Analysis of Rolling of Bars by the Energy Method Using Finite Element Division

Abstract

In the field of bar rolling, many experimental researches have been performed, and various empirical formulas are proposed. But there are few analytical approaches to this subject, because the flow of material in bar rolling is complicated in comparison with that in sheet rolling and it is not easy to determine the three-dimensional kinematically admissible velocity fields. Recently, we have proposed a new energy method using finite element division. In this paper, this method is descrived in application to bar rolling. First, technique of finite element division is suggested in order that we can apply the method to any type of rolling in which central region of material is reduced earlier than the other part. Second, the influence of degree of freedom of velocity fields on rolling properties is discussed, and an appropriate velocity field is proposed. Finally, this method is applied to the analysis of flow of material in two types of bar rolling, square-diamond pass and round-oval pass, and reasonable results are obtained.