This paper describes a readily implemented simulation model that extends the Greenwood Williamson microcontact model to include skewness in the distribution of surface summit heights and the presence of a surface coating of prescribed thickness and compliance. Parametric runs were made to explore the effect of these factors on the load, area and mean real pressure at the contacting asperities for a fixed separation of the mean planes of the contacting surfaces such as occurs when the surfaces are separated by a stiff elastohydrodynamic film. It was found that the average asperity load increases with coating thickness when the coating is stiffer than the substrate and decreases when the coating is made more compliant. The opposite is true for the average asperity area of contact. Like load, the average asperity pressure increases with coating thickness when the coating is stiffer than the substrate and decreases when the coating is more compliant. For the same rms summit height the mean asperity pressure in the absence of a coating was found to be higher by a factor of 1.6 when the skewness is +1 than when it is −1. The relative effect of skewness on pressure is practically constant as coating thickness increases for the compliant coating while the absolute effect decreases. For the stiff coating the absolute effect is constant while the relative effect diminishes. [S0742-4787(00)02303-1]

1.
McCool
,
J. I.
,
1986
, “
Comparison of Models for the Contact of Rough Surfaces
,”
Wear
,
107
, pp.
37
60
.
2.
Greenwood
,
J.
, and
Williamson
,
J.
,
1966
, “
Contact of Nominally Flat Surfaces
,”
Proc. R. Soc. London, Ser. A
,
295
, pp.
300
319
.
3.
McCool
,
J. I.
,
1992
, “
Non-Gaussian Effects in Microcontact
,”
Int. J. Mach. Tools Manuf.
,
32
, pp.
115
123
.
4.
McCool, J., 1990, “Elastic Contact of Coated Rough Surfaces,” Proceedings of the Leeds-Lyon Symposium on the Mechanics of Coatings, 16, pp. 157–165.
5.
Nayak
,
P. R.
,
1971
, “
Random Process Model of Rough Surfaces
,”
ASME J. Lubr. Technol.
, Series F,
93
, pp.
398
407
.
6.
Johnson, N., and Kotz, S., 1970, Continuous Univariate Distributions-I, Wiley, New York.
7.
Law, A., and Kelton, W., 1982, Simulation Modelling and Analysis, McGraw Hill, New York.
8.
Burmister
,
D. M.
,
1945
, “
The General Theory of Stresses and Displacements in Layered Systems
,”
J. Appl. Phys.
,
16
, pp.
89
94
.
9.
Tu
,
Y.
, and
Gazis
,
D.
,
1964
, “
The Contact Problem of a Plate Pressed Between Two Spheres
,”
ASME J. Appl. Mech.
, Series E,
31
, pp.
659
666
.
10.
Gupta
,
P.
, and
Walowit
,
J.
,
1974
, “
Contact Stress Between an Elastic Cylinder and a Layered Elastic Solid
,”
ASME J. Lubr. Technol.
, Series F,
94
, pp.
250
257
.
11.
Kennedy
,
F.
, and
Ling
,
F.
,
1974
, “
Elasto-Plastic Indentation of a Layered Medium
,”
ASME J. Eng. Mater. Technol.
, Series H,
96
, pp.
97
103
.
12.
Chiu
,
Y.
, and
Hartnett
,
M.
,
1983
, “
A Numerical Solution for Layered Solid Contact Problems with Application to Bearings
,”
ASME J. Lubr. Technol.
,
105
, pp.
585
590
.
13.
El-Sherbiney
,
M.
, and
Halling
,
J.
,
1976
, “
The Hertzian Contact of Surfaces Covered With Metallic Films
,”
Wear
,
40
, pp.
325
337
.
14.
Halling
,
J.
,
1986
, “
The Tribology of Surface Coatings, Particularly Ceramics
,”
Proc. Inst. Mech. Eng.
,
200
, No.
C1
, pp.
31
40
.
15.
Chen
,
W.
, and
Engel
,
P.
,
1972
, “
Impact and Contact Stress Analysis in Multilayer Media
,”
Int. J. Solids Struct.
,
8
, pp.
1257
1281
.
16.
Chen
,
W. T.
,
1971
, “
Computation of Stresses and Displacements in Layered Media
,”
Int. J. Eng. Sci.
,
9
, pp.
775
800
.
17.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, London and New York.
18.
McCool
,
J. I.
, and
John
,
J.
,
1988
, “
Flash Temperature on the Asperity Scale and Scuffing
,”
ASME J. Tribol.
,
110
, No.
4
, pp.
659
663
.
19.
Tallian
,
T. E.
,
Chiu
,
Y. P.
,
Huttenlocher
,
D. F.
,
Kamenshine
,
J. A.
,
Sibley
,
L. B.
, and
Sindlinger
,
N. E.
,
1964
, “
Lubricant Films in Rolling Contact of Rough Surfaces
,”
ASLE Trans.
,
7
, pp.
109
126
.
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