In this paper, a theoretical and experimental investigation is presented to study the contact behavior of the plastic contact of deterministic rough surfaces. Analyses exclude bulk deformation of the rough surface and concentrate to the contact on asperity level. Surface asperities are modeled by an array of elliptic paraboloids where the unit event of a single contact is analyzed using an elastic-plastic elliptical contact model. A new method to determine the surface topography change due to plastic deformation is presented. Results show that the theoretical model developed predicts the contact area and the deformed geometry of the rough surface very well.

1.
Bhushan
,
B.
, 1998, “
Contact Mechanics of Rough Surfaces in Tribology: Multiple Asperity Contacts
,”
Tribol. Lett.
1023-8883,
4
, pp.
1
35
.
2.
Liu
,
G.
,
Wang
,
Q. J.
, and
Lin
,
C.
, 1999, “
A Survey of Current Models for Simulating the Contact Between Rough Surfaces
,”
Tribol. Trans.
1040-2004,
42
, pp.
581
591
.
3.
Barber
,
J. R.
, and
Ciavarella
,
M.
, 2000, “
Contact Mechanics
,”
Int. J. Solids Struct.
0020-7683,
37
, pp.
29
43
.
4.
Adams
,
G. G.
, and
Nosonovsky
,
M.
, 2000, “
Contact Modeling—Forces
,”
Tribol. Int.
0301-679X,
33
, pp.
431
442
.
5.
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
.
6.
Timoshenko
,
S.
, and
Godier
,
J. N.
, 1951,
Theory of Elasticity
,
McGraw-Hill
, New York.
7.
Greenwood
,
J. A.
, and
Tripp
,
J. H.
, 1967, “
The Elastic Contact of Rough Spheres
,”
ASME J. Appl. Mech.
0021-8936,
34
, pp.
153
159
.
8.
Greenwood
,
J. A.
, and
Tripp
,
J. H.
, 1970-1971, “
The Contact of Two Nominally Flat Rough Surfaces
,”
Proc. Inst. Mech. Eng.
0020-3483,
185
, pp.
625
633
.
9.
Hisakado
,
T.
, 1974, “
Effect of Surface Roughness on Contact Between Solid Surfaces
,”
Wear
0043-1648,
28
, pp.
217
234
.
10.
Bush
,
A. W.
,
Gibson
,
R. D.
, and
Tomas
,
T. R.
, 1975, “
The Elastic Contact of a Rough Surface
,”
Wear
0043-1648,
35
, pp.
87
111
.
11.
Bush
,
A. W.
,
Gibson
,
R. D.
, and
Keogh
,
G. P.
, 1979, “
Strong Anisotropic Rough Surface
,”
ASME J. Tribol.
0742-4787,
101
, pp.
15
20
.
12.
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
.
13.
Zhao
,
Y.
,
Maietta
,
D. M.
, and
Chang
,
L.
, 2000, “
An Asperity Microcontact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow
,”
ASME J. Tribol.
0742-4787,
122
, pp.
86
93
.
14.
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
.
15.
Jackson
,
R. L.
, and
Green
,
I.
, 2005, “
A Finite Element Study of Elasto-Plastic Hemispherical Contact Against a Rigid Flat
,”
ASME J. Tribol.
0742-4787,
127
, pp.
343
354
.
16.
Horng
,
J. H.
, 1998, “
An Elliptic Elastic-Plastic Asperity Microcontact Model for Rough Surface
,”
ASME J. Tribol.
0742-4787,
120
, pp.
82
88
.
17.
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
.
18.
Majumdar
,
A.
, and
Bhushan
,
B.
, 1991, “
Fractal Model of Elastic-Plastic Contact Between Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
113
, pp.
1
11
.
19.
Webster
,
M. N.
, and
Sayles
,
R.
, 1986, “
A Numerical Model for the Elastic Frictionless Contact of Real Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
108
, pp.
314
320
.
20.
Liang
,
X.
, and
Linqing
,
Z.
, 1991, “
A Numerical Model for the Elastic Contact of Three-Dimensional Real Rough Surfaces
,”
Wear
0043-1648,
148
, pp.
91
100
.
21.
Ren
,
N.
, and
Lee
,
S. C.
, 1993, “
A Contact Simulation of Three-Dimensional Rough Surfaces Using Moving Grid Method
,”
ASME J. Tribol.
0742-4787,
115
, pp.
597
601
.
22.
Chang
,
L.
, and
Gao
,
Y.
, 1999, “
A Simple Numerical Method for Contact Analysis of Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
121
, pp.
425
432
.
23.
Cai
,
S.
, and
Bhushan
,
B.
, 2005, “
A Numerical Three-Dimensional Contact Model for Rough, Multilayered Elastic/Plastic Solid Surfaces
,”
Wear
0043-1648,
259
, pp.
1408
1423
.
24.
Abbott
,
E. J.
, and
Firestone
,
F. A.
, 1933, “
Specifying Surface Quality—A Method Based on Accurate Measurement and Comparison
,”
Mech. Eng. (Am. Soc. Mech. Eng.)
0025-6501,
55
, pp.
569
572
.
25.
Jeng
,
Y. R.
, and
Peng
,
S. R.
, 2006, “
Elastic-Plastic Contact Behavior Considering Asperity Interactions for Surfaces With Various Height Distributions
,”
ASME J. Tribol.
0742-4787,
128
, pp.
245
251
.
26.
Jamari
,
J.
, and
Schipper
,
D. J.
, 2007, “
Deformation Due to Contact Between a Rough Surface and a Smooth Ball
,”
Wear
0043-1648,
262
, pp.
138
145
.
27.
Jamari
,
J.
, 2006, “
Running-in of Rolling Contacts
,” Ph.D. thesis, University of Twente, The Netherlands.
28.
Jamari
,
J.
, and
Schipper
,
D. J.
, 2006, “
Experimental Investigation of Fully Plastic Contact of a Sphere Against a Hard Flat
,”
ASME J. Tribol.
0742-4787,
128
, pp.
230
235
.
29.
Jamari
,
J.
, and
Schipper
,
D. J.
, 2006, “
An Elastic-Plastic Contact Model of Ellipsoid Bodies
,”
Tribol. Lett.
1023-8883,
21
, pp.
262
271
.
30.
Tasan
,
Y. C.
, 2005, “
Measurement of Deformation in Rolling and Sliding Contacts
,” Ph.D. thesis, University of Twente, The Netherlands.
31.
Sloetjes
,
J. W.
,
Schipper
,
D. J.
,
Lugt
,
P. M.
, and
Tripp
,
J. H.
, 2000, “
The Determination of Changes in Surface Topography Using Image Processing Techniques
,”
Proc. of International Tribology Conference
, Nagasaki,
Japanese Society of Tribologists
,
Tokyo
, pp.
241
246
.
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