ABSTRACT
Mathematical expressions which theoretically relate the various rolling parameters to each other are generally referred to as models of the rolling process. They serve a number of purposes, the principal ones being the assistance they give to mill builders in the design of new rolling facilities and to operators in indicating how existing mills may be better or differently utilized. Critical to the rolling operation are the frictional conditions existing at the work roll — workpiece interfaces in the roll bite. Because of the difficulties encountered in trying to experimentally monitor them under high-speed rolling conditions, discrepancies between actual rolling forces and those predicted on the basis of various rolling models were attributed to the utilization of erroneous values of the coefficient assumed to exist at the interfaces. In the earliest and simplest of the rolling theories, the work rolls were assumed to remain rigid, or to undergo no elastic deformation.
