Page 110 - Tribology in Machine Design

96 Tribology in machine design

equivalent cylinder near a plane is adequate when pressure generation is
considered, but care must be exercised in relating the force components on
the original cylinders to the force components on the equivalent cylinder.
The normal force components along the centre-lines as shown in Fig. 3.15
are directly equivalent since, by definition

The normal force components in the direction of sliding are defined as

Hence

and

For the friction force components it can also be seen that

where T 0>h represents the tangential surface stresses acting on the solids.

References tO Chapter 3 1. S. Timoshenko and J. N. Goodier. Theory of Elasticity. New York: McGraw-
Hill, 1951.
2. D. Tabor. The Hardness of Metals. Oxford: Oxford University Press, 1951.
3. J. A. Greenwood and J. B. P. Williamson. Contact of nominally flat surfaces.
Proc. Roy. Soc., A295 (1966), 300.
4. J. F. Archard. The temperature of rubbing surfaces. Wear, 2 (1958-9), 438.
5. K. L. Johnson. Contact Mechanics. Cambridge: Cambridge University Press,
1985.
6. H. S. Carslaw and J. C. Jaeger. Conduction of Heat in Solids. London: Oxford
University Press, 1947.
7. H. Blok. Surface Temperature under Extreme Pressure Conditions. Paris: Second
World Petroleum Congress, 1937.
8. J. C. Jaeger. Moving sources of heat and the temperature of sliding contacts.
Proc. Roy. Soc. NSW, 10, (1942), 000.