Skip to main content
Log in

Improving the Method of Calculating the Critical Stresses and Strains in Strips Rolled in the Edging Rolls of a Universal Mill

  • Published:
Metallurgist Aims and scope

The effect of elastic, plastic and elastoplastic models on the accuracy of the calculated critical stresses and strains of copper strips hot-rolled in the edging rolls of a universal two-high mill is studied. It is shown that using elastoplastic models improves the accuracy of the calculated critical stresses by a factor of 150 to 200 and the accuracy of setting up the sheet mill to ensure rolling stability. Analytical equations for calculating the critical compressive stresses for various rolling conditions are derived. The critical compressive stresses and strains are calculated to find their permissible values ensuring the stability of a copper strip hot-rolled in the edging rolls of an 850 × 1000 universal mill.

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.

Fig. 1.
Fig. 2.

Similar content being viewed by others

References

  1. P. I. Polukhin, V. P. Klimenko, et al., Rolling of Thick Sheets, Metallurgiya, Moscow (1984).

    Google Scholar 

  2. A. I. Gertsev and I. M. Meerovich, “Deformation condition for rolling workpieces in the edger of a sheet mill,” in: Trans. VNIIMetMash, Issue 18, ONTI, Moscow (1966), pp. 103–122.

  3. R. L. Shatalov and S. A. Karpov, “Improving the lengthwise stability of a strip hot-rolled in a reversing universal mill,” in: Proc. 6th Congr. of Rolling-Mill Operators (Lipetsk, October 18–21, 2005), Vol. 1, Ob’edinenie Prokatchikov, Moscow (2005), pp. 99–100.

    Google Scholar 

  4. P. I. Polukhin, G. Ya. Gun, and A. M. Galkin, Plastic Strength of Metals and Alloys [in Russian], Metallurgiya, Moscow (1983).

    Google Scholar 

  5. O. E. Osintsev and V. N. Fedorov, Handbook of Copper and Its Alloys, Mashinostroenie, Moscow (2004).

    Google Scholar 

  6. Yu. D. Zheleznov, Rolling of Flat Sheets and Strips, Metallurgiya, Moscow (1970).

    Google Scholar 

  7. G. P. Grigoryan, Y. D. Zheleznov, V. A. Chernyi, et al., Adjustment, Stabilization, and Control of Sheet Rolling Process, Metallurgiya, Moscow (1975).

    Google Scholar 

  8. Yu. D. Zheleznov, G. G. Grigoryan, R. L. Shatalov, et al., “Difference between the rolling conditions before and after loss of flatness of the strip,” in: Theory and Technology of Metal Forming (Trans. MISiS), Issue 81, Metallurgiya, Moscow (1975), pp. 157–160.

    Google Scholar 

  9. S. P. Timoshenko, Stability of Beams, Plates, and Shells [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  10. R. L. Shatalov and E. A. Maksimov, “Refining the method for calculating the critical stresses and ductility index of a rolled strip,” Stal, No. 4, 26–30 (2016).

    Google Scholar 

  11. L. M. Kachanov, Fundamentals of the Theory of Plasticity, Dover, New York (2004).

    Google Scholar 

  12. A. S. Vol’mir, Stability of Deformable Systems, Nauka, Moscow (1967).

    Google Scholar 

  13. Yu. N. Raikov, G. V. Ashikhmin, V. P. Polukhin, and A. S. Gulyaev, Handbook of Copper Alloys: Grades, Properties, and Applications [in Russian], Inst. Tsvetmetobrabotka, Moscow (2011).

    Google Scholar 

  14. Th. Kármán, “Untersuchungen über Knickfestigkeit (Studies on buckling strength),“ Verein Deutscher Ingenieure, 81, 1–45 (1910).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. L. Shatalov.

Additional information

Translated from Metallurg, Vol. 62, No. 6, pp. 59–64, May 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shatalov, R.L., Maksimov, E.A. & Kalmykov, A.S. Improving the Method of Calculating the Critical Stresses and Strains in Strips Rolled in the Edging Rolls of a Universal Mill. Metallurgist 62, 549–558 (2018). https://doi.org/10.1007/s11015-018-0692-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11015-018-0692-0

Keywords

Navigation