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Досліджено можливості використання енергетичного методу для прогнозування дефектоутворення у вигляді утягнення в процесах комбінованого видавлювання. Запропоновано математичну модель процесу комбінованого радіально-зворотного видавлювання порожнистих деталей з фланцем з урахуванням виродження трапецеїдального модуля у прямокутний. Відокремлені етапи процесу деформування в залежності від величину ходу активного інструменту в порівнянні з товщиною дна стакану. Розроблено узагальнюючу розрахункову схему процесу комбінованого радіально-зворотного видавлювання деталей з фланцем з урахуванням заключної стадії деформування (H дна

It is shown that when modeling the processes of forging and stamping, it is necessary to take into account not only the hardening of the material, but also softening, which occurs during hot processing. Otherwise, the power parameters of the deformation processes are precisely determined, which leads to the choice of more powerful equipment. Softening accounting (processes of stress relaxation) will allow to accurately determine the stress and strain state (SSS) of the workpiece, as well as the power parameters of the processes of deformation. This will expand the technological capabilities of these processes. Existing commercial software systems for modeling hot plastic deformations based on the finite element method (FEM) do not allow this. This is due to the absence in these software products of the communication model of the component deformation rates and stresses, which would take into account stress relaxation. As a result, on the basis of the Maxwell visco-elastic model, a relationship is established between deformation rates and stresses. The developed model allows to take into account the metal softening during a pause after hot deformation. The resulting mathematical model is tested by experiment on different steels at different temperatures of deformation. The process of steels softening is determined using plastometers. It is established experimentally that the model developed by 89 ... 93 % describes the rheology of the metal during hot deformation. The relationship between the components of the deformation rates and stresses is established, which allows to obtain a direct numerical solution of plastic deformation problems without FED iterative procedures, taking into account the real properties of the metal during deformation. As a result, the number of iterations and calculations has significantly decreased.

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