plasticity, mathematical model, numerical simulation, verification, complex loading, flat curved trajectory, vector and scalar properties of materials, SN-EVM test stand.

The results of numerical modeling of process nonproportional elasto-plastic deformation steel 45 along complex flat trajectory with a constant curvature are presented. The theory of processes of A. A. Ilyushin and mathematical model of V. G. Zubchaninov considering all parameters of complex loading for flat trajectories is used. To assess the reliability of used constitutive equations, the numerical simulation results are compared with experimental data conducted on an automated SN-EVM test stand. Set the correct of modeling nonproportional plastic deformation of steel 45 using the proposed mathematical model. It is shown that the absence of some parameters of complex loading in functional approximations gives the calculated results that differ from the experimental data.

1. Zubchaninov Vladimir Georgievich e-mail: vlgzub@gmail.com, Doctor of Technical Sciences, Professor, Tver State Technical University, Tver, Russia. 2. Alekseev Andrey Alekseevich e-mail: alexeew@bk.ru, Ph. D. in Technical Sciences, Ass. Professor, Tver State Technical University, Tver, Russia. 3. Gultyaev Vadim Ivanovich e-mail: vig0@mail.ru, Doctor of Technical Sciences, Ass. Professor, Tver State Technical University, Tver, Russia.