The finite element model with the implementation of a robust cyclic plasticity theory was used to simulate the elastic-plastic stresses for the partial slip (stick-slip) line rolling contact. Detailed rolling contact stresses and strains were obtained for up to 40 rolling passes. The partial slip condition greatly affects the residual stress in the rolling direction and the residual shear strain within a thin layer of material near the contact surface. The residual stress in the axial direction was not significantly influenced by the partial slip condition. An increase in friction coefficient drives the location of maximum shear strain to the contact surface. In addition, a comparison was made between the finite element results and the results obtained from an approximate method.

1.
Bower
,
A. F.
, and
Johnson
,
K. L.
,
1991
, “
Plastic Flow and Shakedown of the Rail Surface in Repeated Wheel-Rail Contact
,”
Wear
,
114
, pp.
1
18
.
2.
Cannon
,
D. F.
, and
Pradier
,
H.
,
1996
, “
Rail Rolling Contact Fatigue—Research by the European Rail Research Institute
,”
Wear
,
191
, pp.
1
13
.
3.
Jiang
,
Y.
, and
Sehitoglu
,
H.
,
1996
, “
Rolling Contact Stress Analysis with the Application of a New Plasticity Model
,”
Wear
,
191
, pp.
35
44
.
4.
Merwin, J. E., and Johnson, K. L., 1963, “An Analysis of Plastic Deformation in Rolling Contact,” Proceedings, Institution of Mechanical Engineers, London, 177, pp. 676–685.
5.
McDowell, D. L., and Moyar, G. J., 1987, “A More Realistic Model of Nonlinear Material Response: Application to Elastic-Plastic Rolling Contact,” Proceedings Second International Symposium Contact Mechanics and Wear of Rail/Wheel Systems, University of Waterloo Press, pp. 100–106.
6.
McDowell
,
D. L.
, and
Moyar
,
G. J.
,
1991
, “
Effects of Non-Linear Kinematic Hardening on Plastic Deformation and Residual Stresses in Rolling Line Contact
,”
Wear
,
144
, pp.
19
37
.
7.
Hearle
,
A. D.
, and
Johnson
,
K. L.
,
1987
, “
Cumulative Plastic Flow in Rolling and Sliding Line Contact
,”
ASME J. Appl. Mech.
,
54
, pp.
1
7
.
8.
Bower
,
A. F.
, and
Johnson
,
K. L.
,
1989
, “
The Influence of Strain Hardening on Cumulative Plastic Deformation in Rolling and Sliding Line Contact
,”
J. Mech. Phys. Solids
,
37
, pp.
471
493
.
9.
Yu
,
C. C.
,
Moran
,
B.
, and
Keer
,
L. M.
,
1993
, “
A Direct Analysis of Two-Dimensional Elastic-Plastic Rolling Contact
,”
ASME J. Tribol.
,
115
, pp.
227
236
.
10.
Yu
,
C. C.
,
Moran
,
B.
, and
Keer
,
L. M.
,
1995
, “
A Direct Analysis of Three-Dimensional Elastic-Plastic Rolling Contact
,”
ASME J. Tribol.
,
117
, pp.
234
243
.
11.
Yu
,
C. C.
,
Keer
,
L. M.
, and
Steele
,
R. K.
,
1997
, “
Three-Dimensional Residual Stress Effects on the Fatigue Crack Initiation in Rails
,”
ASME J. Tribol.
,
119
, pp.
660
666
.
12.
Jiang
,
Y.
, and
Sehitoglu
,
H.
,
1994
, “
An Analytical Approach to Elastic-Plastic Stress Analysis of Rolling Contact
,”
ASME J. Tribol.
,
116
, pp.
577
587
.
13.
Jiang
,
Y.
, and
Sehitoglu
,
H.
,
1999
, “
A Model for Rolling Contact Failure
,”
Wear
,
224
, pp.
38
49
.
14.
Bhargava
,
V.
,
Hahn
,
G. T.
, and
Rubin
,
C. A.
,
1985
, “
An Elastic-Plastic Finite Element Model of Rolling Contact: Part I—Single Contact; Part II—Repeated Contacts
,”
ASME J. Appl. Mech.
,
52
, pp.
66
82
.
15.
Bhargarva, V., Hahn, G. T., Ham, G., Kulkarni, S., and Rubin, C. A., 1986, “Influence of Kinematic Hardening on Rolling Contact Deformation,” Proceedings 3rd International Symposium Contact Mechanics and Wear of Rail/Wheel Systems, Cambridge, U.K., pp. 133–146.
16.
Bhargava
,
V.
,
Hahn
,
G. T.
, and
Rubin
,
C. A.
,
1987
, “
Elastic-Plastic Analysis of Hardened Layers in Rims Subjected to Repeated Rolling Contacts
,”
Metall. Trans. A
,
18A
, pp.
827
833
.
17.
Bhargava
,
V.
,
Hahn
,
G. T.
, and
Rubin
,
C. A.
,
1988
, “
Analysis of Rolling Contact with Kinematic Hardening for Rail Steel Properties
,”
Wear
,
122
, pp.
267
283
.
18.
Bhargava
,
V.
,
Hahn
,
G. T.
, and
Rubin
,
C. A.
,
1990
, “
Rolling Contact Deformation, Etching Effects and Failure of High Strength Bearing Steels
,”
Metall. Trans. A
,
21
, pp.
1921
1931
.
19.
Hahn
,
G. T.
,
Bhargava
,
V.
,
Rubin
,
C. A.
,
Chen
,
Q.
, and
Kim
,
K.
,
1987
, “
Analysis of the Rolling Contact Residual Stresses and Cyclic Plastic Deformation of SAE52100 Steel Ball Bearings
,”
ASME J. Tribol.
,
109
, pp.
618
626
.
20.
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
,”
Tribol. Trans.
,
32
, pp.
311
316
.
21.
Kumar
,
A. M.
,
Hahn
,
G. T.
,
Bhargava
,
V.
, and
Rubin
,
C. A.
,
1989
, “
Elasto-Plastic Finite Element Analyses of Two-Dimensional Rolling and Sliding Contact Deformation of Bearing Steel
,”
ASME J. Tribol.
,
111
, pp.
309
314
.
22.
Kulkarni
,
S. M.
,
Rubin
,
C. A.
, and
Hahn
,
G. T.
,
1991
, “
Elasto-Plastic Coupled Temperature-Displacement Finite Element Analysis of Two-Dimensional Rolling-Sliding Contact with a Translating Heat Source
,”
ASME J. Tribol.
,
113
, pp.
93
101
.
23.
Howell
,
M.
,
Hahn
,
G. T.
,
Rubin
,
C. A.
, and
McDowell
,
D. L.
,
1995
, “
Finite Element Analysis of Rolling Contact for Non-Linear Kinematic Hardening Bearing Steel
,”
ASME J. Tribol.
,
117
, pp.
729
736
.
24.
Jiang, Y., Chang, J., and Xu, B., 2001, “Elastic-Plastic Finite Element Stress Analysis of Two-Dimensional Rolling Contact,” ASTM STP 1339, pp. 37–54.
25.
Hamilton, G. M., 1963, “Plastic Flow in Rollers Loaded above the Yield Point,” Proceedings, Institution of Mechanical Engineers, London, 177, pp. 667–675.
26.
Shima
,
M.
, and
Okada
,
K.
,
1981
, “
Measurements of Subsurface Plastic Flow in Rolling Contact
,”
Journal of JSLE
,
26
, pp.
75
80
.
27.
Hahn
,
G. T.
, and
Huang
,
Q.
,
1986
, “
Rolling Contact Deformation of 1100 Aluminum Disks
,”
Metall. Trans. A
,
17A
, pp.
1561
1572
.
28.
Johnson, K. L., 1962, “Tangential Tractions and Micro-slip in Rolling Contact,” in Rolling Contact Phenomena, J. B. Bidwell, ed., Elsevier Pub., pp. 6–25.
29.
Kalker, J. J., 1990, Three-Dimensional Elastic Bodies in Rolling Contact, Kluwer, Dordrecht.
30.
Reynolds
,
O.
,
1875
, “
On Rolling Friction
,”
Philosophy Transaction Royal Society
,
166
, pp.
243
247
.
31.
Haines, D. J., and Ollerton, E., 1963, “Contact Stress Distribution on Elliptical Contact Surfaces Subjected to Radial and Tangential Forces,” Proceedings, Institution of Mechanical Engineers, London, 177, pp. 261–265.
32.
Kalousek, J., Rosval, G., and Ghonem, H., 1983, “Lateral Creepage and Its Effect on Wear in Rail Wheel Systems,” Proceedings International Symposium On Contact Mechanics and Wear of Rail/Wheel Systems I, pp. 373–389.
33.
Carter
,
F. W.
,
1926
, “
On the Action of a Locomotive Driving Wheel
,”
Proc. R. Soc. London
,
A112
, pp.
151
157
.
34.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press
35.
Johnson, K. L., 1990, “A Graphical Approach to Shakedown in Rolling Contact,” in Applied Stress Analysis, T. H. Hyde and E. Ollerton, eds., Elsevier Applied Science, pp. 263–274.
36.
Kong
,
X.
, and
Xu
,
B.
,
1998
, “
A Boundary Element Approach of Wheel-Rail Rolling Contact
,”
Journal of China Railway Society
,
20
, pp.
71
78
.
37.
Jiang
,
Y.
, and
Sehitoglu
,
H.
,
1996
, “
Modeling of Cyclic Ratchetting Plasticity: Part I—Development of Constitutive Equations
,”
ASME J. Appl. Mech.
,
63
, pp.
720
725
.
38.
Jiang
,
Y.
, and
Sehitoglu
,
H.
,
1996
, “
Modeling of Cyclic Ratchetting Plasticity: Part II—Implement of the New Model and Comparison of Theory with Experiments
,”
ASME J. Appl. Mech.
,
63
, pp.
726
733
.
39.
Ohno
,
N.
, and
Wang
,
J. D.
,
1994
, “
Kinematic Hardening Rules for Simulation of Ratchetting Behavior
,”
Eur. J. Mech. A/Solids
,
13
, pp.
519
531
.
40.
Hibbitt, Karlsson, and Sorensen, Inc., 1997, ABAQUS/Standard User’s Manual.
41.
Tyfour
,
W. R.
,
Beynon
,
J. H.
, and
Kapoor
,
A.
,
1995
, “
The Steady State Wear Behavior of Pearlitic Rail Steel under Dry Rolling-Sliding Contact Conditions
,”
Wear
,
180
, pp.
79
89
.
42.
Ringsberg
,
J. W.
,
Loo-Morrey
,
M.
,
Josefson
,
B. L.
,
Kapoor
,
A.
, and
Beynon
,
J. H.
,
2000
, “
Prediction of Fatigue Crack Initiation for Rolling Contact Fatigue
,”
Int. J. Fatigue
,
22
, pp.
205
215
.
You do not currently have access to this content.