The collision process of a pair of asperities on two opposing surfaces is modeled in frictionless sliding motion with an analytically traceable approach. Equations of a sufficiently general representation are derived for the contact force, the load-carrying capacity, and the motion resistance of the asperity collision. A system model of the contact of two nominally flat metallic surfaces is subsequently developed incorporating the effects of asperity microcontact collisions. Results of a general nature are presented of the load capacity and motion resistance of the contact system in sliding motion. The model and the results may provide a first-order approximation of the effects of the asperity collisions in a sliding contact system.
Issue Section:
Contact Mechanics
1.
Faulkner
, A.
, and Arnell
, R. D.
, 2000, “Development of a Finite Element Model to Simulate the Sliding Interaction Between Two, Three-Dimensional, Elastoplastic Hemispherical Asperities
,” Wear
0043-1648, 242
, pp. 114
–122
.2.
Boucly
, V.
, Nelias
, D.
, and Green
, I.
, 2007, “Modeling of the Rolling and Sliding Contact Between Two Asperities
,” ASME J. Tribol.
0742-4787, 129
, pp. 235
–245
.3.
Jackson
, R. L.
, Duvvuru
, R. S.
, Meghani
, H.
, and Mahajan
, M.
, 2007, “An Analysis of Elasto-Plastic Sliding Spherical Asperity Interaction
,” Wear
0043-1648, 262
, pp. 210
–219
.4.
Kogut
, L.
, and Etsion
, I.
, 2002, “Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat
,” ASME J. Appl. Mech.
0021-8936, 69
, pp. 657
–662
.5.
Jackson
, R. L.
, and Green
, I.
, 2005, “A Finite Element Study of Elasto-Plastic Hemispherical Contact
,” ASME J. Tribol.
0742-4787, 127
, pp. 343
–354
.6.
Johnson
, K. L.
, 1985, Contact Mechanics
, Cambridge University Press
, Cambridge
.7.
Greenwood
, J. A.
, and Williamson
, J. B. P.
, 1966, “Contact of Nominally Flat Surfaces
,” Proc. R. Soc. London, Ser. A
1364-5021, 295
, pp. 300
–319
.8.
Zhao
, Y.
, Maietta
, D.
, and Chang
, L.
, 2000, “An Asperity Micro-Contact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow
,” ASME J. Tribol.
0742-4787, 122
, pp. 86
–93
.9.
Chang
, L.
, and Zhang
, H.
, 2006, “A Mathematical Model for Frictional Elastic-Plastic Sphere-on-Flat Contacts at Sliding Incipient
,” ASME J. Appl. Mech.
0021-8936, 74
, pp. 100
–106
.10.
Nayak
, P. R.
, 1971, “Random Process Model of Rough Surface
,” ASME J. Lubr. Technol.
0022-2305, 93
, pp. 398
–407
.11.
McCool
, J. I.
, 1986, “Comparison of Models for the Contact of Rough Surfaces
,” Wear
0043-1648, 107
, pp. 37
–60
.12.
Greenwood
, J. A.
, 2006, “A Simplified Elliptic Model of Rough Surface Contact
,” Wear
0043-1648, 261
, pp. 191
–200
.13.
Blencoe
, K. A.
, and Williams
, J. A.
, 1997, “Friction of Sliding Surfaces Carrying Boundary Films
,” Wear
0043-1648, 203–204
, pp. 722
–729
.14.
Zhang
, H.
, Chang
, L.
, Webster
, M. N.
, and Jackson
, A.
, 2003, “Effects of Friction on the Contact and Deformation Behavior in Sliding Asperity Contacts
,” Tribol. Trans.
1040-2004, 46
, pp. 514
–521
.Copyright © 2008
by American Society of Mechanical Engineers
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