In this paper we consider the contact between two rectangular rough surfaces that provide normal and tangential contact forces, as well as contact moment, to counteract the net moment imposed by the applied forces. The surfaces are permitted to develop a slight angular misalignment, and thereby contact moment is derived. Through this scheme it is possible to also define elastic contribution to friction, since the half-plane tangential contact force on one side of an asperity is no longer balanced by the half-plane tangential force component on the opposite side. The elastic friction force, however, is shown to be of a much smaller order than the contact normal force.
Issue Section:
Technical Briefs
1.
Greenwood
, J. A.
, and Williamson
, J. B. P.
, 1966, “Contact of Nominally Flat Surfaces
,” Proc. R. Soc. London, Ser. A
0950-1207, 295
, pp. 300
–319
.2.
Greenwood
, J. A.
, and Tripp
, J. H.
, 1970, “The Contact of Two Nominally Flat Rough Surfaces
,” Proc. Inst. Mech. Eng.
0020-3483, 185
, pp. 625
–633
.3.
McCool
, J. I.
, 2000, “Extending the Capability of the Greenwood Williamson Microcontact Model
,” ASME J. Tribol.
0742-4787, 122
(3
), pp. 496
–502
.4.
McCool
, J. I.
, 1992, “Non-Gaussian Effects in Microcontact
,” Int. J. Mach. Tools Manuf.
0890-6955, 32
(1-2
), pp. 115
–123
.5.
Borodich
, F. M.
, and Mosolov
, A. B.
, 1992, “Fractal Roughness in Contact Problems
,” J. Appl. Math.
1110-757X, 56
(5
), pp. 681
–690
.6.
Hariri
, A.
, Zu
, J. W.
, and Mrad
, R. B.
, 2006, “n-Point Asperity Model for Contact Between Nominally Flat Surfaces
,” ASME J. Tribol.
0742-4787, 128
(3
), pp. 505
–514
.7.
Antoine
, J. -F.
, Visa
, C.
, Sauvey
, C.
, and Abba
, G.
, 2006, “Approximate Analytical Model for Hertzian Elliptical Contact Problems
,” ASME J. Tribol.
0742-4787, 128
(3
), pp. 660
–664
.8.
Ciavarella
, M.
, and Leoci
, F.
, 2006, “An Assessment of the Greenwood-Williamson and Other Asperities Models, With Special Reference to Electrical Conductance
,” ASME J. Tribol.
0742-4787, 128
(1
), pp. 10
–17
.9.
Hess
, D. P.
, and Soom
, A.
, 1992, “Normal and Angular Motions at Rough Planar Contacts During Sliding With Friction
,” ASME J. Tribol.
0742-4787, 114
(3
), pp. 567
–578
.10.
Sepehri
, A.
, and Farhang
, K.
, 2008, “On Elastic Interaction of Nominally Flat Rough Surfaces
,” ASME J. Tribol.
0742-4787, 130
(1
), pp. 011014
.11.
Chang
, W. R.
, Etsion
, I.
, and Bogy
, D. B.
, 1988, “Static Friction Coefficient Model for Metallic Rough Surfaces
,” ASME J. Tribol.
0742-4787, 110
(1
), pp. 57
–63
.12.
Abdo
, J.
, and Farhang
, K.
, 2005, “Elastic–Plastic Contact Model for Rough Surfaces Based on Plastic Asperity Concept
,” Int. J. Non-linear Mech.
, 40
(4
), pp. 495
–506
. 0020-746213.
Komvopoulos
, K.
, and Yang
, W.
, 1997, “A Fractal Analysis of Stiction in Microelectromechanical Systems
,” ASME J. Tribol.
0742-4787, 119
(3
), pp. 391
–400
.14.
Gao
, H.
, Barber
, G. C.
, and Shillor
, M.
, 2002, “Numerical Simulation of Engagement of a Wet Clutch With Skewed Surface Roughness
,” ASME J. Tribol.
0742-4787, 124
(2
), pp. 305
–312
.15.
Gao
, H.
, and Barber
, G. C.
, 2002, “Microcontact Model for Paper-Based Wet Friction Materials
,” ASME J. Tribol.
0742-4787, 124
(2
), pp. 414
–419
.Copyright © 2009
by American Society of Mechanical Engineers
You do not currently have access to this content.