Analysis of broadside rolling for heavy plate by weighted velocity field and mean yield criterion

A new weighted velocity field for broadside rolling is proposed, in which the effect of double-barrel shape has been taken into account. By using the proposed velocity field and mean yield criterion (or called MY criterion for short), the internal deformation energy rate is obtained. With co-line vector inner-product method, the frictional energy rate between the roll and the work piece is integrated. Using the double integrals in polar coordinates, the shear energy rate at the entry section is also derived. Ultimately, an analytical solution of roll torque and separating force for broadside rolling is first obtained. The theoretical predictions of roll torque and separating force are compared with actual measured data. The result reveals that the proposed solution is appropriate for solving broadside rolling, and the roll torque and separating force are in good agreement with the actual measured ones since the maximum errors are < 15.41 %. Moreover, the effects of various rolling conditions such as thickness reduction, friction factor and shape factor, upon separating force, location of neutral angle, and stress state coefficient are discussed systematically.