scholarly journals Optimization solution of vertical rolling force using unified yield criterion

2021 ◽  
Author(s):  
Yufeng Zhang ◽  
Meiying Zhao ◽  
Li Xu ◽  
Hongshuang Di ◽  
Xiaojuan Zhou ◽  
...  
Keyword(s):  
Rolling Force ◽  
Yield Criterion

scholarly journals Modeling of Rolling Force for Thick Plate of Multicomponent Alloys and Its Application on Thickness Prediction

2021 ◽  
Vol 8 ◽  
Author(s):  
Shun Hu Zhang ◽  
Jia Lin Xin ◽  
Li Zhi Che
Keyword(s):  
Thick Plate ◽  
Rolling Force ◽  
Yield Criterion ◽  
Metal Flow ◽  
Rolling Process ◽  
Logistic Function ◽  
Force Model ◽  
Multicomponent Alloys ◽  
Thickness Prediction ◽  
Predicted Values

During the rolling process of thick plate, the nonlinear specific plastic power that derived from the non-linear Mises yield criterion is difficult to be integrated, which has restricted the establishment of a rolling force model. To solve this problem, a new yield criterion is firstly established, and then used to derive a linear specific plastic power. Meanwhile, a kinematically admissible velocity field whose horizontal velocity component obeys the Logistic function is proposed to describe the metal flow of the deformed plate. On these bases, the rolling energy items including the internal deformation power of the deformed body, friction power on the contact surface, and shear power on the entry and exit sections are integrated successively, and the rolling force model is established. It is proved that the model can predict the rolling force well when compared with the actual data of multicomponent alloys. Besides, the formula for predicting the outlet thickness is ultimately given upon this derived model, and a good agreement is also found between the predicted values and the actual ones, since the absolute errors between them are within 0.50 mm.

scholarly journals Analysis of Rolling Force for Extra-Thick Plate with CA Criterion

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Shun Hu Zhang ◽  
Lei Deng ◽  
Peng Li
Keyword(s):  
Temperature Rise ◽  
Power Dissipation ◽  
Thick Plate ◽  
Control Method ◽  
Rolling Force ◽  
Yield Criterion ◽  
Inner Product ◽  
Relative Reduction ◽  
Force Model ◽  
Theoretical Results

In order to solve the nonlinear integral difficulty of the Mises yield criterion, a linear yield criterion, called the collaborative approximation (CA) yield criterion, is proposed by the collaborative control method. According to the approximation method, the mathematical expression of the CA yield criterion is derived as a linear function of the three principal stresses. The theoretical results based on the yield criterion in the form of the Lode parameter are verified with the classical test data, and a good agreement is found. Meanwhile, for the purpose of proving the effectiveness of the yield criterion, its specific plastic power is derived and applied to establish the rolling force model of an extra-thick plate. In the modeling, the internal power of plastic deformation is obtained by using the derived specific plastic power, while the shear power dissipation and the frictional power dissipation are obtained by using the methods of strain vector inner product and average velocity integration. Then, the analytical solution of the rolling force is obtained and then extended to the one accounting for the temperature rise. The maximum errors of the predicted rolling torque and rolling force without considering the temperature rise are 12.72% and 11.78%, respectively, while those considering the temperature rise decrease to 3.54% and 5.23%, respectively. Moreover, the influence of relative reduction, friction factor, surface temperature, and the temperature rise of the workpiece on the theoretical results is discussed.

Slab analysis based on stream function method in chamfer edge rolling of ultra-heavy plate

2016 ◽  
Vol 231 (7) ◽  
pp. 1237-1251
Author(s):  
JG Ding ◽  
HY Wang ◽  
DH Zhang ◽  
DW Zhao
Keyword(s):  
Velocity Field ◽  
Stream Function ◽  
Function Method ◽  
Rolling Force ◽  
Yield Criterion ◽  
Three Dimensional ◽  
Total Power ◽  
Shape Coefficient ◽  
Heavy Plate ◽  
Dog Bone

In this paper, three-dimensional velocity field is proposed by means of stream function method with bisecting yield criterion in chamfer edge rolling of ultra-heavy plate. Parabolic dog-bone shape function is derived so as to obtain velocity field with fixed angle of chamfer edge by stream function method, dog-bone shape coefficient η can be derived from volume invariant condition, and then the plastic deformation power, shear power as well as friction power are obtained respectively with the bisecting yield criterion. Summing up the power contributions, total power functional is presented, from which minimum value can be obtained by searching method, and vertical rolling force and torque are also finally obtained. The predictions of roll force and torque are compared with different angles of chamfer edge as well as different plate thicknesses. The results are shown to be in a very good agreement with the analytical and experimental results.

Analysis of Hot Tandem Rolling Force with Logarithmic Velocity Field and EA Yield Criterion

2014 ◽  
Vol 21 (3) ◽  
pp. 295-299 ◽  
Author(s):  
Jian-zhao Cao ◽  
De-wen Zhao ◽  
Shun-hu Zhang ◽  
Wen Peng ◽  
Shu-zong Chen ◽  
...  
Keyword(s):  
Velocity Field ◽  
Rolling Force ◽  
Yield Criterion

Mechanical Models and Numerical Simulation of Rolling Compaction for Metal Powders

2006 ◽  
Vol 532-533 ◽  
pp. 817-820
Author(s):  
Ming Jun Liu ◽  
Wei Xia ◽  
Zhao Yao Zhou ◽  
Pu Qing Chen ◽  
Jun Jun Wang ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Special Functions ◽  
Rolling Force ◽  
Yield Criterion ◽  
Three Dimensional ◽  
Friction Model ◽  
Constitutive Relationship ◽  
Metal Powders ◽  
Rolling Velocity ◽  
Mechanical Models

The rolling compaction can produce porous or dense strips with special functions. The mechanical behaviors in rolling compaction are hard to predict accurately and efficiently by traditional means. The numerical simulation based on the Finite Element Method (FEM) provides a flexible and efficient way for such problems. This paper introduces three-dimensional (3-D) FEM simulations for the rolling compaction of the iron matrix powders. The elliptical yield criterion, elasto-plastic constitutive relationship and the friction model were analyzed. Simulations were based on the second-developed user subroutine in MSC.Marc. Effects of friction and rolling velocity on the rolling force, distribution of the density and some other parameters were analyzed.

Analysis of Vertical Rolling Force with GM Yield Criterion and Anti-Symmetric Parabola Dog-Bone Shapes

2015 ◽  
Vol 775 ◽  
pp. 34-38 ◽  
Author(s):  
Hong Yu Wang ◽  
De Wen Zhao ◽  
Dian Hua Zhang
Keyword(s):  
Plastic Deformation ◽  
Rolling Force ◽  
Yield Criterion ◽  
Deformation Characteristic ◽  
Analytical Form ◽  
Total Power ◽  
Average Error ◽  
Total Deformation ◽  
Dog Bone ◽  
Gm Yield Criterion

Vertical rolling is a vital method for width control in rolling, which has its own deformation characteristic. During the processing, plastic deformation does not go further into center of slab, only in edge where the deformation will be occurred. In this paper, an anti-symmetric parabola is creatively used to describe dog-bone shape and innovatively applied to establish a knematically admissible continuous velocity field for vertical rolling. Based on this field, an analytical form of total deformation power is obtained which is a function of reduction geometric parameters, and friction factor m, as well as parameter of A which is to be determined. With minimization of total power results in rolling forces and torque calculated by this new method is obtained. Copper and aluminum experiments conducted by S.-E.Lundberg are used to verified the results calculated by formula in present paper and compared with those by Lundberg and Duckjoongs’ models. The error is no more than 13%, (average error 7%).

The Optimization Solution of the Vertical Rolling Force by Using Unified Yield Criterion

2021 ◽  
Author(s):  
Yufeng Zhang ◽  
Meiying Zhao ◽  
Li Xu ◽  
Hong Shuang Di ◽  
Xiaojuan Zhou ◽  
...  
Keyword(s):  
Hot Rolling ◽  
Prediction Accuracy ◽  
Rolling Force ◽  
Yield Criterion ◽  
Reduction Rate ◽  
Total Power ◽  
Force Model ◽  
Dog Bone ◽  
Mill Equipment ◽  
Admissible Condition

Abstract Vertical rolling is an important technique to control the width of continuous casting slab in hot rolling field. Accurate prediction of vertical rolling force is a core point to maintain rolling mill equipment. Due to the limitation of the algorithm, the prediction accuracy of most vertical rolling force models based on the energy method can only reach more than 10%. Therefore, it is challenging to optimize the rolling force model to improve the prediction accuracy. This paper presents an innovative approach for optimizing the calculation of vertical rolling force with a unified yield criterion. Firstly, the maximal width of dog bone region is determined by the slip-line method and described the dog bone shape via sine function model. Furthermore, proposed velocity and corresponding strain rate fields satisfy kinematically admissible condition is used to calculate the total power. Finally, the analytical solution of the rolling force and dog bone shape model is obtained by repeatedly optimizing the weighted coefficient b of intermediate principal shear stress on the yield criterion. And the effectiveness of the proposed mechanical model is verified by measured data in strip hot rolling field and other models’ results. The results shows that the prediction accuracy of vertical rolling force model can be improved by optimizing the value of b. Then, the impacts of reduction rate, initial thickness and friction factor on dog-bone shape size and vertical rolling force are discussed.

The Yield Criterion for Processing Bamboo Fiber under Rolling Load

2010 ◽  
Vol 152-153 ◽  
pp. 1505-1509
Author(s):  
Wei Zhang ◽  
Wen Bin Yao
Keyword(s):  
Rolling Force ◽  
Yield Criterion ◽  
Alkali Treatment ◽  
Yield Condition ◽  
Basic Research ◽  
Bamboo Fiber ◽  
Paper Strength ◽  
Property Variation ◽  
Rolling Method ◽  
Rolling Load

Processing bamboo fiber by rolling bamboo is a main methods in bamboo fiber making. However, present the basic research for making bamboo fiber by rolling are rarely work. In rolling method, plastic property of bamboo and rolling force are important factors.In this paper, strength property variation of moso bamboo with different moisture content after alkali treatment were studied. Based on the HILL-Tsai Strength theory,the yield condition of bamboo under rolling load was found. The research provided a theoretical basis to found mechanical model of rolling method in bamboo fiber making.

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