Linear Integral Analysis of Bar Rough Rolling by Strain Rate Vector

A new linear integral method for bar hot rolling on roughing train was obtained. First,for plastic deformation energy rate,equivalent strain rate about Kobayashi's three-dimensional velocity field was expressed by two-dimensional strain rate vector; then,the two-dimensional strain rate vector was inverted into inner product and was integrated term by term. During those processes,boundary equation and mean value theorem were introduced; for friction and shear energy dissipation rate,definite integral was app...