Abstract
A theoretical analytical model for cold-and-hot PV wrapping bond rolling of unbounded double-layers sheet is derived to explore the stress field at the roll gap by using the direct formulation without Runge Kutta numerical method. Constant shear friction between the rolls and the double-layers sheet and different roll speeds are assumed. In this study, the neutral points between the rolls are moved toward the exit and entrance respectively by controlling front tension, back tension and roll speed ratio; this situation is called as PV rolling. If the component layer of double-layers sheet is wrapped along the roll at the entrance, then called as wrapping. Besides the double-layers sheet is not bonded at the entrance, therefore, this study is more complicated. The rolling pressure distribution along the contact interface between the rolls and the double-layers sheet, the horizontal stresses in the component layers of the double-layers sheet, the rolling force, and the rolling torque etc., can be easily and rapidly calculated by using this analytical model. In addition, it is important to obtain the bonding point at the interface and the thickness ratio of double-layers sheet at the exit from this study. Moreover, the bonding conditions for the double-layers sheet are found to offer useful knowledge in performing the bond rolling so as to avoid the bond failure.
