (c) versus applied pressure (p/Mg) for σ0/Mg=0.5 and g/h0=10
Grahic Jump Location
Contact half-length (a) and adhesion half-length (c) versus applied pressure (p/Mg) for σ0/Mg=1.0 and g/h0=10
Grahic Jump Location
Maximum separation (hM/g) versus applied pressure (p/Mg) for various values of σ0/Mg and g/h0

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