Pressure distributions due to surface roughness in contact induce high stresses just beneath the surface. These stresses can bring on crack initiation and micro-pitting. A purely elastic contact model to account for these effects is restrictive because stress fields often exceed the yield strength of the material. Plastic flow occurs and modifies the surface shape and material properties (work hardening). This paper presents a numerical model for elastoplastic rough contact. It allows the determination of real pressures and permanent surface displacements (flattening of asperities) as well as residual stress and plastic strains useful in fatigue analysis). The material is assumed to obey the Von-Mises yield criterion with linear kinematic hardening. Real surface profiles obtained from a measurement can be considered. In addition, simplified methods have been used to treat cyclic loading. Thus the ability of a rough surface to reach an elastic shakedown state can be investigated, even for a three-dimensional contact found, for instance, in roller bearings.

1.
Archard, J. F., Hunt, R. T., and Onions, R. A., 1975, “Stylus Profilometry and the Analysis of the Contact of Rough Surfaces,” The Mechanics of the Contact Between Deformable Bodies, Delft University Press, pp. 282–303.
2.
Bailey
D. M.
, and
Sayles
R. S.
,
1991
, “
Effect of Roughness and Sliding Friction on Contact Stresses
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
113
, pp.
729
738
.
3.
Brebbia, C. A., and Telles, J. F. C., and Wrobel, L. C., 1984, Boundary Element Techniques, Springer-Verlag, Berlin, 466 pp.
4.
Chang
W. R.
,
Etsion
I.
, and
Bogy
D. B.
,
1987
, “
An Elastic-Plastic Model for the Contact of Rough Surfaces
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
119
, pp.
257
263
.
5.
Greenwood
J. A.
, and
Williamson
J. B. P.
,
1966
, “
Contact of Nominally Flat Surfaces
,”
Proc. Roy. Soc., London
, Vol.
295
, pp.
300
319
.
6.
Hahn, G. T., and Rubin, C. A., 1991, “Elastoplastic Analysis of Repeated Rolling and Sliding Contact,” Advances in Engineering Tribology, STLE SP-31, pp. 55–70.
7.
Ham
G. L.
,
Hahn
G. T.
,
Rubin
C. A.
, and
Bhargava
V.
,
1989
, “
Finite Element Analysis of the Influence of Kinematic Hardening in Two-Dimensional, Repeated, Rolling-Sliding Contact
,”
Trans. STLE
, Vol.
32
, pp.
311
316
.
8.
Inglebert
G.
,
Frelat
J.
, and
Proix
J. M.
,
1985
, “
Structures Under Cyclic Loading
,”
Arch. Mech.
, Vol.
37
, pp.
365
382
.
9.
Inglebert
G.
, and
Frelat
J.
,
1989
, “
Quick Analysis of Inelastic Structures Using a Simplified Method
,”
Nuclear Engineering and Design
, Vol.
116
, pp.
281
291
.
10.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, 417 p.
11.
Johnson, K. L., 1987, “Plastic Flow, Residual Stress and Shakedown in Rolling Contact,” Contact Mechanics and Wear of Rail/Wheel Systems II, University of Waterloo Press, pp. 83–98.
12.
Johnson
K. L.
, and
Shercliff
H. R.
,
1992
, “
Shakedown of 2-Dimensional Asperities in Sliding Contact
,”
International Journal of Mechanical Science
, Vol.
34
, pp.
375
394
.
13.
Kalker, J. J., 1990, Three-Dimensional Elastic Bodies in Rolling Contact, Kluwer Academic Publishers, Dordrecht, 314 pp.
14.
Kapoor, A., and Johnson, K. L., 1993, “Steady State Topography of Surfaces in Repeated Boundary Lubricated Sliding,” Proc. 19th Leeds-Lyon Symposium on Tribology, pp. 81–90.
15.
Komvopoulos
K.
, and
Choi
D. H.
,
1992
, “
Elastic Finite Element Analysis of Multi-Asperity Contacts
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
114
, pp.
823
831
.
16.
Seabra
J.
, and
Berthe
D.
,
1987
, “
Influence of Surface Waviness and Roughness on the Normal Pressure Distribution in the Hertzian Contact
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
109
, pp.
462
470
.
17.
Telles, J. F. C., and Brebbia, C. A., 1981, “New Developments in Elastoplastic Analysis,” Boundary Element Methods, Springer-Verlag, pp. 350–370.
18.
Webster
M. N.
, and
Sayles
R. S.
,
1986
, “
A Numerical Model for the Elastic Frictonless Contact of Real Rough Surfaces
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
108
, pp.
314
320
.
19.
Yonqing
J.
, and
Linqing
Z.
,
1992
, “
A Full Numerical Solution for the Elastic Contact of Three Dimensional Real Rough Surfaces
,”
Wear
, Vol.
157
, pp.
151
161
.
20.
Zarka
J.
,
Engel
J. J.
, and
Ingelbert
G.
,
1980
, “
On a Simplified Inelastic Analysis of Structures
,”
Nuclear Engineering and Design
, Vol.
57
, pp.
333
368
.
This content is only available via PDF.
You do not currently have access to this content.