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Mathematical Problems in Engineering
Volume 2015, Article ID 612840, 5 pages
Research Article

The Influence of Bauschinger Effect in Straightening Process

1Heavy Industry Engineering Center of China Ministry of Education, Taiyuan 030024, China
2Material Science & Engineering Science College, Taiyuan University of Science and Technology, Taiyuan 030024, China
3Technology Center, Taiyuan Heavy Industry Co., Ltd., Taiyuan 030024, China

Received 22 October 2014; Revised 6 January 2015; Accepted 6 January 2015

Academic Editor: Yannis Dimakopoulos

Copyright © 2015 Hai-Lian Gui et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The yield stress changes during the straightening process, because of the Bauschinger effect. This effect leads to a different reduction rate in each straightening roller. To accurately estimate the straightening effect of the rolled piece, the Bauschinger effect must be considered in calculating the reduction rate. In this paper, the straightening model is described by the fast multipole boundary element method. The Bauschinger effect model is discussed in the elastic loading region and elastic plastic loading region. Young’s modulus reduction and the reverse yield stress reduction are obtained for the straightening force model. The straightening force formula including the Bauschinger effect is determined by analyzing the tension and compression processes. This formula reflects the changes of the yield stress and the straightening force in the tension and compression processes. It is concluded that the Bauschinger effect is a very important factor for the precise estimation of the straightening force.