Ural Federal University named after the first President of Russia B. N. Yeltsin, Yekaterinburg, Russia
A. M. Mikhaylenko, Cand. Eng., Associate Prof., Dept. of Metal Forming, e-mail: am_plus@mail.ru
D. L. Shvarts, Dr. Eng., Associate Prof., Head of the Dept. of Metal Forming, e-mail: d.l.shvartc@urfu.ru

When optimizing the roll grooves for section rolling, it is necessary to use a structural mathematical model of the rolling process. This model allows for the calculation of metal deformation in the grooves and the energy-force parameters of rolling, and meets the requirements of versatility, high accuracy, and short calculation times for computer implementation. Based on a study of the general principles of roll pass design for various profiles, both simple and complex, a universal geometric model of the deformation zone has been developed. This model is suitable for analyzing the rolling process of a billet with any cross-sectional shape in a two-roll groove of any shape. Equations describing the boundaries of this deformation zone have been derived. A method for dividing the deformation zone into characteristic zones differing in the geometric characteristics of the roll sections and the nature of the deformation occurring is proposed.

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