Using modern EHL programs it is relatively simple to determine the pressures and clearances in rough EHL contacts. The pressures may then be used to calculate the subsurface stresses in the two contacting components. However, the results depend on the assumptions made about the fluid’s rheology. While it is possible to measure the clearances using interferometric techniques, measurement of either the pressures or stresses is extremely difficult. However it is these, rather than the clearances, that determine the life of the contact. In previous papers the authors have described how the inverse method may be used to validate the stress predictions for contacts with transverse roughness. This type of contact has fluid flow in only one plane and it remained necessary to check the results for more general rough surfaces where the flow is three-dimensional. Accordingly, the inverse method is extended, in this paper, to a situation where out-of-plane flow is significant. The paper describes the approach and presents some preliminary results for rolling contacts.

1.
Liu
,
J. Y.
,
Tallian
,
T. E.
, and
McCool
,
J. I.
, 1975, “
Dependence of Bearing Fatigue Life on Film Thickness to Roughness Ratio
,”
Water Int.
0250-8060,
7
(
2
), pp.
144
152
.
2.
Venner
,
C. H.
, 1991, “
Multi-level Solution of the Elastohydrodynamic Line and Point Contact Problems
,” Proefschrift, Universiteit Twente, Netherlands.
3.
Kaneta
,
M.
, and
Cameron
,
A.
, 1980, “
Effects of Asperities in Elastohydrodynamic Lubrication
,”
ASME J. Lubr. Technol.
0022-2305,
102
(
3
), pp.
374
379
.
4.
Guangteng
,
G.
,
Cann
,
P. M.
,
Olver
,
A. V.
, and
Spikes
,
H. A.
, 1998, “
Mapping Surface Features in the Thin Film Lubrication Regime
,”
Proceedings of the 25th Leeds-Lyon Symposium on Tribology, Lubrication at the Frontier
,
D.
Dowson
et al.
, eds.,
Tribology Series
, Vol.
36
,
Elsevier
, Amsterdam, pp.
175
183
.
5.
Hooke
,
C. J.
, and
Li
,
K. Y.
, 2000, “
An Experimental Study of the Relationship between Surface Roughness and Stress in EHL Eontacts
,”
Proceedings of the 26th Leeds-Lyon Symposium on Tribology, Thinning Films and Tribological Interfaces
,
D.
Dowson
et al.
, eds.,
Tribology Series
, Vol.
38
,
Elsevier
, Amsterdam, pp.
735
746
.
6.
Li
,
K. Y.
, and
Hooke
,
C. J.
, 2001, “
A Study of the Relationship between Single Feature Transverse Roughness and Stress in EHL Contacts
,”
Proc. Int Tribology Conference, Nagasaki
,
Jap. Soc of Trib
.
7.
Li
,
K. Y.
, and
Hooke
,
C. J.
, 2002, “
The Effect of Transverse Roughness on the Pressures and Stresses in EHL Line Contacts
,”
Proceedings of the 28th Leeds-Lyon Symposium on Tribology, Boundary and Mixed Lubrication
,
D.
Dowson
et al.
, eds.,
Tribology Series
, Vol.
40
,
Elsevier
, Amsterdam, pp.
427
434
.
8.
Hooke
,
C. J.
, and
Li
,
K. Y.
, 2002, “
An Inverse Approach to the Validation of Pressure Predictions in Rough Elastohydrodynamic Contacts
,”
ASME J. Tribol.
0742-4787,
124
(
1
), pp.
103
108
.
9.
Li
,
K. Y.
, and
Hooke
,
C. J.
, 2002, “
Use of the Inverse Approach to Investigate the Stresses in Rough Elastohydrodynamic Contacts
,”
ASME J. Tribol.
0742-4787,
124
(
1
), pp.
109
113
.
10.
Hooke
,
C. J.
, and
Li
,
K. Y.
, 2003, “
Use of the Inverse Method to Check the Stress Predictions in Rough Elastohydrodynamic Contacts Lubricated With a Non-Newtonian Fluid for a Range of Asperity Geometries
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062,
217
(
8
), pp.
935
944
.
11.
Johnson
,
K. L.
, 1985,
Contact Mechanics
,
Cambridge University Press
, Cambridge, Chap. 13.
12.
Dowson
,
D.
,
Higginson
,
G. R.
, and
Whitaker
,
A. V.
, 1962, “
Elasto-hydrodynamic Lubrication—A Survey of Isothermal Solutions
,”
J. Mech. Eng. Sci.
0022-2542,
4
(
2
), pp.
121
126
.
13.
Dowson
,
D.
, and
Higginson
,
G. R.
, 1966,
Elasto-hydrodynamic Lubrication
,
Pergamon
, Oxford, Chap. 7.
14.
Yasutomi
,
S.
,
Bair
,
S.
, and
Winer
,
W. O.
, 1984, “
An Application of a Free Volume Model to Lubrication Rheology 1—Dependence of Viscosity on Temperature and Pressure
,”
ASME J. Tribol.
0742-4787,
106
(
2
), pp.
291
304
.
15.
Bair
,
S.
, and
Winer
,
W. O.
, 2000, “
The Pressure Viscosity Coefficient at Hertz Pressure and its Relation to Concentrated Contact Traction
,”
Proceedings of the 26th Leeds-Lyon Symposium on Tribology, Thinning Films and Tribological Interfaces
,
D.
Dowson
et al.
, eds.,
Tribology Series
, Vol.
38
,
Elsevier
, Amsterdam, pp.
433
443
.
16.
Bracewell
,
R. N.
, 1978,
The Fourier Transform and its Applications
, 2nd ed.,
McGraw-Hill
, Kogakusha, Tokyo, Chap. 18.
17.
Lur’e
,
A. I.
, 1964,
Three-Dimensional Problems of the Theory of Elasticity
,
Interscience
, New York, Chap. 1.
18.
Love
,
A. E. H.
, 1944,
A Treatise on the Mathematical Theory of Elasticity
, 4th ed.,
Dover
, New York, Chap. 5.
19.
Symonds
,
P. S.
, 1951, “
Shakedown in Continuous Media
,”
ASME J. Appl. Mech.
0021-8936,
18
(
3
), pp.
85
89
.
20.
Melan
,
E.
, 1938, “
Der Spannungszustand eines ‘Hencky-Mises’schen’ Kontinuums bei veraenderlicher Belastung
,”
Sitzungsber. Akad. Wiss. Wien, Math.-Naturwiss. Kl., Abt. 2A
0376-2629,
147
(
1
), pp.
73
87
.
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