Abstract
Recent developments in the theory of rolling contact stresses are reviewed. They follow three main lines: 1. (1) elastic stresses due to slip and friction at the contact interface, 2. (2) pressures developed in elasto-hydrodynamic lubricating films and 3. (3) the influence of inelastic (visco-elastic or plastic) behaviour of the material of the rolling solids. The theory of dry rolling contact of elastic solids is now at an advanced state of development. Studies of lubricated rolling and inelastic deformation are restricted to the two-dimensional problems of rolling cylinders. It has been possible however to put forward a tentative theoretical load-carrying capacity for lubricated metal rollers, above which continuous permanent deformation will take place. It is suggested that the strength of actual rolling surfaces falls below the theoretical limit due to non-homogeneity of the material and the roughness of the surfaces. These effects are at present beyond the scope of theory but would well repay study.
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