Development of a Novel Analytical Framework for Investigating Non-Symmetric Deformation Behavior in Strip Rolling

Year : 2026 | Volume : 17 | Issue : 01 | Page : 1 21
    By

    P Gopalakrishnaiah,

  • Srinivasarao,

  • Anupama Francy Kothasiri,

  1. Research Scholar, Department of Mechanical Engineering, Andhra University, Andhra Pradesh, India
  2. Professor, Department of Mechanical Engineering, Andhra University, Andhra Pradesh, India
  3. Associate Professor, Department of Mechanical Engineering, Andhra University, Andhra Pradesh, India

Abstract

In recent years, the asymmetrical rolling process has attracted considerable research attention due to its ability to induce non-uniform deformation characteristics within metallic workpieces. In this context, the present study introduces a novel analytical framework for asymmetrical cold rolling based on an enhanced slab method, specifically designed to overcome the inherent limitations of existing analytical models when applied to a wide range of asymmetric rolling conditions. A newly developed mathematical formulation for the asymmetric slab rolling process is proposed, offering a more comprehensive representation of the deformation mechanics. Unlike conventional approaches, the modified model identifies the emergence of three distinct deformation regions within the roll bite: the backward slip zone (BSZ), the forward slip zone (FSZ), and a newly characterized cross-shear zone (CSZ). This zonal classification provides deeper insight into the complex material flow behavior unique to asymmetric rolling. The study systematically investigates the influence of critical rolling parameters – including thickness reduction, roll speed ratio, applied tensions, and friction coefficient – on the configuration and evolution of these deformation zones. It is demonstrated that at specific critical roll speed ratios and tension levels, distinct deformation zone configurations are established, validating the adaptability of the proposed model under varying process conditions. Furthermore, the interdependence between deformation zone configurations and rolling parameters is elucidated through comprehensive process maps, which illustrate the variation of critical speed ratios and critical tensions across diverse rolling scenarios. To quantify the relative influence of process variables, Gray Relational Analysis (GRA) is employed, revealing that the roll velocity ratio is indeed the most dominant factor governing rolling responses, contributing 80% to overall performance optimization. The front tension emerges as the second most influential parameter, accounting for 8.64%, and plays a supportive role in enhancing process stability and surface integrity. Analytical predictions are validated through confirmation experiments, demonstrating agreement with theoretical outcomes. Based on the GRA-derived optimal parameter set, the study recommends specific operating conditions that effectively minimize roller surface damage while simultaneously improving the surface quality of the rolled product

Keywords: Asymmetric strip rolling, energy transfer, friction-stress, neutral point, optimization, slab method

[This article belongs to Journal of Experimental & Applied Mechanics ]

How to cite this article:
P Gopalakrishnaiah, Srinivasarao, Anupama Francy Kothasiri. Development of a Novel Analytical Framework for Investigating Non-Symmetric Deformation Behavior in Strip Rolling. Journal of Experimental & Applied Mechanics. 2026; 17(01):1-21.
How to cite this URL:
P Gopalakrishnaiah, Srinivasarao, Anupama Francy Kothasiri. Development of a Novel Analytical Framework for Investigating Non-Symmetric Deformation Behavior in Strip Rolling. Journal of Experimental & Applied Mechanics. 2026; 17(01):1-21. Available from: https://journals.stmjournals.com/joeam/article=2026/view=237378


References

  1. Avitzur B. Power analysis of cold strip rolling. J Manuf Sci Eng Trans ASME. 1963;85(1):77–88. doi:10.1115/1.3667599.
  2. Avitzur B. An upper-bound approach to cold-strip rolling. J Manuf Sci Eng Trans ASME. 1964;86(1):31–45. doi:10.1115/1.3670446.
  3. Lin ZC, Lin VH. Analysis of the variation of the cold-rolling characteristics of rolling force, strip shape, stress and temperature for a three-dimensional strip. J Mater Process Technol. 1995;54(1–4):326–40. doi:10.1016/0924-0136(95)01796-8.
  4. Baxter JW, Bumby JR. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. 1995. doi:10.1243/PIME.
  5. Al-Salehi FAR, Firbank TC, Lancaster PR. An experimental determination of the roll pressure distributions in cold rolling. Int J Mech Sci. 1973;15(9):693–710. doi:10.1016/0020-7403(73)90049-0.
  6. Altinkaya H, et al. Power analysis of cold strip rolling. Int J Mech Sci. 1996;38(1):19–32. doi:10.1016/S0020-7403(01)00086-8.
  7. Avitzur B, Pachla W. The upper bound approach to plane strain problems using linear and rotational velocity fields—Part I: Applications. J Manuf Sci Eng Trans ASME. 1986;108(4):307–16. doi:10.1115/1.3187081.
  8. Lambert ER, Mehta HS, Kobayashi S. A new upper-bound method for analysis of some steady-state plastic deformation processes. J Manuf Sci Eng Trans ASME. 1969;91(3):731–40. doi:10.1115/1.3591677.
  9. Barbosa-Filho NH. A note on the theory of demand-led growth. Contrib Polit Econ. 2000;19(1):19–32. doi:10.1093/cpe/19.1.19.
  10. Hsiang SH, Lin SL. Study of a 3-D FEM combined with the slab method for shape rolling. J Mater Process Technol. 2000;100(1):74–9. doi:10.1016/S0924-0136(99)00369-6.
  11. A slab method software for the numerical simulation of mixed lubrication regime in cold strip rolling.
  12. Oh M, Kim N. Optimum design of roll forming process of slide rail using design of experiments. J Mech Sci Technol. 2008;22(8):1537–43. doi:10.1007/s12206-008-0430-9.
  13. Lin ZC, et al. Calculation of rolling pressure distribution and force based on improved Karman equation for hot strip mill. Int J Mech Sci. 2014;38(1):293–305. doi:10.1016/j.ijmecsci.2014.09.011.
  14. Haghighat H, Saadati P. An upper bound analysis of rolling process of non-bonded sandwich sheets. Trans Nonferrous Met Soc China (Eng Ed). 2015;25(5):1605–13. doi:10.1016/S1003-6326(15)63764-5.
  15. Oh SI, Kobayashi S. An approximate method for a three-dimensional analysis of rolling. Int J Mech Sci. 1975;17(4):293–305. doi:10.1016/0020-7403(75)90010-7.
  16. Kennedy KF. An approximate three-dimensional metal flow analysis for shape rolling. J Manuf Sci Eng Trans ASME. 1988;110(3):223–31. doi:10.1115/1.3187873.
  17. Paralikas J, Salonitis K, Chryssolouris G. Optimization of roll forming process parameters—a semi-empirical approach. Int J Adv Manuf Technol. 2010;47(9–12):1041–52. doi:10.1007/s00170-009-2252-z.
  18. Jiang ZY, Tieu AK. A simulation of three-dimensional metal rolling processes by rigid-plastic finite element method. J Mater Process Technol. 2001;112(1):144–51. doi:10.1016/S0924-0136(01)00572-6.
  19. Freshwater IJ. Simplified theories of flat rolling—I. The calculation of roll pressure, roll force and roll torque. Int J Mech Sci. 1996;38(6):633–48. doi:10.1016/S0020-7403(96)80006-3.
  20. Freshwater IJ. Simplified theories of flat rolling—II. Comparison of calculated and experimental results. Int J Mech Sci. 1996;38(6):649–60. doi:10.1016/S0020-7403(96)80007-5.
  21. Orowan E. The calculation of roll pressure in hot and cold flat rolling. Proc Inst Mech Eng. 1943;150:140–67.
  22. Sims RB. The calculation of roll force and torque in hot rolling mills. Proc Inst Mech Eng. 1954;168:191–200.
  23. Bland DR, Ford H. The theory of rolling with front and back tension. Proc Inst Mech Eng. 1948;159:144–53.
  24. Hill R. The Mathematical Theory of Plasticity. Oxford: Oxford University Press; 1950.
  25. Avitzur B. Metal Forming: Processes and Analysis. New York: McGraw-Hill; 1968.
  26. Stone MD, Gray JB. Analysis of power requirements in cold rolling. J Eng Ind Trans ASME. 1968;90(3):521–8.
  27. Tselikov AI, Smirnov VV. Rolling of Metals. Moscow: MIR Publishers; 1967.
  28. Roberts WL. Cold Rolling of Steel. New York: Marcel Dekker; 1978.
  29. Alexander JM, Brewer RC. Manufacturing Properties of Materials. London: Van Nostrand; 1963.
  30. Zienkiewicz OC, Godbole PN. Flow of plastic materials between rough plates. J Mech Phys Solids. 1970;18(2):121–38.
  31. Li CS, Kobayashi S. Rigid-plastic finite element analysis of plane strain rolling. J Eng Ind Trans ASME. 1982;104(1):55–63.
  32. Dewhurst P, Collins IF. A matrix method for analysis of rolling processes. Int J Mech Sci. 1975;17(4):243–55.
  33. Hill R. On the mechanics of rolling thin strip. Q J Mech Appl Math. 1954;7(1):19–31.
  34. Misaka Y, Yoshimoto T. Formulation of mean resistance to deformation of steel. J Jpn Soc Technol Plast. 1967;8:414–22.
  35. Wusatowski Z. Fundamentals of Rolling. Oxford: Pergamon Press; 1969.
  36. Kobayashi S, Oh SI, Altan T. Metal Forming and the Finite-Element Method. New York: Oxford University Press; 1989.

Regular Issue Subscription Review Article
Volume 17
Issue 01
Received 05/01/2026
Accepted 20/01/2026
Published 07/02/2026
Publication Time 33 Days


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