10 - Applications and Sensitivity Studies

Abstract

Concepts, ideas and expressions concerning the flat rolling process were developed, derived or simply stated in the previous chapters. Many of the equations presented are discussed and their predictions are analysed. In what follows, a selection of the equations is analysed further by examining their sensitivity to some of the independent parameters in addition to their applicability in certain specific situations. The first section deals with the sensitivity of the predicted magnitudes of the roll separating forces and the roll torques by the mathematical models considered in Chapter 5 to various independent parameters such as the coefficient of friction, the reduction, the strain hardening coefficient and the entry thickness. This is followed by a comparison of the measured powers required for reducing a strip to the recommendations of Avitzur and Roberts. The roll pressure distributions, as obtained by the friction hill approach and by letting the friction factor vary along the contact, are then compared. Several relations dealing with the metallurgical phenomena during rolling are examined next: these are the statically recrystallized grain size and the critical strain.