Analysis of asymmetrical sheet rolling by slab method

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 rolls 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.

► An analytical solution of rolling force and torque considering the shear stress on the vertical side is first proposed by the slab method.
► Comparison of the rolling force obtained from the present model with available data shows a good agreement.
► The rolling forces decrease as the ratios of roll speed and work roll radii increase, while increases as the friction factor ratio increases.
► The present analytical model can easily and quickly predict the characteristics in asymmetrical rolling.