Process modeling of sequential radial-direct extrusion using curved triangular kinematic module

Abstract

In this article new engineering calculations such as the value of the relative strain pressure for the combination of a triangular kinematic module with external modules of various configurations are developed. This allowed us to describe qualitatively the nature of the metal flow in the reversal zone before radial extrusion. This made it possible to achieve a decrease in the predicted assessment of the power mode for the deformation process with comparison by the use of rectangular modules. The greatest reduction in the value of the relative strain pressure corresponded to a combination with an adjacent rectangular module (with the missing vertical component CPVF) and can obtain 7-8%. The deviation of the theoretical results in the power parameters of the process by using a triangular kinematic module are 12-15% for a process with a developed flow radial component. The resulting calculations can be used to model new cold extrusion processes.

Designing a kinematic module with rounding to model the processes of combined radial-longitudinal extrusion involving a tool whose configuration is complex

“…6). It is also recommended to use, as a component of the full value of the reduced deformation pressure for module 3¢, formula (7), and the reduced pressure of known unified adjacent kinematic modules 1, 2, and 3-5, according to the earlier reported studies [32,34].…”

“…The development of capabilities of the energy method of power balance based on the expansion of the base of kinematic modules of complex configuration was addressed in a series of works [29][30][31][32][33][34][35][36]. Papers [29,30] suggested techniques for simplifying the power of plastic deformation forces using a minimizing function in a general form.…”

“…The authors identified the complication of the mathematical apparatus when deriving the value of the reduced deformation pressure (in an analytical form) inside the kinematic module of a triangular or trapezoidal shape with slanting boundaries. A series of works attempted to resolve the issues related to searching for techniques to simplify the expressions of the reduced deformation pressure and deriving the appropriate engineering formulae for calculating the force regime of cold extrusion processes [33,34,36]. The variation of manufacturing modes, tool configurations in production significantly expands the possibilities of cold extrusion processes, on the one hand.…”

Розвиток Енергетичного Методу Балансу Потужностей На Основі Розширення Бази Кінематичних Модулів Складної Конфігурації

“…Таким чином, потреби в урахуванні конфігурації інструменту та особливостей кінематики течії металу, форми осередків інтенсивної деформації вимагають розробки нових кінематичних модулів складної конфігурації. Розвитку можливостей енергетичного методу балансу потужностей на основі розширення бази кінематичних модулів трапецеїдальної та трикутної форми присвячено ряд робот [11][12][13][14][15]. Виявлено проблеми значного ускладнення математичного апарату та необхідність використання прийомів спрощення виразів приведеного тиску деформування, що дозволяють отримати відповідні інженерні формули для розрахунків силового режиму процесів холодного видавлювання трикутної або трапецеїдальної форми з похилими межами [13][14][15].…”

Analysis of power parameters of combined three-direction deformation of parts with flange

“…R is the radius of the axial branch piece; k R is the radius of the boundary of the deformation centers forming the axial branch piece and flange; β is the chamfer angle of the lower die; k l , f Ris the parameters of the lower die defining the chamfer of an axial branch piece (see Fig.4).The power of forces and the unit deformation pressure for the module 8 were calculated by the formulas[26][27][28]:…”