A wall-slip model including limiting shear stress and the occurrence of slip at the interfaces between the lubricant and the adjacent surfaces is presented. The lubricant model is applied to EHL line contacts using smooth surfaces and isothermal conditions. The main part of the model concerns the lubricant velocities at the surfaces that are decoupled from the corresponding surface velocity giving two new variables in the EHL equations. The lubricant velocities at the surfaces are related to the corresponding shear stresses. As long as the value of the shear stress is below the limiting shear stress, the lubricant velocity is equal to the surface velocity. However, when the shear stress reaches the limiting shear stress, interfacial slip appears and the lubricant velocity differs from the surface velocity. Some initial results are presented and compared to a Newtonian analysis.

1.
Smith
,
F. W.
,
1958
, “
Lubricant Behavior in Concentrated Contact Systems—The Castor-Oil Steel System
,”
Wear
,
2
, pp.
250
263
.
2.
Smith
,
F. W.
,
1960
, “
Lubricant Behavior in Concentrated Contact Systems—Some Rheological Problems
,”
ASLE Trans.
,
3
, pp.
18
25
.
3.
Smith
,
F. W.
,
1962
, “
The Effect of Temperature in Concentrated Contact Lubrication
,”
ASLE Trans.
,
5
, pp.
142
148
.
4.
Jacobson
,
B. O.
, 1970, “On the Lubrication of Heavily Loaded Spherical Surfaces Considering Surface Deformations and Solidification of the Lubricant,” Acta Polytech. Scand., Mech. Eng. Ser., 54, Stockholm Sweden.
5.
Jacobson, B. O., 1972, “Elasto-Solidifying Lubrication of Spherical Surfaces,” ASME Paper No. 72-Lub-7.
6.
Jacobson, B. O., 1972, “On the Lubrication of Heavily Loaded Cylindrical Surfaces Considering Surface Deformations and Solidification of the Lubricant,” ASME Paper No. 72-Lub-44.
7.
Winer, W. O., and Sanborn, D. M., 1978, “Surface Temperatures and Glassy State Investigations in Tribology,” NASA CR-3031.
8.
Ho¨glund
,
E.
, and
Jacobson
,
B. O.
,
1986
, “
Experimental Investigation of the Shear Strength of Lubricants Subjected to High Pressure and Temperature
,”
ASME J. Tribol.
,
108
, pp.
571
578
.
9.
Jacobson
,
B. O.
,
1989
, “
A High Pressure-Short Time Shear Strength Analyser for Lubricants
,”
ASME J. Tribol.
,
107
, pp.
220
223
.
10.
Ho¨glund
,
E.
,
1989
, “
The Relationship Between Lubricant Shear Strength and Chemical Composition of the Base Oil
,”
Wear
,
130
, pp.
213
224
.
11.
Feng
,
R.
, and
Ramesh
,
K. T.
,
1993
, “
The Rheology of Lubricants at High Shear Rates
,”
ASME J. Tribol.
,
115
, pp.
640
649
.
12.
Ehret
,
P.
,
Dowson
,
D.
, and
Taylor
,
C. M.
,
1998
, “
On Lubricant Transport Conditions in Elastohydrodynamic Conjunctions
,”
Proc. R. Soc. London, Ser. A
,
A454
, pp.
763
787
.
13.
Dowson
,
D.
, and
Ehret
,
P.
,
1999
, “
Past, Present and Future Studies in Elastohydrodynamics
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
213
, pp.
317
333
.
14.
Kaneta
,
M.
,
Nishikawa
,
H.
, and
Kameishi
,
K.
,
1990
, “
Observation of Wall Slip in Elastohydrodynamic Lubrication
,”
ASME J. Tribol.
,
112
, pp.
447
452
.
15.
Kaneta
,
M.
,
Nishikawa
,
H.
,
Kanada
,
T.
, and
Matsuda
,
K.
,
1997
, “
Abnormal Phenomena Appearing in EHL Contacts
,”
ASME J. Tribol.
,
118
, pp.
886
892
.
16.
Kaneta, M., 1999, “For the Establishment of a New EHL Theory,” Lubrication at the Frontier, Proceedings of the 25th Leeds-Lyon Symposium on Tribology, D. Dowson et al. eds., Elsevier Science B. V., Amsterdam, pp. 25–36.
17.
Kaneta, M., and Nishikawa, H., 2000, “Formation of Dimples in Elliptical EHL Contacts,” Thinning Films and Tribological Interfaces, Proceedings of the 26th Leeds-Lyon Symposium on Tribology, D. Dowson et al., eds., Elsevier Science B. V., Amsterdam, pp. 599–607.
18.
Yang
,
P.
,
Qu
,
S.
,
Kaneta
,
M.
, and
Nishikawa
,
H.
,
2001
, “
Formation of Steady Dimples in Point TEHL Contacts
,”
ASME J. Tribol.
,
123
, pp.
42
49
.
19.
Ehret
,
P.
,
Dowson
,
D.
, and
Taylor
,
C. M.
,
1999
, “
Transient EHL Solutions With Interfacial Slip
,”
ASME J. Tribol.
,
121
, pp.
703
710
.
20.
Ehret
,
P.
, and
Bauget
,
F.
,
2001
, “
Observation of Kaneta’s Dimples in Elastohydrodynamic Lubrication Contacts
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
215
, pp.
289
300
.
21.
Mazuyer, D., Varenne, E., Lubrecht, A. A., Georges, J-M., and Constans, B., 1999, “Shearing of Adsorbed Polymer Layers in an Elastohydrodynamic Contact in Pure Sliding,” Lubrication at the Frontier, Proceedings of the 25th Leeds-Lyon Symposium on Tribology, D. Dowson et al., eds., Elsevier Science B. V., Amsterdam, pp. 493–504.
22.
Piau
,
J-M.
,
Kissi
,
N.
, and
Mezghani
,
A.
,
1995
, “
Slip flow of Polybutadiene Through Flourinated Dies
,”
J. Non-Newtonian Fluid Mech.
,
59
, pp.
11
30
.
23.
Brochard
,
F.
, and
de Gennes
,
P. G.
,
1992
, “
Shear-Dependent Slippage at a Polymer/Solid Interface
,”
Langmuir
,
8
, pp.
3033
3037
.
24.
Lau
,
H. C.
, and
Schowalter
,
W. R.
,
1986
, “
A Model for Adhesive Failure of Viscoelastic Fluids During Flow
,”
J. Rheol.
,
30
, pp.
193
206
.
25.
Hill
,
D. A.
,
1998
, “
Wall-Slip in Polymer Melts: A Pseudo-Chemical ModelA Model
,”
J. Rheol.
,
42
, pp.
581
601
.
26.
Jacobson, B. O., and Hamrock, B. J., 1983, “Non-Newtonian Fluid Model Incorporated Into Elastohydrodynamic Lubrication of Rectangular Contacts,” NASA TM 83318 1983.
27.
Dowson, D., and Higginson, G. R., 1966, Elastohydrodynamic Lubrication, The Fundamentals of Roller and Gear Lubrication, Pergamon Press, Oxford, Great Britain.
28.
Roelands, C. J. A., 1966, “Correlation Aspects of the Viscosity-Temperature-Pressure Relationship of Lubricating Oils,” Ph.D. thesis, Technical University Delft, Delft, The Netherlands.
29.
Bair
,
S.
, and
Winer
,
W. O.
,
1979
, “
A Rheological Model for Elastohydrodynamic Contacts Based on Primary Laboratory Data
,”
ASME J. Lubr. Technol.
,
101
, pp.
258
265
.
30.
Gecim
,
B.
, and
Winer
,
W. O.
,
1980
, “
Lubricant Limiting Shear Stress Effect on EHD Film Thickness
,”
ASME J. Lubr. Technol.
,
102
, pp.
213
221
.
31.
Lee
,
R.-T.
, and
Hamrock
,
B. J.
,
1990
, “
A Circular Non-Newtonian Fluid Model: Part I—Used in Elastohydrodynamic Lubrication
,”
ASME J. Tribol.
,
112
, pp.
486
496
.
32.
Hsiao
,
H-S. S.
, and
Hamrock
,
B. J.
,
1992
, “
A Complete Solution for Thermal-Elastohydrodynamic Lubrication of Line Contact Using Circular Non-Newtonian Fluid Model
,”
ASME J. Tribol.
,
114
, pp.
540
552
.
33.
Evans
,
C. R.
, and
Johnson
,
K. L.
,
1986
, “
The Rheological Properties of Elastohydrodynamic Lubricants
,”
Proc. Instn. Mech. Engrs., Part C5
,
200
, pp.
303
312
.
34.
Schipper
,
D. J.
,
Vroepop
,
P. H.
,
de Gee
,
A. W. J.
, and
Bosma
,
R.
,
1990
, “
Micro-EHL in Lubricated Contacts
,”
ASME J. Tribol.
,
112
, pp.
392
397
.
35.
Bair
,
S.
, and
Winer
,
W. O.
,
1992
, “
The High Pressure High Shear Stress Rheology of Liquid Lubricants
,”
ASME J. Tribol.
,
114
, pp.
1
13
.
36.
Kato
,
K.
,
Iwasaki
,
T.
,
Kato
,
M.
, and
Inoue
,
K.
,
1993
, “
Evaluation of Limiting Shear Stress of Lubricants by Roller Test
,”
JSME Int. J., Ser. C
,
36
(
4
), pp.
512
522
.
37.
Kato, K., Kato, M., Inoue, K, and Hata, H., 1996, “Evaluation of Limiting Shear Stress of Lubricants for Design of Traction Drives,” ASME Proceedings of the 7th International Power Transmission and Gearing Conference, ASME, New York, pp. 113–118.
38.
O¨stensen
,
J. O.
,
Wikstro¨m
,
V.
, and
Ho¨glund
,
E.
, 1993, “Interaction Effects Between Temperature, Pressure and Type of Base Oil on Lubricant Shear Strength Coefficient,” Tribologia Finnish Journal of Tribology, 11(4), pp. 123–132.
39.
Wikstro¨m
,
V.
, and
Ho¨glund
,
E.
,
1994
, “
Investigation of Parameter Affecting the Limiting Shear Stress-Pressure Coefficient: A New Model Incorporating Temperature
,”
ASME J. Tribol.
,
116
, pp.
612
620
.
40.
Venner, C. H., and Lubrecht, A. A., 2000, “Multilevel Methods in Lubrication,” Tribology Series 37 (Editor, Dowson, D.), Elsevier Science B. V., Amsterdam, The Netherlands, ISBN 0 444 505 032.
41.
Venner, C. H., 1991, “Multilevel Solution of the EHL Line and Point Contact Problems,” Ph.D. thesis, University of Twente, Enschede, The Netherlands, ISBN 90-9003974-0.
42.
Ivonen
,
H. T.
, and
Hamrock
,
B. J.
,
1991
, “
A Non-Newtonian Fluid Model for Elastohydrodynamic Lubrication of Rectangular Contacts
,”
Wear
,
143
, pp.
297
305
.
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