The St Venant Zone Extent of the Self-Balancing Longitudinal Elastic Stress

Abstract

In the gaps between cells within continuous groups of rolling mills, as a result of local temperature and mechanical factors, longitudinal elastic stress may arise in the strip; this stress is the sum of uniform and self-balancing components. These components affect metal flow in the deformation source. According to the St Venant principle, the influence of the self-balancing component declines with increasing distance from the point of action. The longitudinal and transversal distribution of the self-balancing elastic stress in the strip was analyzed as well as the maximum distance between the deformation source and the point of elastic stress in the strip at which the self-balancing component still affects the plastic deformation of the metal, i.e., the extent of the influence zone of the self-balancing component. The results of this analysis will be useful for a design of new flatness control methods and devices.