Real fretting fatigue cycles often involve complex loading where the fretting force may vary with a different phase or frequency to the other loads on the components. Analysis of the contact tractions in such cases can be difficult. Here we present a quadratic programming technique which enables the shear tractions to be determined in a relatively straightforward manner. A number of sample load histories are investigated and it is shown that the shear traction cycle rapidly shakes down to a steady state. Further, the results are relatively insensitive to the manner in which loading is commenced.

1.
Fellows
L. J.
,
Nowell
D.
, and
Hills
D. A.
,
1995
, “
Contact Stresses in a Moderately Thin Strip (with Particular Reference to Fretting Fatigue Experiments)
,”
Wear
, Vol.
185
, pp.
235
238
.
2.
Gill, P. E., Murray, W., and Wright, M. H., 1981, Practical Optimization, Academic Press, London.
3.
Hills, D. A., Nowell, D., and Sackfield, A., 1993, Mechanics of Elastic Contacts, Butterworth-Heinemann, Oxford.
4.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press. Cambridge.
5.
Kalker
J. J.
,
1971
, “
A Minimum Principle for the Law of Dry Friction with Application to Elastic Cylinders in Rolling Contact (Part 1)
,”
ASME Journal of Applied Mechanics
, Vol.
38
, pp.
875
880
.
6.
Mindlin
R. D.
,
1949
, “
Compliance of Elastic Bodies in Contact
,”
ASME Journal of Applied Mechanics
, Vol.
16
, pp.
259
268
.
7.
Nowell
D.
, and
Hills
D. A.
,
1987
, “
Mechanics of fretting fatigue Tests
,”
Int. Jnl. Mech. Sci.
, Vol.
29
, No.
5
, pp.
355
365
.
8.
Szolwinski, M. P., Harish, G., and Farris, T. N., 1995, “Experimental observation of the effect of contact parameters on fretting fatigue crack nucleation,” Proc. USAF Structural Integrity Programme Conference, San Antonio, TX, 28th-30th Nov.
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