Advertisement

Meccanica

, Volume 54, Issue 1–2, pp 261–270 | Cite as

Establishment of the tension stress model considering metal lateral flow for foil rolling

  • Z. K. Ren
  • T. WangEmail author
  • W. W. Fan
Article
  • 43 Downloads

Abstract

In rolling production, the foil flatness quality is judged by detecting the lateral distribution of the front tension stress. Currently, because of the inaccuracy of the tension control model, there are still many flatness defects in foil rolling production. For the tension stress model of foil rolling, the primary problem is the inaccuracy of the metal lateral flow model. Therefore, based on Fleck’s foil rolling theory, a new model of the lateral displacement in the foil deformation region is established by using the principle of minimum potential energy. Next, a tension stress model is established, which takes the effect of the metal lateral flow into account. Last, using a laboratory 20-high rolling mill as the research object, the finite element model of foil rolling is established, and the accuracy of the new model is demonstrated by comparing the theoretical calculations with the simulation results.

Keywords

Foil rolling Principle of minimum potential energy Tension stress model Metal lateral flow Finite element model 

Notes

Funding

This study was funded by the Shanxi province science and technology major projects (Grant No. 20181102015) and the Taiyuan City Science and Technology Major Project (Grant No. 170203).

Compliance with ethical standards

Conflict of interest

The authors declare that we have no conflict of interest in the submission of this manuscript, and manuscript is approved by all authors for publication.

References

  1. 1.
    Xiao H, Ren Z, Liu X (2017) New mechanism describing the limiting producible thickness in ultra-thin strip rolling. Int J Mech Sci 133(12):788–793.  https://doi.org/10.1016/j.ijmecsci.2017.09.046 CrossRefGoogle Scholar
  2. 2.
    Yu Q, Liu X, Tang D (2013) Extreme extensibility of copper foil under compound forming conditions. Sci Rep UK 3(8):1–6.  https://doi.org/10.1038/srep03556 Google Scholar
  3. 3.
    Jing Y, Zhang H, Wu H, Li L, Jia H, Jiang Z (2018) Effects of microrolling parameters on the microstructure and deformation behavior of pure copper. Int J Minerals Metall Mater 25(1):45–52.  https://doi.org/10.1007/s12613-018-1545-3 CrossRefGoogle Scholar
  4. 4.
    Yalçinkaya T, Özdemir İ, Simonovski I (2017) Micromechanical modeling of intrinsic and specimen size effects in microforming. Int J Mater Form 47(11):1–13.  https://doi.org/10.1007/s12289-017-1390-3 Google Scholar
  5. 5.
    Wang D, Liu H, Liu J (2017) Research and development trend of shape control for cold rolling strip. Chin J Mech Eng 30(5):1248–1261.  https://doi.org/10.1007/s10033-017-0163-8 CrossRefGoogle Scholar
  6. 6.
    Li C, Wang X, Yang Q, Wang L (2013) Metal transverse flow and its influence factors of hot rolled strips. J Univ Sci Technol Beijing 35(2):222–227.  https://doi.org/10.13374/j.issn1001-053x.2013.02.009 Google Scholar
  7. 7.
    Nakhoul R, Montmitonnet P, Legrand N (2015) Manifested flatness defect prediction in cold rolling of thin strips. Int J Mater Form 8(2):283–292.  https://doi.org/10.1007/s12289-014-1166-y CrossRefGoogle Scholar
  8. 8.
    Tran D, Tardif N, Limam A (2015) Experimental and numerical modeling of flatness defects in strip cold rolling. Int J Solids Struct 69(9):343–349.  https://doi.org/10.1016/j.ijsolstr.2015.05.017 CrossRefGoogle Scholar
  9. 9.
    Dixon A, Yuen W (2008) A physical based method to predict spread and shape during flat rolling for real-time application. J Steel Int 79(4):287–296.  https://doi.org/10.2374/SRI07SP045-79-2008-287 CrossRefGoogle Scholar
  10. 10.
    Kim Y, Shin T (2010) A new model for the prediction of roll force and tension profiles in flat rolling. ISIJ Int 50(11):1644–1652.  https://doi.org/10.2355/isijinternational.50.1644 CrossRefGoogle Scholar
  11. 11.
    Wang X, Yang Q, Jiang Z, Xu J (2014) Research on the improvement effect of high tension on flatness deviation in cold strip rolling. Steel Res Int 85(11):1560–1570.  https://doi.org/10.1002/srin.201400048 CrossRefGoogle Scholar
  12. 12.
    Lee D, Lee K, Lee J (2014) A new model for the prediction of width spread in roughing mills. J Manuf Sci Eng Trans Asme 136(5):0510141–0510149.  https://doi.org/10.1115/1.4027970 Google Scholar
  13. 13.
    Wang F, Du F, Yu H, Zhao Q (2013) Calculation of rolling torque in the process of three-roll mandrel mill by upper-bound method. Eng Mech 30(5):259–264.  https://doi.org/10.6052/j.issn.1000-4750.2011.11.0802 Google Scholar
  14. 14.
    Zeng Q, Zang Y, Qin Q (2015) The effect of roll with passive segment on the planetary rolling process. Adv Mech Eng 7(3):1–7.  https://doi.org/10.1177/1687814015571013 CrossRefGoogle Scholar
  15. 15.
    Lian J (1980) Analysis of profile and shape control in flat rolling. In: Proceeding of 1st international conference on steel rolling. Tokyo, pp 713–724Google Scholar
  16. 16.
    Fleck N, Johnson K (1987) Towards a new theory of cold rolling thin foil. Int J Mech Sci 29(7):507–524.  https://doi.org/10.1016/0020-7403(87)90012-9 CrossRefGoogle Scholar
  17. 17.
    Fleck N, Johnson K, Mear M, Zhang L (1992) Cold rolling of foil. Proc Inst Mech Eng B J Eng 206(2):119–131.  https://doi.org/10.1243/PIMEPROC199220606402 CrossRefGoogle Scholar
  18. 18.
    Yuan Z, Xiao H, Xie H (2014) Practice of improving roll deformation theory in strip rolling process based on boundary integral equation method. Metall Mater Trans A 45(2):1019–1026.  https://doi.org/10.1007/s11661-013-2099-7 CrossRefGoogle Scholar
  19. 19.
    Xiao H, Yuan Z, Wang T (2013) Roll flattening analytical model in flat rolling by boundary integral equation method. J Iron Steel Res Int 20(10):39–45.  https://doi.org/10.1016/S1006-706X(13)60174-0 CrossRefGoogle Scholar
  20. 20.
    Shohet KN (1968) Roll bending methods of crown control in four-high plate mills. J Iron Steel Inst 206:1088–1098Google Scholar
  21. 21.
    Ma Y, Gong M, Xing S, Li Z (2015) FEM analysis of 304 stainless steel strip flatness control. Iron Steel 50(2):48–53.  https://doi.org/10.13228/j.boyuan.issn0449-749x.20140394 ADSGoogle Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.College of Mechanical EngineeringTaiyuan University of TechnologyTaiyuanPeople’s Republic of China

Personalised recommendations