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An analytical model of hot rolling force for a thick plate by combining globally optimal approximation yield criterion and egg-circular velocity field

作     者:Shun-hu Zhang Yi Zhang Wen-hao Tian Yan Li Shun-hu Zhang;Yi Zhang;Wen-hao Tian;Yan Li

作者机构:Shagang School of Iron and SteelSoochow UniversitySuzhou 215021JiangsuChina 

出 版 物:《Journal of Iron and Steel Research International》 (J. Iron Steel Res. Int.)

年 卷 期:2024年第31卷第3期

页      面:647-659页

核心收录:

学科分类:080503[工学-材料加工工程] 08[工学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基  金:support from the National Natural Science Foundation of China(Grant Nos.52074187,U1960105 and 52274388) the Undergraduate Training Program for Innovation and Entrepreneurship,Soochow University,China(Grant No.202210285158Y) 

主  题:Yield criterion Plastic deformation Rolling force Velocity field Analytical solution 

摘      要:For the sake of solving the problem that it is difficult to be integrated for the Mises specific plastic power due to its nonlinearity,a new linear criterion,named the globally optimal approximation criterion,is constructed by the polygonal approximation to the Mises *** new criterion is proved to be the linear function of the principal stress componentsσ1,σ2 andσ3 and the trajectory of it on theπ-plane is a non-equiangular but equilateral dodecagon intersecting the Mises *** theoretical results of the current criterion described by the Lode stress parameters are in excellent accordance with the experimental ***,according to the trend that the metallic flow velocity between rollers aggrandizes gradually from the inlet to the outlet during the hot rolling of a thick plate,a biomimetic velocity field is proposed in which the horizontal velocity component fits the egg-circular curve *** velocity field and its simulated results agree quite ***,using the determined linear criterion,energy analysis of the constructed velocity field is utilized to obtain the interior deformation power,while the vector decomposition approach is utilized to obtain the frictional power and shear *** this basis,the overall power is obtained and the analytical solutions are generated for the rolling torque,rolling force and the coefficient of the stress state under different egg curves by minimizing the neutral ***,the parameter optimization of the characteristic parameterρwhich affects the slope of the egg-circular curve is carried out and the best egg-circular curve which can minimize the energy consumption is *** best agreement between the theoretical and observed values of rolling force and rolling torque is under this curve,and the mean relative errors of the rolling torque and rolling force are no more than 2.93%,while the maximum error is no more than 8.35%.

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