A Three-dimensional Deformation Model for Asymmetric Sheet Rolling Process

Subject Areas : Mechanical Engineering

H. Rezaei ¹ , Heshmatollah Haghighat ²

1 - Mechanical Engineering Department, Razi University, Kermanshah, Iran
2 - Associate Professor, Mechanical Engineering Department, Razi University, Kermanshah, Iran

Received: 2024-04-16 Accepted : 2024-10-12 Published : 2024-10-12

Keywords: Three-dimensional asymmetric rolling, Slab method of analysis, Width spread, Rolling torque, Rolling force.,

Abstract :

In this paper, a three-dimensional deformation model for analyses of asymmetric sheet rolling process is proposed. The slab method of analysis is used for extracting the rolling parameters diagrams. The sheet material under deformation is divided into two deformation zones, i.e. inlet and outlet zones. The inlet and outlet zones are separated from each other by the plane that connects the upper and lower neutral lines. The intersection line of this plane with the vertical plane which passes through the first contact lines of the sheet with the rolls is found, and the origin of the cylindrical coordinate system is located at the midpoint of it. The mathematical equations of the boundaries of the two deformation zones in the vertical plane of symmetry are defined in the cylindrical coordinate system. The mathematical equation presented to estimate the final width of the sheet in symmetric rolling is used for asymmetric rolling of the sheet by replacing the equivalent roll radius. It is assumed that the changes in the sheet width in the deformation zone are a linear function of the horizontal distance to the origin. The governing equations on the slabs are derived and the roll force, the roll torque, and the width spread of the sheet are calculated. The sheet rolling process is also simulated by using the finite element code, DEFORM 3D ver11. It is found that the predicted loads and width spread of the metal sheet are in good agreement with the FE simulation results.

References:

[1] Wang J, Liu X, Guo W., 2018, Analysis of mechanical parameters for asymmetrical strip rolling by slab method. Int J Adv Manuf Technol 98: 2297–2309.
[2] Wang JP, Kao WC, Lee HD, Wang J., 2008, Analysis of 3D rolling forming with generalized rigid-plastic boundaries approach. J Mater Process Technol 204: 425–433.
[3] Hwang YM, Tzou GY., 1997, Analytical and experimental study on asymmetrical sheet rolling. Int J Mech Sci 39: 289–303.
[4] Lin ZC, Huang TG., 2000, Different degree of reduction and sliding phenomenon study for three-dimensional hot rolling with sandwich flat strip. Int J Mech Sci 42: 1983–2012.‏
[5] Hsiang SH, Lin SL., 2001, Application of 3D FEM-slab method to shape rolling. Int J Mech Sci 43: 1155–1177. https://doi.org/10.1016/S0020-7403(00)00064-3
[6] Salimi M, Sassani F., 2002, Modified slab analysis of asymmetrical plate rolling. Int J Mech Sci 44: 1999–2023.
[7] Komori, K., 2002, An upper bound method for analysis of three-dimensional deformation in the flat rolling of bars. Int J Mech Sci 44: 37–55.
[8] Salimi M, Kadkhodaei M., 2004, Slab analysis of asymmetrical sheet rolling. J Mater Process Technol 150: 215–222.
[9] Richelsen AB, Tvergaard V., 2004, 3D Analysis of cold rolling using a constitutive model for interface friction. Int J Mech Sci 46: 653–671.
[10] Zhao DW, Xie YJ, Liu XH, Wang GD., 2006, Three-dimensional analysis of rolling by twin shear stress yield criterion. Journal of Iron and Steel Research International 13: 21–26.
[11] Sezek S, Aksakal B, Can Y., 2008, Analysis of cold and hot plate rolling using dual stream functions. Materials & Design 29: 584–596.
[12] Gudur PP, Salunkhe MA, Dixit US. A theoretical study on the application of asymmetric rolling for the estimation of friction. Int J Mech Sci 2008;50: 315–327.
[13] Kim YK, Kwak WJ, Shin TJ., 2010, A new model for the prediction of roll force and tension profiles in flat rolling. ISIJ international 50: 1644–1652.
[14] Zhang SH, Zhao DW, Gao CR, Wang GD., 2012, Analysis of asymmetrical sheet rolling by slab method. Int J Mech Sci 65: 168–176.
[15] Hallberg H., 2013, Influence of process parameters on grain refinement in AA1050 aluminum during cold rolling. Int J Mech Sci 66: 260–272.‏
[16] Chen SW, Liu HM, Peng Y, Sun, JL., 2013, Strip layer method for simulation of the three-dimensional deformations of large cylindrical shell rolling. Int J Mech Sci 77: 113–120.‏
[17] Zhang S, Song B, Wang X, Zhao D., 2014, Analysis of plate rolling by MY criterion and global weighted velocity field. Applied Mathematical Modelling 38: 3485–3494.
[18] Wu C, Zhang L, Li S, Jiang Z, Qu P., 2014, A novel multi-scale statistical characterization of interface pressure and friction in metal strip rolling. Int J Mech Sci 89: 391–402.‏
[19] Liu YM, Ma GS, Zhao DW, Zhang DH., 2015, Analysis of hot strip rolling using exponent velocity field and MY criterion. Int J Mech Sci 98: 126–131.
[20] Parvizi A, Afrouz F., 2016, Slab analysis of asymmetrical clad sheet bonded before the rolling process. Int J Adv Manuf Technol 87: 137–150.
[21] Parvizi A, Pasoodeh B, Abrinia K., 2016, An analytical approach to asymmetrical wire rolling process with finite element verification. Int J Adv Manuf Technol 85: 381–389.
[22] Yao C, He A, Shao J, Zhao J., 2019, A real-time quasi-3D metal flow model for hot strip rolling. Int J Mech Sci 159: 91–102.‏
[23] Sun X, Liu X, Wang J, Qi J., 2020, Analysis of asymmetrical rolling of strip considering percentages of three regions in the deformation zone. Int J Adv Manuf Technol 110: 763–775.
[24] Sun X, Liu X, Wang J, Qi J., 2020, Analysis of asymmetrical rolling of strip considering two deformation region types. Int J Adv Manuf Technol 110: 2767–2785.
[25] Lv M, Zhang L, He B, Zhao F, Li S, Wang X., 2021, Experimental study on the cross-shear roll bending process. Int J Adv Manuf Technol 115: 1487–1496.
[26] Wang J, Liu X., 2022, Study on minimum rollable thickness in asymmetrical rolling. Int J Adv Manuf Technol 119: 2223–2233.
[27] Rezaie H, Haghighat, H., 2023, A new deformation model for plane strain asymmetric sheet rolling process. Int J Adv Manuf Technol; Accepted for publication.
[28] Lange K, Handbook of metal forming. 1st ed edition, United States of America: Society of manufacturing engineers 1985; 1204.