Analysis of asymmetrical rolling of strip considering two deformation region types
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ORIGINAL ARTICLE
Analysis of asymmetrical rolling of strip considering two deformation region types Xiangkun Sun 1 & Xianghua Liu 1,2 & Ji Wang 1 & Junlong Qi 1 Received: 7 June 2020 / Accepted: 28 August 2020 / Published online: 15 September 2020 # Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract Analytical models of two deformation region types considering the percentages of three regions in the plastic deformation zone are proposed for analyzing asymmetrical rolling of strip and used to calculate the critical speed ratio, three region percentages, roll force, and roll torque. The effective range of speed ratio on thickness reduction increases with increasing critical speed ratio. When the deformation region type is backward-slip zone + cross-shear zone + forward-slip zone (B+C+F), with increasing speed ratio, the thickness reduction in asymmetrical strip rolling increases evidently, but remains unchanged when the critical speed ratio is exceeded, where the deformation region type is backward-slip zone + cross-shear zone (B+C). It is achievable to increase thickness reduction by increasing the roll force and front tension, which can not only increase the reduction rate, but also increase the critical speed ratio. The effect of asymmetrical rolling on thickness reduction is enhanced with decreasing of the roll force and front and back tension because of the increasing cross-shear zone percentage. Keywords Asymmetrical rolling . Deformation region type . Slab method . Three region percentages . Critical speed ratio
Abbreviations B+C+F backward-slip zone + cross-shear zone + forward-slip zone B+C backward-slip zone + cross-shear zone C+F cross-shear zone + forward-slip zone OB only backward-slip zone OC only cross-shear zone OF only forward-slip zone H, h thicknesses at the inlet and the outlet of the roll gap, respectively hb, hf thicknesses at the lower and the upper neutral point, respectively hx variable strip thickness at the roll gap Δh reduction of thickness vf, vs peripheral speeds of the upper and the lower roll, respectively
* Xianghua Liu [email protected] 1
State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110819, Liaoning, People’s Republic of China
2
Key Laboratory of Lightweight Structural Materials, Northeastern University, Shenyang 110819, Liaoning, People’s Republic of China
vH, vh l lb, lc, lf Qb, Qc, Qf i ic αf, αs αl α σx, px σb, σf τf1, τf2 K f1, f2 pxb, pxc, pxf
linear speeds of strip at the inlet and the outlet, respectively length of contact lengths of the backward-slip zone, the cross-shear zone and the forward-slip zone, respectively percentages of the backward-slip zone, the cross-shear zone and the forward-slip zone, respectively speed ratio critical speed ratio neutral angles of the upper and the lower roll, respectively contact angle of the roll gap variable angle of contact at the roll gap horizontal and vertical stresses at the roll gap, respectively back and front tensions, respectively surface shear stresses of the upper a
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