Studies on the Three-Dimentional Deformation in Rolling : (1st Report, Theoretical Study on the Three-Dimentional Distributions of Rolling Stresses)

Abstract

Beginning with the pioneer work of Siebel, many attempts have been made to obtain a satisfactory solution of rolling pressure distribution over the arc of contact. But because of the complexity of the problem, all the theoretical solutions have been based on the plane strain problem without lateral spread. In hot rolling, it has been done under the condition that any variation in the width of plate is permitted. The author assumed the mean slipping angle α between the plate and rolls and developed the three-dimentional distributions of rolling stresses. According to the theoretical result, the decrease of rolling pressure to the edge during the rolling process was explained by taking the new factor of plate width.