Theory of Rolling for the Range of Mixed Friction : Part 1, A New Method of Calculation for the Rolling without Tension

Abstract

Bland and Ford's solution is used for calculating the roll force and torque in cold rolling of metal strip, and Sims' solution is used in hot rolling. The present paper deals with a theoretical solution which is applicable to rolling under any condition of friction, by making certain mathematical approximations to the fundamental equations derived by Orowan. This solution may be effective for explaining the rolling process in the range of mixed friction which would take place in warm rolling and hot rolling. Further the solution should be used for the cold rolling in the range of frictional coefficients larger than 0.1.