Analysis of Asymmetrical Sheet Rolling by Stream Function Method

A mathematical model for asymmetrical sheet rolling is proposed, using the stream function method and the upper bound theorem to investigate the plastic deformation behavior of the sheet at the roll gap. The curvature of the rolled product obtained under various rolling conditions of roll speed ratio, roll radius ratio, friction factor ratio, and inlet angle of the sheet at the entrance of the roll gap, are discussed systematically. The predicted curvature of the rolled product and rolling force are in good agreement with those of experimental measurements. Therefore, the proposed analytical approach is considered to be applicable for simulating asymmetrical sheet rolling.