Mathematical Modeling
Vol. 8 (2024), Issue 2, pg(s) 56-58

MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

Effect of the limiting deformation zone under conditions of asymmetric loading during rolling

  • 1 Rudny Industrial Institute, Rudny, Kazakhstan
  • 2 Karaganda Industrial University, Temirtau, Kazakhstan

Abstract

In this article, is to develop a physical and mathematical model of the process under complex asymmetric loading in conditions of single-area and two-area deformation zone during plastic processing of medium-thickness strips. The stress state in case of loss of stability during rolling of strips of medium thickness was investigated. The patterns of changes in the stress state of the strip under conditions of reach of the limiting deformation zone, as well as the effects of plastic shaping determined by a decrease in contact stresses under conditions of increasing deformation loading, are revealed. The described method is a visual approach to assessing the stress state of a plastic medium under conditions of complex interaction and asymmetric loading.

Keywords

References

  1. A.I. Tselikov. Theory of calculation of forces in rolling mills. - Moscow: Metallurgizdat, 1962. 494 pp. (in Russian).
  2. O.P. Maksimenko, D.I. Loboiko, M.N. Shtoda, I.I. Shtoda, Investigation of the longitudinal stability of the strip when rolling on continuous mills, Zbirnik naukovikh prats of the Dniester State Technical University. Technichni nauki. Tem. vip., 2018, 59- 64, (in Russian).
  3. O.P. Maksimenko, R.Ya. Romanyuk, Estimation of rolling process stability by contact-stress diagrams, Metallurgical and Mining Industry, 2, 2010, 122-129.
  4. P.L. Klimenko. Contact stresses in rolling. Dnepropetrovsk. 2007. 285 pp. (in Russian).
  5. V.G. Zubchaninov. Mathematical theory of plasticity. Tver: TSTU. 2002. 300 рр.
  6. N.S. Sinekop, L.S. Lobanova, L.A. Parkhomenko, The method of R-functions in dynamic problems of elasticity theory, Kharkiv, KHGUPT, 2015, (in Russian).
  7. V. Chigirinsky, A. Naizabekov, S. Lezhnev, Solved the problem of plasticity theory, J. Chem. Technol. Metall., 56, 4, 2021, 867-876.
  8. J. Chakrabarty, Theory of Plasticity. 3rd ed., Elsevier, 2006.
  9. A.I. Rudskoy, V.A. Lunev, Theory and technology of rolling production, St. Petersburg, Nauka, 2008, (in Russian).

Article full text

Download PDF