Contributed by the Tribology Division for publication in the ASME JOURNAL OF TRIBOLOGY. Manuscript received by the Tribology Division July 27, 2000; revised manuscript received March 15, 2001. Associate Editor: G. G. Adams.

When two nominally plane and parallel surfaces are brought together gently, contact will initially occur only at a few points. As the normal load is increased the surfaces move closer together and a larger number of the taller asperities on the two surfaces come into contact. The total area of these point contacts forms a real area of contact, Ar, which, as a rule, does not exceed 5–10 percent of the nominal (geometric) area, An. Theoretical predictions and experimental measurements of Ar and the micro-displacement normal to the surface and their relationship to the external loads are necessary for an understanding of many problems related to...

1.
Abbott
,
E. J.
, and
Firestone
,
F. A.
,
1933
, “
Specifying Surface Quantity—A Method Based on Accurate Measurements and Comparisons
,”
Mech. Eng. (Am. Soc. Mech. Eng.)
,
55
, pp.
569
572
.
2.
Bo¨hm
,
H. J.
,
1992
, “
Parameters for Evaluating the Wearing Behavior of Surfaces
,”
Int. J. Mach. Tool Des. Res.
,
32
, pp.
109
113
.
3.
Ju
,
Y. Q.
, and
Zheng
,
L. Q.
,
1992
, “
A Full Numerical Solution for the Elastic Contact of 3-Dimensional Real Rough Surfaces
,”
Wear
,
157
, No.
1
, pp.
151
161
.
4.
Winn
,
A. J.
,
Dowson
,
D.
, and
Bell
,
J. C.
,
1995
, “
The Lubricated Wear of Ceramics 1. The Wear and Friction of Silicon Nitride, Alumina and Steel in the Presence of a Mineral Oil Based Lubricant
,”
Tribol. Int.
,
28
, No.
6
, pp.
383
393
.
5.
Leng
,
Y.
,
Yang
,
G.
,
Yan
,
H.
, and
Zheng
,
L.
,
1996
, “
The Characteristics of Elastically Contacting Ideal Rough Surfaces
,”
ASME J. Tribol.
,
118
, No.
1
, pp.
90
97
.
6.
Varadi
,
K.
,
Neder
,
Z.
, and
Friedrich
,
K.
,
1996
, “
Evaluation of the Real Contact Areas, Pressure Distributions and Contact Temperatures During Sliding Contact Between Real Metal Surfaces
,”
Wear
,
200
, No.
1–2
, pp.
55
62
.
7.
Quon
,
R. A.
,
Knarr
,
R. F.
, and
Vanderlick
,
T. K.
,
1999
, “
Measurement of the Deformation and Adhesion of Rough Solids in Contact
,”
J. Phys. Chem. B
,
103
, No.
25
, pp.
5320
5327
.
8.
Ravikiran
,
A.
, and
Lim
,
S. C.
,
1999
, “
A Better Approach to Wear-Rate Representation in Non-Conformal Contacts
,”
Wear
,
229
, No.
2
, pp.
1309
1314
.
9.
So
,
H.
, and
Liu
,
D. C.
,
2000
, “
A Model for Elastic-Plastic Contact of Ellipsoids With Work-Hardening Effect
,”
J. Chin. Inst. Eng.
,
23
, No.
1
, pp.
1
8
.
10.
Aramaki
,
H.
,
Cheng
,
H. S.
, and
Chung
,
Y.-W.
,
1993
, “
The Contact Between Rough Surfaces With Longitudinal Texture: Part I—Average Contact Pressure and Real Contact Area
,”
ASME J. Tribol.
,
115
, pp.
419
424
.
11.
Kragelski, I. V., 1965, Friction and Wear, Butterworth, London, U.K., pp. 44–49.
12.
Jones
,
M. H.
,
Howells
,
R. I. L.
, and
Probert
,
S. D.
,
1968
, “
Solids in Static Contact—A Review of (a) Methods of Obtaining the Real Areas of Contact, (b) The Modes of Asperity Deformation, and (c) The Thermal and Electrical Resistances, Between Solids in Contact
,”
Wear
,
12
, pp.
225
240
.
13.
Radchik
,
V. A.
,
1986
, “
Some Remarks to Calculations of Elastic Contact of Rough Flat Surfaces
,”
Izvestiya VUZ’ov USSR Mashinostroenie
(in Russian),
5
, pp.
7
9
.
14.
Shtaerman, I. Y., 1949, Contact Problems of the Theory of Elasticity, Gostekhizdat, Moscow (in Russian).
15.
Timoshenko, S., and Goddier, I. V., 1951, Theory of Elasticity, McGraw-Hill Book Company, New York.
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