This paper presents a micro-contact model incorporating asperity interactions in elastic-plastic contact of rough surfaces. The effect of the asperity interactions on the local deformation behavior of a given micro-contact is first modeled based on the Saint-Venant’s Principle and Love’s Formula. The local contact interference is related in closed form to the local contact load, the global mean pressure and material parameters. This micro-contact model equation is then integrated into the elastic-plastic contact model developed in Zhao et al. (2000) to allow the asperity interactions and plastic deformation to be considered simultaneously. The effects of the asperity interactions on the mean surface separation, the real area of contact and the redistribution of the contact load among contacting asperities of different heights are studied. The results show that the asperity interactions can significantly affect the mean surface separation and micro-contact load redistribution. The results also reveal that the effect of asperity interactions can be largely cancelled out by the effect of asperity plastic deformation.

1.
Greenwood
,
J. A.
, and
Williamson
,
J. B. P.
,
1966
, “
Contact of Nominally Flat Surfaces
,”
Proc. R. Soc. London, Ser. A
,
A295
, pp.
300
319
.
2.
Greenwood
,
J. A.
, and
Tripp
,
J. H.
,
1967
, “
The Elastic Contact of Rough Spheres
,”
ASME J. Appl. Mech.
,
34
, pp.
153
159
.
3.
Whitehouse
,
D. J.
, and
Archard
,
J. F.
,
1970
, “
The Properties of Ranom Surfaces of Significance in Their Contact
,”
Proc. R. Soc. London, Ser. A
,
316
, pp.
97
121
.
4.
Hisakado
,
T.
,
1974
, “
Effects of Surface Roughness on Contact between Solid Surfaces
,”
Wear
,
28
, pp.
217
234
.
5.
Bush
,
A. W.
,
Gibson
,
R. D.
, and
Thomas
,
T. R.
,
1975
, “
The Elastic Contact of a Rough Surface
,”
Wear
,
35
, pp.
87
111
.
6.
Bush
,
A. W.
,
Gibson
,
R. D.
, and
Keogh
,
G. P.
,
1979
, “
Strong Anisotropic Rough Surface
,”
ASME J. Tribol.
,
101
, pp.
15
20
.
7.
Chang
,
W. R.
,
Etsion
,
I.
, and
Bogy
,
D. B.
,
1987
, “
An Elastic-Plastic Model for the Contact of Rough Surfaces
,”
ASME J. Tribol.
,
101
, pp.
257
263
.
8.
Horng, Jeng Haur, “An Elliptic Elastic-Plastic Asperity Microcontact Model for Rough Surfaces,” ASME J. Tribol., 120, pp. 82–88.
9.
Yongwu Zhao
,
D.
,
Maietta
,
M.
, and
Chang
,
L.
,
2000
, “
An Asperity Micro-Contact Model Incorporating the Transion from Elastic Deformation to Fully Plastic Flow
,”
ASME J. Tribol.
,
107
, pp.
86
93
.
10.
Johnson
,
K. L.
,
Greenwood
,
J. A.
, and
Higginson
,
J. G.
,
1985
, “
The Contact of Elastic Regular Wavy Surfaces
,”
Int. J. Mech. Sci.
,
27
, No.
6
, pp.
383
396
.
11.
Vergne
,
Ph.
,
Villechaise
,
B.
, and
Berthe
,
D.
,
1985
, “
Elastic Behavior of Multiple Contacts: Asperity Interaction
,”
ASME J. Tribol.
,
107
, pp.
224
228
.
12.
Berthe
,
D.
, and
Vergne
,
Ph.
,
1987
, “
An Elastic Approach to Rough Contact with Asperity Interactions
,”
Wear
,
117
, pp.
211
222
.
13.
Lai
,
W. T.
, and
Cheng
,
H. S.
,
1985
, “
Computer Simulation of Elastic Rough Contacts
,”
ASLE Trans.
,
28
, No.
2
, pp.
172
180
.
14.
Ju
,
Yongqing
, and
Linqing
,
Zheng
,
1992
, “
A Full Numerical Solution for the Elastic Contact of Three-Dimensional Real Rough Surfaces
,”
Wear
,
157
, pp.
151
161
.
15.
Yongsheng
,
Leng
et al.
,
1996
, “
The Characteristics of Elastically Contacting Ideal Rough Surfaces
,”
ASME J. Tribol.
,
118
, pp.
90
97
.
16.
Goryacheva
,
I. G.
, and
Dobychin
,
M. N.
,
1991
, “
Multiple Contact Model in the problems of Tribomechanics
,”
Tribol. Int.
,
24
, No.
1
, pp.
29
35
.
17.
Lee
,
S. C.
, and
Cheng
,
H. S.
,
1992
, “
On the Relation of Load to Average Gap in the Contact between Surface with Longitudinal Roughness
,”
STLE Tribol. Trans.
,
35
, No.
3
, pp.
523
529
.
18.
Lee, Si. C., and Ning, Ren, “Behavior of Elastic-Plastic Rough Surface Contacts as Affected by Surface Topography, Load, and Material Hardness,” J. Vibr. Acoust., 39, No. 1, pp. 67–74.
19.
Komvopoulos
,
K.
, and
Choi
,
D.-H.
,
1992
, “
Elastic Finite Element Analysis of Multi-Asperity Contacts
,”
ASME J. Tribol.
,
114
, pp.
823
831
.
20.
Kucharski
,
S.
,
Klimszak
,
A.
,
Polijaniuk
,
A.
, and
Kaczmarek
,
J.
,
1994
, “
Finite-Element Model for the Contact of Rough Surfaces
,”
Wear
,
177
, pp.
1
13
.
21.
Love
,
A. E. H.
,
1929
, “
Stress Produced in a Semi-Infinite Solid by Pressure on Part of the Boundary
,”
Philos. Trans. R. Soc. London, Ser. A
,
A228
, p.
337
337
.
22.
Hendricks
,
C. P.
, and
Visscher
,
M.
,
1995
, “
Accurate Real Area of Contact Measurements on Polyurethane
,”
ASME J. Tribol.
,
117
, pp.
607
611
.
23.
McCool
,
J. I.
,
1986
, “
Predicting Microfracture in Ceramics Via a Microcontact Model
,”
ASME J. Tribol.
,
108
, pp.
380
386
.
24.
Nuri
,
K. A.
, and
Halling
,
J.
,
1975
, “
The Normal Approach Between Rough Flat Surfaces in Contact
,”
Wear
,
32
, pp.
81
93
.
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