Abstract
A theoretical method based on slab method of analysis is presented to give an account to the developed curvature in asymmetrical sheet rolling where the work rolls radii, their speeds, and the interfacial frictions may be different. In this model the ingoing sheet is considered to be guided to enter the roll gap horizontally and the work rolls may have different pressure distributions. The nonuniformity of normal and shear stresses acting along the vertical sides of each slab are taken into account, and the equilibrium equations together with the yield relations are considered as the governing equations. The strip curvature at exit is calculated based on the differences in shear as well as normal strains within the upper and lower portions of the slab. Results are compared with analytical and experimental findings of previous investigators and are shown to be in good agreement.
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References
Buxton SA, Browning SC (1972) Turn-up and turn-down in hot rolling: a study on a model mill using plasticine. J Mech Eng Sci 14:245
Ghobrial MI (1989) A photo elastic investigation on the contact stresses developed in rolls during asymmetrical flat rolling. Int J Mech Sci 34(10):757–764
Gudur PP, Salunkhe MA, Dixit US (2008) A theoretical study on the application of asymmetric rolling for the estimation of friction. Int J Mech Sci 50:315–327
Hwang YM, Tzou GY (1994) An analytical approach to asymmetrical hot sheet rolling considering the effect of the shear stress and internal moment at the roll gap. J Mater Process Technol 52:399–424
Hwang YM, Tzou GY (1995) An analytical approach to asymmetrical cold and hot rolling of clad sheet using the slab method. J Mater Process Technol 62:249–259
Hwang YM, Tzou GY (1995) Analysis of asymmetrical hot strip rolling by the slab method. J Mater Eng Perform 4(3):265–274
Hwang YM, Chen TH (1996) Analysis of asymmetrical sheet rolling by the stream function method. JSME Int J Ser A 39(4):598–605
Hwang YM, Tzou GY (1997) Analytical and experimental study on asymmetrical sheet rolling. Int J Mech Sci 39(3):289–303
Kadkhodaei M (2002) Analysis of asymmetrical sheet rolling, MS. Dissertation, Mechanical Engineering Department, Isfahan University of Technology (in Persian)
Kadkhodaei M, Salimi M, Poursina M (2007) Analysis of asymmetrical sheet rolling by a genetic algorithm. Int J Mech Sci 4:622–634
Kennedy GE, Slamar F (1958) Turn-up and turn-down in hot rolling. Iron Steel Eng 35–71
Salimi M, Kadkhodaei M (2004) Slab analysis of asymmetrical sheet rolling. J Mater Process Technol 150:215–222
Salimi M, Kadkhodaei M (2004) Asymmetrical cold sheet rolling in free horizontal entry conditions. Steel Grips 150:75–81
Salimi M, Sassani F (2002) Modified slab analysis of asymmetrical plate rolling. Int J Mech Sci 44:1999–2023
Shivpuri R, Chou PC, Lau CW (1988) Finite element investigation of curling in non-symmetric rolling of flat stock. Int J Mech Sci 30:625–635
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The authors are thankful to S. Lahijanian for the many efficient discussions and valuable suggestions.
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Qwamizadeh, M., Kadkhodaei, M. & Salimi, M. Asymmetrical sheet rolling analysis and evaluation of developed curvature. Int J Adv Manuf Technol 61, 227–235 (2012). https://doi.org/10.1007/s00170-011-3697-4
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DOI: https://doi.org/10.1007/s00170-011-3697-4