Asymmetrical sheet rolling analysis and evaluation of developed curvature

A theoretical method based on slab method of analysis is presented to give an account to the developed curvature in asymmetrical sheet rolling where the work rolls radii, their speeds, and the interfacial frictions may be different. In this model the ingoing sheet is considered to be guided to enter the roll gap horizontally and the work rolls may have different pressure distributions. The nonuniformity of normal and shear stresses acting along the vertical sides of each slab are taken into account, and the equilibrium equations together with the yield relations are considered as the governing equations. The strip curvature at exit is calculated based on the differences in shear as well as normal strains within the upper and lower portions of the slab. Results are compared with analytical and experimental findings of previous investigators and are shown to be in good agreement.