To explain the increase in the area of contact, and hence in the adhesion, of a steel ball sliding on indium, McFarlane and Tabor produced an analysis based on the interaction of the normal and tangential stresses applied during sliding. In their work, McFarlane and Tabor showed experimentally that in the load range 0–100 g the coefficient of friction of a 1 8 ′' steel ball sliding on indium is strongly dependent on the load, the coefficient of friction reaching very high values at light loads. In the present work, their analysis is shown to apply only to a fully work-hardened metal and experimental evidence is given which shows that indium work-hardens in the range of strains set up when a flat indium surface is indented by a 1 8 ′' steel ball with loads up to 100 g. Using the empirically determined relation between load and area of indentation and adopting a similar treatment to that of McFarlane and Tabor, the experimentally observed friction-load behaviour of indium is explained in terms of the incomplete work-hardening of the contact region material when relative motion of the surfaces begins. The treatment is extended to the case of a fully work-hardened metal, when it is shown that the coefficient of friction becomes independent of the load, and criteria for the occurrence of slip and of seizure are obtained. Finally, the argument is extended to give a qualitative explanation of the breakdown of Amontons's law with harder metals in the presence of thin film lubrication.
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