The traction μsp in the transverse direction due to spin was experimentally determined for commercially available traction oils. An increase in contact pressure increased μsp because of an increase in elastic strain, while a decrease in the radius of the roller in the transverse direction increased μsp owing to an increase in the effective shear modulus. Then, the effect of contact pressure on the maximum traction coefficient μmax in the rolling direction was studied. Under a constant temperature, μmax increased with increasing contact pressure, and then it decreased after reaching a peak value. The calculated results by the thermal solution based on an elastic-plastic model, using the limiting shear stress as a quadratic equation of pressure, agreed well with the experimental traction curves. This suggested that a peak value of μmax was brought about by less than a proportional increase in the limiting shear stress with pressure.

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