Stress analysis of asymmetrical cold rolling of clad sheet using the slab method

Abstract

An analytical model for general asymmetrical cold rolling of clad sheet bonded before rolling was proposed to explore the plastic deformation behavior of the clad sheet using the slab method. The model allowed easy calculation of the neutral points between the upper and lower rolls and the clad sheet; rolling pressure distribution along the contact interface of the roll, horizontal stresses in the component layers of the clad sheet, shear stresses at the interface of the clad sheet, and rolling force. These characteristics as affected by various rolling conditions (e.g., thickness ratio and shear yield stress ratio of the raw clad sheet, roll speed ratio, reduction, frictional coefficient, roll radius ratio, etc.) were analyzed systematically. This approach yielded complete forms for the rolling pressure distribution, rolling force, and rolling torque. Moreover, the computational time required by this analytical model is about 1/20 to 1/25 of that required by the RUNGE KUTTA numerical method under the same rolling conditions.