The lubrication characteristics and fatigue life are numerically analyzed under full film and mixed lubrication regimes, in which the three-dimensional sinusoidal surfaces with changeable wavelengths in x and y directions are used, the geometry changes of the contact areas are described by the various ellipticity, and the non-Newtonian flow of lubricant is described by the sinh-law rheology model. The results show that the influences of characteristic shear stress, wavelength ratio, and ellipticity on lubrication characteristics and fatigue life are remarkable. The effect of surface topography on lubrication characteristics has a close relationship with speed. Increasing the ellipticity and decreasing wavelength ratio and characteristic shear stress can prolong the fatigue life.

References

References
1.
Johnson
,
K. L.
, and
Tevaarwerk
,
J. L.
,
1977
, “
Shear Behaviour of Elastohydrodynamic Oil Films
,”
Proc. R. Soc. London, Ser. A
,
356
, pp.
215
236
.10.1098/rspa.1977.0129
2.
Ree
,
T.
, and
Eyring
,
H.
,
1955
, “
Theory of Non-Newtonian Flow: Part I-Solid Plastic System
,”
J. Appl. Phys.
,
26
, pp.
793
800
.10.1063/1.1722098
3.
Ree
,
T.
, and
Eyring
,
H.
,
1955
, “
Theory of Non-Newtonian Flow. II. Solution System of High Polymers
,”
J. Appl. Phys.
,
26
, pp.
800
809
.10.1063/1.1722099
4.
Bair
,
S.
,
2004
, “
Actual Eyring Models for Thixotropy and Shear-Thinning: Experimental Validation and Application to EHD
,”
ASME J. Tribol.
,
126
, pp.
728
732
.10.1115/1.1792693
5.
Kumar
,
P.
,
Khonsari
,
M. M.
, and
Bair
,
S.
,
2009
, “
Full EHL Simulations Using the Actual Ree-Eyring Model for Shear-Thinning Lubricants
,”
ASME J. Tribol.
,
131
, p.
011802
.10.1115/1.3002328
6.
Conry
,
T. F.
,
Johnson
,
K. L.
, and
Owen
,
S.
,
1980
, “Viscosity in the Thermal Regime of EHD Traction,” Thermal Effects in Tribology. In: Dowson, D., Taylor, C. M., Godet, M., and Berthe. D., 1979, Proceedings of the 6th Leeds-Lyon Symposium on Tribology. London: Mech. Engr. Pub. Ltd. pp. 219–227.
7.
Evans
,
C. R.
, and
Johnson
,
K. L.
,
1986
, “
The Rheological Properties of Elastohydrodynamic Lubricants
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
200
, pp.
303
312
.10.1243/PIME_PROC_1986_200_134_02
8.
Bou-Chakra
,
E.
,
Cayer-Barrioz
,
J.
,
Mazuyer
,
D.
,
Jarnias
,
F.
, and
Bouffe
,
A.
,
2010
, “
A Non-Newtonian Model Based on Ree–Eyring Theory and Surface Effect to Predict Friction in Elastohydrodynamic Lubrication
,”
Tribol. Int.
,
43
, pp.
1674
1682
.10.1016/j.triboint.2010.03.016
9.
Zhu
,
D.
, and
Hu
,
Y. Z.
,
2001
, “
A Computer Program Package for the Prediction of EHL and Mixed Lubrication Characteristics, Friction, Subsurface Stresses and Flash Temperatures Based on Measured 3-D Surface Roughness
,”
STLE Tribol. Trans.
,
44
, pp.
383
390
.10.1080/10402000108982471
10.
Ren
,
N.
,
Nanbu
,
T.
,
Yasuda
,
Y.
,
Zhu
,
D.
, and
Wang
,
Q.
,
2007
, “
Micro Textures in Concentrated-Conformal-Contact Lubrication: Effect of Distribution Patterns
,”
Tribol. Lett.
,
28
(
3
), pp.
275
285
.10.1007/s11249-007-9271-4
11.
Epstein
,
D.
,
Keer
,
L. M.
,
Wang
,
Q.
,
Cheng
,
H. S.
, and
Zhu
,
D.
,
2003
, “
Effect of Surface Topography on Contact Fatigue in Mixed Lubrication
,”
Tribol. Trans.
,
46
, pp.
506
513
.10.1080/10402000308982657
12.
Liu
,
X. L.
,
Jiang
,
M.
,
Yang
,
P. R.
, and
Kaneta
,
M.
,
2005
, “
Non-Newtonian Thermal Analyses of Point EHL Contacts Using the Eyring Model
,”
ASME J. Tribol.
,
127
, pp.
70
81
.10.1115/1.1843161
13.
Hooke
,
C. J.
,
2000
, “
The Behaviour of Low-Amplitude Surface Roughness Under Line Contacts: Non-Newtonian Fluids
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
214
, pp.
253
265
.10.1243/1350650001543151
14.
Hooke
,
C. J.
, and
Li.
,
K. Y.
,
2010
, “
Roughness in Elastohydrodynamic Contacts
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
224
, pp.
2599
2609
.10.1243/09544062JMES2363
15.
Zhu
,
D.
, and
Ai
,
X. L.
,
1997
, “
Point Contact EHL Based on Optically Measured Three-Dimensional Rough Surfaces
,”
ASME J. Tribol.
,
119
, pp.
375
384
.10.1115/1.2833498
16.
Zhu
,
D.
, and
Hu
,
Y. Z.
,
2001
, “
Effects of Rough Surface Topography and Orientation on the Characteristics of EHD and Mixed Lubrication in Both Circular and Elliptical Contacts
,”
Tribol. Trans.
,
44
(
3
), pp.
391
398
.10.1080/10402000108982472
17.
Jacod
,
B.
,
Venner
,
C. H.
, and
Lugt
,
P. M.
,
2004
, “
Influence of Longitudinal Roughness on Friction in EHL Contacts
,”
ASME J. Tribol.
126
, pp.
473
481
.10.1115/1.1705664
18.
Ren
,
N.
,
Zhu
,
D.
,
Chen
,
W.
,
Liu
,
Y. C.
, and
Wang
,
Q.
,
2009
, “
A Three-Dimensional Deterministic Model for Rough Surface Line-Contact EHL Problems
,”
ASME J. Tribol.
,
131
, p.
011501
.10.1115/1.2991291
19.
Deolalikar
,
N.
, and
Sadeghi
,
F.
,
2007
, “
Fatigue Life Reduction in Mixed Lubricated Elliptical Contacts
,”
Tribol. Lett.
,
27
(
2
), pp.
197
209
.10.1007/s11249-007-9226-9
20.
Zhu
,
D.
,
2003
, “
Elastohydrodynamic Lubrication in Extended Parameter Ranges-Part III: Ellipticity Effect
,”
STLE Tribol. Trans.
,
46
(
4
), pp.
585
591
.10.1080/10402000308982668
21.
Kaneta
,
M.
,
Yamada
,
T.
, and
Wang
,
J.
,
2008
, “
Micro-Elastohydrodynamic Lubrication of Simple Sliding Elliptical Contacts With Sinusoidal Roughness
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
222
(
3
), pp.
395
405
.10.1243/13506501JET337
22.
Liu
,
S. B.
,
Wang
,
Q.
, and
Liu
,
G.
,
2000
, “
A Versatile Method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses
,”
Wear
,
243
, pp.
101
111
.10.1016/S0043-1648(00)00427-0
23.
Hu
,
Y. Z.
, and
Zhu
,
D.
,
2000
, “
A Full Numerical Solution to Mixed Lubrication in Point Contacts
,”
ASME J. Tribol.
,
122
, pp.
1
9
.10.1115/1.555322
24.
Yang
,
P.
, and
Wen
,
S.
,
1990
, “
A Generalized Reynolds Equation for Non-Newtonian Thermal Elastohydrodynamic Lubrication
,”
ASME J. Tribol.
,
112
, pp.
631
636
.10.1115/1.2920308
25.
Wang
,
W.
,
Wang
,
S.
,
Shi
,
F.
,
Wang
,
Y.
,
Chen
,
H.
,
Wang
,
H.
, and
Hu
,
Y.
,
2007
, “
Simulations and Measurements of Sliding Friction Between Rough Surfaces in Point Contacts: From EHL to Boundary Lubrication
,”
ASME J. Tribol.
,
129
, pp.
495
501
.10.1115/1.2736432
26.
Wang
,
Z. J.
,
Wang
,
W. Z.
,
Wang
,
H.
, and
Hu
,
Y. Z.
,
2009
, “
Stress Analysis on Layered Materials in Point Elastohydrodynamic-Lubricated Contacts
,”
Tribol. Lett.
,
35
(
3
), pp.
229
244
.10.1007/s11249-009-9452-4
27.
Wang
,
S.
,
Hu
,
Y. Z.
,
Wang
,
W. Z.
, and
Wang
,
H.
,
2007
, “
Effects of Surface Roughness on Sliding Friction in Lubricated-Point Contacts: Experimental and Numerical Studies
,”
ASME J. Tribol.
,
129
, pp.
809
817
.10.1115/1.2768081
28.
Zaretsky
,
E. V.
,
1987
, “
Fatigue Criterion to System Design, Life and Reliability
,”
J. Propul. Power
,
3
(
1
), pp.
76
83
.10.2514/3.22955
29.
Martini
,
A.
,
Escoffier
,
B.
,
Wang
,
Q.
,
Liu
,
S. B.
,
Keer
,
L. M.
,
Zhu
,
D.
, and
Bujold
,
M.
,
2006
, “
Prediction of Subsurface Stress in Elastic Perfectly Plastic Rough Components
,”
Tribol. Lett.
,
23
(
3
), pp.
243
251
.10.1007/s11249-006-9062-3
30.
Liu
,
S. B.
, and
Wang
,
Q.
,
2002
, “
Studying Contact Stress Fields Caused by Surface Tractions With a Discrete Convolution and Fast Fourier Transform Algorithm
,”
ASME J. Tribol.
,
124
, pp.
36
45
.10.1115/1.1401017
31.
Epstein
,
D.
,
Yu
,
T.
,
Wang
,
Q.
,
Keer
,
L.
,
Cheng
,
H.
,
Liu
,
S.
,
Harris
,
S.
, and
Gangopadhyay
,
A.
,
2003
, “
An Efficient Method of Analyzing the Effect of Roughness on Fatigue Life in Mixed-EHL Contact
,”
Tribol. Trans.
,
46
(
2
), pp.
273
281
.10.1080/10402000308982626
32.
Li
,
S.
, and
Kahraman
,
A.
,
2011
, “
A Fatigue Model for Contacts Under Mixed Elastohydrodynamic Lubrication Condition
,”
Int. J. Fatigue.
,
33
(
3
), pp.
427
436
.10.1016/j.ijfatigue.2010.09.021
33.
Kim
,
H. J.
,
Ehret
,
P.
,
Dowson
,
D.
, and
Taylor
,
C. M.
,
2001
, “
Thermal Elastohydrodynamic Analysis of Circular Contacts Part 2: Non-Newtonian Model
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
215
(
4
), pp.
353
362
.10.1243/1350650011543592
34.
Liu
,
J.
,
1994
, “
Thermal Non-Newtonian Elastohydrodynamic Lubrication of Point Contacts
,” Ph.D. thesis,
The University of Leeds, Leeds, UK
.
35.
Hu
,
Y. Z.
,
Wang
,
H.
,
Wang
,
W. Z.
, and
Zhu
,
D.
,
2001
, “
A Computer Model of Mixed Lubrication in Point Contacts
,”
Tribol. Int.
,
34
(
1
), pp.
65
73
.10.1016/S0301-679X(00)00139-0
36.
Harris
,
T. A.
, and
Yu
,
W. K.
,
1999
. “
Lundberg-Palmgren Fatigue Theory: Considerations of Failure Stress and Stressed Volume
,”
ASME J. Tribol.
,
121
(
1
), pp.
85
89
.10.1115/1.2833815
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