板材轧制过程变形区应力分布简化计算模型
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摘要
轧制过程中金属薄板承受的应力状态较为复杂,为了简单快速地估算板材变形区应力分布,根据轧制过程板材中部和边部应力分布的差异,将变形区沿宽度方向分为中部区域和边部区域,忽略宽展并对应力状态进行了简化假设,通过理论推导,建立了轧制变形区应力分布的简化计算模型,实现了对整个轧制变形区轧件承受应力状态的估算求解;并将计算模型求解得到的应力分布与有限元仿真结果进行了对比。结果表明求解得到的轧制变形区各向主应力的分布和数值模拟结果基本一致,证明了简化计算模型的有效性。
During the rolling process, the stress state of the sheet is complicated. In order to estimate the stress distribution in a simple and rapid way, a theoretical calculation model is established by theoretical derivation combined with some simplified assumptions. According to the difference of stress distribution in sheet center and edge, the rolling deformation zone is divided into central area and edge area along width direction, and the lateral spread of the sheet metal is ignored. By this method, the calculation model of the stress distribution in the cold rolling deformation zone is derived, which can be convenient and fast to estimate the stress state of the sheet metal in deformation zone during rolling process. The stress distribution calculated by the theoretical calculation model are compared with the numerical simulation results by finite element method, and the results show that the principal stresses calculated by theoretical model is consistent with the numerical simulation results, which demonstrates the validation of the theoretical calculation model in estimating the stress distribution of sheet metal during rolling process.
During the rolling process, the stress state of the sheet is complicated. In order to estimate the stress distribution in a simple and rapid way, a theoretical calculation model is established by theoretical derivation combined with some simplified assumptions. According to the difference of stress distribution in sheet center and edge, the rolling deformation zone is divided into central area and edge area along width direction, and the lateral spread of the sheet metal is ignored. By this method, the calculation model of the stress distribution in the cold rolling deformation zone is derived, which can be convenient and fast to estimate the stress state of the sheet metal in deformation zone during rolling process. The stress distribution calculated by the theoretical calculation model are compared with the numerical simulation results by finite element method, and the results show that the principal stresses calculated by theoretical model is consistent with the numerical simulation results, which demonstrates the validation of the theoretical calculation model in estimating the stress distribution of sheet metal during rolling process.
引文
[1]连家创,段振勇.轧件宽展量的研究[J].钢铁,1984,19(11):18-23.(LIAN Jiachuang,DUAN Zhenyong.Research on the lateral spread of rolled stock[J].Iron and steel,1984,19(11):18-23(in Chinese)).
[2]钱明,朱泉.板形三维变形解析计算方法在异步轧制中的应用[J].包头钢铁学院学报,1991,10(2):54-59.(QIAN Ming,ZHU Quan.The analysis of the 3-dimensional prediction of the shape are used in cross shear rolling[J].Journal of Baotou institute of iron and steel technology,1991,10(2):54-59(in Chinese)).
[3]刘立忠,刘相华,王国栋.轧制过程的显式动力学有限元模拟[J].力学与实践,2001,23(5):327-330.(LIU Lizhong,LIU Xianghua,WANG Guodong.Simulation on the strip rolling by dynamic explicit FEM[J].Mechanics in engineering,2001,23(5):327-330(in Chinese)).
[4]时旭,李山青,刘相华,等.薄带钢冷轧过程带钢变形的有限元分析[J].钢铁,2004,39(11):45-47.(SHI Xu,LI Shanqing,LIU Xianghua,et al.Analysis for steel strip deformation in cold rolling process[J].Iron and steel,2004,39(11):45-47(in Chinese)).
[5]申光宪,黄庆学,肖宏.弹塑性接触边界元法模拟轧制过程[J].工程力学,1992,9(3):136-142.(SHEN Guangxian,HUANG Qingxue,XIAO Hong.Simulation of rolling by elastoplastic contact boundary element method[J].Engineering mechanics,1992,9(3):136-142(in Chinese)).
[6]LIU H M,LIAN J C,PENG Y.Third-power spline function strip element method and its simulation of the three-dimensional stresses and deformations of cold strip rolling[J].Journal of materials processing technology,2001,116(2/3):235-243.
[7]LIU H M,ZHENG Z Z,PENG Y.Streamline strip element method for analysis of the three-dimensional stresses and deformations of strip rolling[J].International journal for numerical methods in engineering,2001,50(5):1059-1076.
[8]刘宏民,王英睿,金丹.条层法及其对板带轧制三维变形的仿真[J].工程力学,2003,20(6):39-45.(LIU Hongmin,WANG Yingrui,JIN Dan.Strip layer method and its application in simulation of three-dimensional deformations of plate and strip rolling[J].Engineering mechanics,2003,20(6):39-45(in Chinese)).
[9]BAYOUMI L S.Edge stresses in wide strip hot rolling[J].International journal of mechanical sciences,1997,39(4):397-408.
[2]钱明,朱泉.板形三维变形解析计算方法在异步轧制中的应用[J].包头钢铁学院学报,1991,10(2):54-59.(QIAN Ming,ZHU Quan.The analysis of the 3-dimensional prediction of the shape are used in cross shear rolling[J].Journal of Baotou institute of iron and steel technology,1991,10(2):54-59(in Chinese)).
[3]刘立忠,刘相华,王国栋.轧制过程的显式动力学有限元模拟[J].力学与实践,2001,23(5):327-330.(LIU Lizhong,LIU Xianghua,WANG Guodong.Simulation on the strip rolling by dynamic explicit FEM[J].Mechanics in engineering,2001,23(5):327-330(in Chinese)).
[4]时旭,李山青,刘相华,等.薄带钢冷轧过程带钢变形的有限元分析[J].钢铁,2004,39(11):45-47.(SHI Xu,LI Shanqing,LIU Xianghua,et al.Analysis for steel strip deformation in cold rolling process[J].Iron and steel,2004,39(11):45-47(in Chinese)).
[5]申光宪,黄庆学,肖宏.弹塑性接触边界元法模拟轧制过程[J].工程力学,1992,9(3):136-142.(SHEN Guangxian,HUANG Qingxue,XIAO Hong.Simulation of rolling by elastoplastic contact boundary element method[J].Engineering mechanics,1992,9(3):136-142(in Chinese)).
[6]LIU H M,LIAN J C,PENG Y.Third-power spline function strip element method and its simulation of the three-dimensional stresses and deformations of cold strip rolling[J].Journal of materials processing technology,2001,116(2/3):235-243.
[7]LIU H M,ZHENG Z Z,PENG Y.Streamline strip element method for analysis of the three-dimensional stresses and deformations of strip rolling[J].International journal for numerical methods in engineering,2001,50(5):1059-1076.
[8]刘宏民,王英睿,金丹.条层法及其对板带轧制三维变形的仿真[J].工程力学,2003,20(6):39-45.(LIU Hongmin,WANG Yingrui,JIN Dan.Strip layer method and its application in simulation of three-dimensional deformations of plate and strip rolling[J].Engineering mechanics,2003,20(6):39-45(in Chinese)).
[9]BAYOUMI L S.Edge stresses in wide strip hot rolling[J].International journal of mechanical sciences,1997,39(4):397-408.