Three-Dimensional Analysis of Rolling by Twin Shear Stress Yield Criterion

• Published in: Journal of iron and steel research, international Vol. 13; no. 6; pp. 21 - 26
• Main Authors: ZHAO, De-wen, XIE, Ying-jie, LIU, Xiang-hua, WANG, Guo-dong
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.11.2006; State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110004, Liaoning, China
• Subjects: analytical solution; co-line vector integral; three-dimensional rolling; twin shear stress yield criterion; 三维空间旋转; 协同线矢量积分; 双剪切应力屈服准则; 自动控制; 解析解法; twin shear stress yield criterion; analytical solution; three-dimensional rolling; co-line vector integral
• ISSN: 1006-706X; 2210-3988
• DOI: 10.1016/S1006-706X(06)60104-0

Using the twin shear stress yield criterion, the surface integral of the co-line vectors, and the integration depending on upper limit, Kobayashi＇s three-dimensional velocity field of rolling was analyzed and an analytical expression of rolling torque and single force was obtained. Through redoing the same experiment of rolling pure lead as Sims, the calculated results by the above expression were compared with those of Kobayashi and Sims formulae. The results show that the twin shear stress yield criterion is available for rolling analysis and the calculated results by the new formula are a little higher than those by Kobayashi and Sims ones if the reduction ratio is less than 30%.