Analysis of 3D plastic deformation in vertical rolling based on global weighted velocity field

Yang, Boxin; Xu, Helan; An, Qi

doi:10.1007/s00170-022-09190-4

Cited by 6 publications

(5 citation statements)

References 26 publications

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“…The deformation power is the largest, which account for 50%~60% of total power, followed by shear power, and the friction power is the least. The result is consistent with the previous studies [1,[23][24]. From the above analyze, the width reduction rate and slab thickness have greater impact on edge deformation and rolling force than roller radius and slab width.…”

Section: Rolling Force and Powersupporting

confidence: 92%

“…Γ function and parabola function are selected to describe the half thickness of dog-bone in zone α and zone β. Detailed explanation can be found in our previous study [24], of which the result is given by:…”

Section: 2mentioning

confidence: 99%

“…The solution of stream function can be seen in Ref. 16, 18-19. In zone α and zone β, there are [24]:…”

Section: The Velocity Field and Strain Rate Field Of Plastic Flowmentioning

confidence: 99%

“…The obtained dog-bone height is lower than 2D models' but closer to measurement. The author carried out a combination of Γ function and parabola function to describe edge deformation in previous study [24]. A velocity field is provided through global weighted method and the total power functional is solved numerically.…”

Section: Introductionmentioning

confidence: 99%

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A Coupling Model of Vertical Rolling Process Based on Upper Bound Method and Elastic Theory

Yang¹,

Xu²,

2023

Preprint

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Vertical rolling is an important plastic forming process of metal. The establishment of accurate mechanical model is essential for parameter presetting and online control of the process. A prediction model of vertical rolling force with consideration of mechanism displacement is proposed. Using Γ function and parabolic function to describe edge deformation, the corresponding 3D velocity field, strain rate field and total power functional are derived. On this basis, an energy model for calculating rolling force and edge deformation is established. Simultaneously, an analysis method of mechanism displacement is proposed. The deflection of vertical roller and the radial displacement of support bearings are calculated by applying superposition principle and Palmgren's modified formula respectively. The coupling calculation of slab deformation and mechanism displacement is realized through repeated iteration. The study of bearing structure is carried out, of which the results show that the fluctuation of rolling force caused by bearing azimuth can be ignored. The accuracy of the presented model is verified by comparison with other models and factory measurements. Subsequently, the influences of main rolling parameters on rolling process are analyzed and a series of results are obtained. The influence of width reduction rate and slab thickness on edge deformation and rolling force is greater than that of vertical roller radius and slab width. The compensation value of rolling force has a similar change trend to the compensation value of displacement. In the rolling position, the axis displacement is much greater than deflection. The proportion of axis displacement in total radial displacement rises at first and then falls with the increase of width reduction rate and slab thickness. The proposed model could provide some references for the optimization of vertical rolling process and the improvement of slab quality and yield ratio.

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Section: Rolling Force and Powersupporting

confidence: 92%

Section: 2mentioning

confidence: 99%

“…The solution of stream function can be seen in Ref. 16, 18-19. In zone α and zone β, there are [24]:…”

Section: The Velocity Field and Strain Rate Field Of Plastic Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Coupling Model of Vertical Rolling Process Based on Upper Bound Method and Elastic Theory

Yang¹,

Xu²,

2023

Preprint

Self Cite

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show abstract

“…According to the incompressibility condition, the sine function dog-bone model and the double parabolic dog-bone function model were proposed for the steady state deformation in vertical rolling with flat rolls by Liu et al [13,14], and the dog-bone shape parameters could be determined by using the first variation principle of rigid-plastic material. Yang et al [15] used global weighted method to analyze the edge deformation in vertical rolling process. Zhang et al [16] determined the maximum depth of the dog-bone area by optimizing the sine-function dog-bone shape model using the slip line field.…”

Section: Introductionmentioning

confidence: 99%

Uneven shapes formation mechanism of heavy plate during vertical rolling

Ruan¹,

Xiang

Guo³

et al. 2023

Preprint

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This paper clarified the formation mechanism of the uneven shapes of a wide and heavy plate during vertical rolling (edging). Coordinate movements of material from the plate length center were constrained by both the rolled part and the to-be-rolled part during the steady edging phase. Then the higher dog-bone height and the shorter dog-bone length were formed around plate length center part, comparing to dog-bone shapes formed at plate head and plate tail. During the plate head edging phase, the main plastic deformation zone extended from the roller-plate contact zone to the plate head. Only the to-be-rolled part constrained deformation of material from the main plastic deformation zone, so it was easier for material flew into its width direction as well as its length direction than it did during the steady edging phase. Coordinate movements of the rolled material led to the width shortage around the plate head zone and increased the plate head concave shape. During the plate tail edging phase, the main plastic deformation zone extended from the roller-plate contact zone to the plate tail. Deformation constrain from the to-be rolled part disappeared gradually while that from the rolled part worked through the plate tail edging. Material of the main deformation zone flew into its width direction as well as its length direction more easily than it did during the steady edging too. Coordinate movements of the to-be rolled material increased the plate tail concave shape. The research results provided deep understanding for SSC in plate/strip edging and guidelines to develop new methods for plate/strip plan view pattern control.

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A coupling model of vertical rolling process based on upper bound method and elastic theory

Yang

2023

Int J Adv Manuf Technol

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Analysis of 3D plastic deformation in vertical rolling based on global weighted velocity field

Cited by 6 publications

References 26 publications

A Coupling Model of Vertical Rolling Process Based on Upper Bound Method and Elastic Theory

A Coupling Model of Vertical Rolling Process Based on Upper Bound Method and Elastic Theory

Uneven shapes formation mechanism of heavy plate during vertical rolling

A coupling model of vertical rolling process based on upper bound method and elastic theory

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