Analysis of plate rolling using the dual-stream function method and cylindrical coordinates

Abstract

A mathematical model for plate rolling using the dual-stream function method and cylindrical coordinates has been proposed in this work to examine the plastic-deformation behavior of the plate at the roll gap. The velocity fields derived from this newly developed dual-stream function can automatically satisfy the volume constancy and the velocity boundary conditions within the roll gap. In the formulation, an inclined rigid-plastic boundary plane at the entrance of the roll gap is considered. Although this effect can be easily included in a finite element method, the demanding amount of memory and the computer time by an FEM approach makes it impractical as a personal computer routine. By this model, effects of various forming parameters such as the roll diameter, thickness of the plate, the friction factor, the aspect ratio of the plate, etc., upon the width spread of the product and the rolling power were discussed systematically. Furthermore, experiments on plate rolling using aluminum sheets were carried out. From the comparison between the analytical and experimental results, it is clear that this model can offer useful knowledge in designing the pass-schedule of plate rolling process.