Abstract

This study investigates the effects of asperity interactions on the mean surface separation and the real contact area for rough surfaces with non-Gaussian height distributions. The effects of the asperity interactions on the local deformation behavior of a given microcontact are modeled using the Saint Venant principle and Love’s formula. The non-Gaussian rough surfaces are described by the Johnson translatory system. The results indicate that asperity interactions can significantly affect the mean separation of surfaces with non-Gaussian height distributions. The findings also reveal that the contact load and the real contact area of surfaces with non-Gaussian height distributions are significantly different from those of surfaces with Gaussian height distributions. This study uncovers that skewed surfaces tend to deform more elastically, which provides underlying physics for the long-time conventional wisdom and recent experimental data [Y. R. Jeng, 1996, Tribol. Trans., 39, 354–361;Y. R. Jeng, Z. W. Lin, and S. H. Shyo, 2004, ASME J. Tribol., 126, 620–625] that running-in surfaces have better wear resistance.

1.
Greenwood
,
J. A.
, and
Williamson
,
J. B. P.
, 1966, “
Contact of Nominally Flat Surfaces
,”
Proc. R. Soc. London, Ser. A
1364-5021,
295
(
1442
), pp.
300
319
.
2.
Timoshenko
,
S.
, and
Goodier
,
J. N.
, 1951,
Theory of Elasticity
,
McGraw-Hill
,
New York
.
3.
Greenwood
,
J. A.
, and
Tripp
,
J. H.
, 1967, “
The Elastic Contact of Rough Spheres
,”
ASME J. Appl. Mech.
0021-8936,
34
, pp.
153
159
.
4.
Chang
,
W. R.
,
Etsion
,
I.
, and
Bogy
,
D. B.
, 1987, “
An Elastic-Plastic Model for the Contact of Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
109
, pp.
257
263
.
5.
Zhao
,
Y.
,
Maietta
,
D. M.
, and
Chang
,
L.
, 2000, “
An Asperity Micro-Contact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow
,”
ASME J. Tribol.
0742-4787,
107
, pp.
86
93
.
6.
Hisakado
,
T.
, 1974, “
Effects of Surface Roughness on Contact Between Solid Surfaces
,”
Wear
0043-1648,
28
, pp.
217
234
.
7.
Bush
,
A. W.
,
Gibson
,
R. D.
, and
Thomas
,
T. R.
, 1975, “
The Elastic Contact of a Rough Surface
,”
Wear
0043-1648,
35
, pp.
87
111
.
8.
Bush
,
A. W.
,
Gibson
,
R. D.
, and
Keogh
,
G. P.
, 1979, “
Strong Anisotropic Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
101
, pp.
15
20
.
9.
Jeng
,
Y. R.
, and
Wang
,
P. Y.
, 2003, “
An Elliptical Microcontact Model Considering Elastic, Elastoplastic, and Plastic Deformation
,”
ASME J. Tribol.
0742-4787,
125
, pp.
232
240
.
10.
Johnson
,
K. L.
,
Greenwood
,
J. A.
, and
Higginson
,
J. G.
, 1985, “
The Contact of Elastic Regular Wavy Surfaces
,”
Int. J. Mech. Sci.
0020-7403,
27
(
6
), pp.
383
396
.
11.
Lai
,
W. T.
, and
Cheng
,
H. S.
, 1985, “
Computer Simulation of Elastic Rough Contacts
,”
ASLE Trans.
0569-8197,
28
(
2
), pp.
172
180
.
12.
Ju
,
Y.
, and
Zheng
,
L.
, 1992, “
A Full Numerical Solution for the Elastic Contact of Three-Dimensional Real Rough Surfaces
,”
Wear
0043-1648,
157
, pp.
151
161
.
13.
Leng
,
Y.
,
Yang
,
G.
,
Yan
,
H.
, and
Zheng
,
L.
, 1996, “
The Characteristics of Elastically Contacting Ideal Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
118
, pp.
90
97
.
14.
Komvopoulos
,
K.
, and
Choi
,
D.-H.
, 1992, “
Elastic Finite Element Analysis of Multi-Asperity Contacts
,”
ASME J. Tribol.
0742-4787,
114
, pp.
823
831
.
15.
Zhao
,
Y.
, and
Chang
,
L.
, 2001, “
A Model of Asperity Interactions in Elastic-Plastic Contact of Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
123
, pp.
857
864
.
16.
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
0962-8428,
A228
, pp.
377
420
.
17.
Jeng
,
Y. R.
, 1998, “
Characterization of Surface Height Distributions
,”
J. Chin. Soc. Mech. Eng.
0257-9731,
19
(
4
), pp.
417
423
.
18.
Whitehouse
,
D. J.
, 1978, “
Beta Functions for Surface Topologie
?”
CIRP Ann.
0007-8506,
27
(
1
), pp.
491
497
.
19.
Peters
,
J.
,
Vanherck
,
P.
, and
Sastrodinoto
,
M.
, 1978, “
Assessment of Surface Topology Analysis Techniques
,”
CIRP Ann.
0007-8506,
28
(
2
), pp.
539
554
.
20.
Spedding
,
T. A.
,
King
,
T. G.
,
Watson
,
W.
, and
Stout
,
K. J.
, 1980, “
The Pearson System of Distribution: Its Application to Non-Gaussian Surface Metrology and a Simple Wear Model
,”
ASME J. Lubr. Technol.
0022-2305,
102
, pp.
495
500
.
21.
Murthy
,
T. S.
, and
Reddy
,
G. C.
, 1983, “
Different Functions and Computations for Surface Topography
,”
Wear
0043-1648,
83
, pp.
203
214
.
22.
Johnson
,
N. L.
, 1949, “
System of Frequency Curves Generated by Methods of Translation
,”
Biometrika
0006-3444,
36
, pp.
149
176
.
23.
Jeng
,
Y. R.
, and
Gao
,
C. C.
, 1998, “
Running-in Wear Simulations for Surfaces From Different Manufacturing Processes
,”
J. Chin. Soc. Mech. Eng.
0257-9731,
19
, pp.
425
431
.
24.
Jeng
,
Y. R.
, and
Gao
,
C. C.
, 2000, “
Changes of Surface Topography During Wear for Surfaces With Different Height Distributions
,”
Tribol. Trans.
1040-2004,
43
, pp.
749
757
.
25.
Jeng
,
Y. R.
,
Lin
,
Z. W.
, and
Shyu
,
S. H.
, 2004, “
Changes of Surface Topography During Running-in Process
,”
ASME J. Tribol.
0742-4787,
126
(
3
), pp.
620
625
.
26.
Jeng
,
Y. R.
,
Lin
,
Z. W.
, and
Shyu
,
D. H.
, 2002, “
A Microscopic Wear Measurement Method for General Surfaces
,”
ASME J. Tribol.
0742-4787,
124
(
4
), pp.
829
833
.
27.
Kotwal
,
C. A.
, and
Bhushan
,
B.
, 1996, “
Contact Analysis of Non-Gaussian Surfaces for Minimum Static and Kinetic Friction and Wear
,”
Tribol. Trans.
1040-2004,
39
, pp.
890
898
.
28.
McCool
,
J. I.
, 2000, “
Extending the Capability of the Greenwood Williamson Microcontact Model
,”
ASME J. Tribol.
0742-4787,
122
, pp.
496
502
.
29.
McCool
,
J. I.
, 1992, “
Non-Gaussian Effects in Microcontact
,”
Int. J. Mach. Tools Manuf.
0890-6955,
32
(
1
), pp.
115
123
.
30.
Yu
,
N.
, and
Polycarpou
,
A. A.
, 2002, “
Contact of Rough Surfaces With Asymmetric Distribution of Asperity Heights
,”
ASME J. Tribol.
0742-4787,
124
, pp.
367
376
.
31.
Nuri
,
K. A.
, and
Halling
,
J.
, 1975, “
The Normal Approach Between Rough Flat Surfaces in Contact
,”
Wear
0043-1648,
32
, pp.
81
93
.
32.
Tabor
,
D.
, 1951,
The Hardness of Metals
,
Oxford University Press
,
London
.
33.
Kapoor
,
A.
,
Williams
,
J. A.
, and
Johnson
,
K. L.
, 1994, “
The Steady State Sliding of Rough Surfaces
,”
Wear
0043-1648,
175
, pp.
81
92
.
34.
Jeng
,
Y. R.
, 1996, “
Impact of Plateaued Surfaces on Tribological Performance
,”
STLE Tribol. Trans.
1040-2004,
39
(
1
), pp.
354
361
.
You do not currently have access to this content.