Theory of Rolling for the Range of Mixed Friction : Part 2, A Method of Calculation for the Rolling with Front and Back Tensions

Abstract

In our previous paper, a theoretical solution applicable to plate or strip rolling process without tension has been derived from Orowan's fundamental equations by making some mathematical approximations to them. This solution is effective for explaining the rolling characteristics especially in the range of mixed friction where the regions of slipping friction and sticking friction coexist on the contact arc with roll. In this paper, we extend this solution to the case where front and back tensions are applied, and theoretically examine the effect of tension on rolling phenomena under various states of friction, particularly in the range of mixed friction.