Analysis of the shape rolling of a V-sectioned sheet by the dual-stream function method

A mathematical model using dual-stream functions and the upper bound theorem has been proposed in this work to examine the plastic deformation behavior of the sheet at the roll gap during shape rolling of a V-sectioned sheet. This analytical model is also employed to systematically examine the rolling force and the geometry of the rolled product, which are both affected by various rolling conditions such as the sizes of the raw sheet, the inclination of the roll profile, the thickness reduction, etc. Furthermore, experiments on the cold shape rolling of aluminum sheet have also been conducted. The rolling forces and the shape of the rolled product were measured to compare with the analytical values. Through the comparisons made between them, the validity of this newly proposed approach was verified.