Skip to main content
Log in

Three-Dimensional Analysis of Rolling by Twin Shear Stress Yield Criterion

  • Published:
Journal of Iron and Steel Research International Aims and scope Submit manuscript

Abstract

Using the twin shear stress yield criterion, the surface integral of the co-line vectors, and the integration depending on upper limit, Kobayashi’s three-dimensional velocity field of rolling was analyzed and an analytical expression of rolling torque and single force was obtained. Through redoing the same experiment of rolling pure lead as Sims, the calculated results by the above expression were compared with those of Kobayashi and Sims formulae. The results show that the twin shear stress yield criterion is available for rolling analysis and the calculated results by the new formula are a little higher than those by Kobayashi and Sims ones if the reduction ratio is less than 30%.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. OH S I, Kobayashi S. An Approximate Method for a Three-Dimensional Analysis of Rolling [J]. Int J Mech Sci, 1975, 17(4): 295–305.

    Article  Google Scholar 

  2. Kobayashi S. Metal Forming and the Finite Element Method [M]. New York: Oxford University Press, 1989.

    Google Scholar 

  3. Kazunori KATO, Tadao MUROTA, Toshihiko KUMAGAI. Flat-Rolling of Rigid-Perfectly Plastic Solid Bar by the Energy Method [J]. J Jap Soc Tech Plasticity, 1980, 21(231): 359–369 (in Japanese).

    Google Scholar 

  4. LI G-J, Kobayashi S. Numerical Analysis of Forming Processes [M], New York: John Wiley and Sons Ltd, 1984.

    Google Scholar 

  5. YU Mao-hong. Twin Shear Stress Yield Criterion [J]. Int J Mech Sci, 1983, 25(1): 71–74.

    Article  Google Scholar 

  6. ZHAO De-wen, WANG Guo-dong, BAI Guang-run. Theoretical Analysis of the Wire Drawing Through Two Roller Dies in Tandem [J]. Science in China (Series A), 1993, 36(5): 632–640.

    Google Scholar 

  7. WANG Guo-dong, ZHAO De-wen. Modern Materiel Forming Mechanics [M]. Shenyang: Northeastern University Press, 2004 (in Chinese).

    Google Scholar 

  8. ZHAO De-wen, GUO Chang-wu, LIU Xiang-hua. Surface Integral of Three-Dimensional Velocity Field for Square Bar Drawing Through Conical Die [J]. Trans Nonferrous Met Soc China, 1996, 6(3): 131–139.

    Google Scholar 

  9. ZHAO De-wen. Mathematical Solution of Continuum Forming Force [M]. Shenyang: Northeastern University Press, 2003 (in Chinese).

    Google Scholar 

  10. Sims R B. The Calculation of Roll Force and Torque in Hot Rolling Mills [J]. Proc Inst Mech Engrs, 1954, 168(6): 191–200.

    Article  Google Scholar 

  11. Richardson G J. Worked Examples in Metalworking [M]. London: The Chameleon Press Limited, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to De-wen Zhao.

Additional information

Foundation Item: Item Sponsored by National Natural Science Foundation of China (50474015)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, Dw., Xie, Yj., Liu, Xh. et al. Three-Dimensional Analysis of Rolling by Twin Shear Stress Yield Criterion. J. Iron Steel Res. Int. 13, 21–26 (2006). https://doi.org/10.1016/S1006-706X(06)60104-0

Download citation

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S1006-706X(06)60104-0

Key words

Navigation