Ural Federal University named after the first President of Russia B. N. Yeltsin, Yekaterinburg, Russia¹ ; M. N. Mikheev Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia²

Yu. N. Loginov, Dr. Eng., Prof., Dept. of Metal Forming¹, Leading Researcher², e-mail: j.n.loginov@urfu.ru

Ural Federal University named after the first President of Russia B. N. Yeltsin, Yekaterinburg, Russia
I. N. Fayfer, Postgraduate Student, e-mail: faifer_igor@mail.ru

The aim of the work is to evaluate the influence of the parameters of the hardening curve of the deformed material on the distribution of deformations in the deep drawing operation. It is noted that in the conditions of forging and stamping production, reference data on the strength properties of materials are often used, obtained by the method of preliminary flat rolling of samples with subsequent measurement of the conditional yield strength. In this case, the level of deformations is estimated by the relative compression index, and the same index is used to estimate the deformation in forging operations. However, to perform calculations of the change in shape in modern programs, the true deformation index is required. Formulas for recalculating the deformation indices are given. It is proposed to estimate the degree of intensity of metal work hardening by differentiating the conditional yield strength as a function of the deformation index and obtaining the derivative of the function. It is revealed that high-carbon steel 85 has a high hardening intensity index, and corrosion-resistant chromium-nickel steel has a low index. It is suggested that, based on the principle of minimum energy, the region of greatest deformation will move to the zone of smaller deformations, due to which the thinning of the workpiece during drawing will be aligned along the coordinates. Two boundary value problems of deep drawing of a hemisphere by the finite element method for the two steels mentioned above are set and solved. The previously formed hypothesis was confirmed - the results of the solution showed a decrease in the level of maximum deformation in steel with a higher value of the derivative of the conditional yield strength function. It was additionally revealed that the maximum degree of deformation can be located both on the inner side of the stamping and on the outer side, depending on the type of the hardening curve, which affects the possibility of cracks.

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