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An analytical solution based on slab method is first proposed to calculate the rolling force and rolling torque in asymmetrical sheet rolling where the work roll radii, their speeds, and the interfacial frictions may be different. In the solution, the shear stress acting along the vertical sides of each slab is taken into account. To verify the validity of the proposed analytical solution, the analytical rolling force and torque were compared with experimental and analytical results of other investigators. Very good agreements are found. By this proposed analytical solution, it is noted that the calculation time and computer expense are saved, and the characteristics of asymmetrical cold and hot sheet rolling are obtained easily and rapidly.

Slab analysis of asymmetrical sheet rolling