COMBINED EXTRUSION OF GLASSES WITH A CONICAL BOTTOM. KINEMATIC AND STRESS STATES OF THE PLASTIC AREA LOCATED UNDER THE CENTRAL FLAT SURFACE OF THE PUNCH

Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva

For extrusion of glasses with a conical bottom using the method of plastic flow by A. L. Vorontsov, the kinematic and stress states of the extruded metal in the area of the plastic deformation center located under the central flat surface of the punch were determined. The formulas for the deforming force and the height of the zone of plastic deformation are obtained. In the future, the results of this mechanical and mathematical analysis will make it possible to formulate a scientifically grounded methodology for calculating the main technological parameters of extrusion of nozzles with a conical bottom, as well as to investigate the issue of the presence of the taper of the punch, which is optimal in strength.

Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva

For extrusion of glasses with a conical bottom using the method of plastic flow by A. L. Vorontsov, the kinematic and stress states of the extruded metal in the area of the plastic deformation center located under the conical surface of the punch were determined. The resulting formulas will be used to determine the stress state in the region of the hearth located under the central flat part of the punch-son՚s working end. In the future, the results of this mechanical and mathematical analysis will also make it possible to investigate the question of the presence of the taper of the punch, which is optimal in terms of strength.


Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva

Using the general methods of A. L. Vorontsov, a mechanical and mathematical study of the fourth and fifth variants of the process of combined extrusion of glasses with a conical bottom was carried out. All necessary design schemes are presented. Calculation formulas have been obtained that make it possible to determine the deformation forces and the magnitude of the plastic deformation areas for each possible variant of the plastic flow of the workpiece metal. These formulas also make it possible to determine which variant of deformation will occur in a particular case, and are necessary for the successful design of this operation. The results of confirming experiments are presented.


Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva

Using the general methods of A. L. Vorontsov, a mechanical and mathematical study of the first three variants of the process of combined extrusion of glasses with a conical bottom was carried out. All necessary design schemes are presented. Calculated formulas have been obtained that make it possible to determine the deformation forces and the magnitude of the plastic deformation areas for each possible variant of the plastic flow of the workpiece metal. These formulas also make it possible to determine which variant of deformation will occur in a particular case, and are necessary for the successful design of this operation.


Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva

For extrusion of glasses with a conical bottom using the method of plastic flow by A. L. Vorontsov, the kinematic and stress states of the extruded metal in the area of the plastic deformation center located under the formed wall of the glass and adjacent to the cylindrical section of the matrix were determined. The resulting formulas will be used to determine the stress state in the areas of the focus located under the punch end.


Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov

Using the theory of plastic flow according to the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of extrusion with a counter-punch of the central region of plastic deformation adjacent to the formed wall of the product.


Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov

Using the theory of plastic flow according to the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of the extrusion process with counter-punch of the peripheral region adjacent to the container with the matrix. The maximum pressure acting on the matrix wall and the height of the peripheral region of plastic deformation are determined.


Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov

Formulas are obtained that relate the current geometric parameters of the extruded blank to the size of the stroke of the punch. Using the theory of plastic flow by the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of the extrusion process with the counter-punch of the peripheral region adjacent to the formed wall of the product.


Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov

Using the theory of plastic flow according to the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of extrusion with the counter-punch of the central region of plastic deformation abutting against the working end face of the counter-punch.


2020 ◽  
Vol 0 (4) ◽  
pp. 43-51
Author(s):  
A. L. Vorontsov ◽  
◽  
I. A. Nikiforov ◽  

Formulae have been obtained that are necessary to calculate cumulative deformation in the process of straitened extrusion in the central area closed to the working end of the counterpunch. The general method of plastic flow proposed by A. L. Vorontsov was used. The obtained formulae allow one to determine the deformed state of a billet in any point of the given area. The formulae should be used to take into account the strengthening of the extruded material.


Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1495
Author(s):  
Dan-Andrei Șerban ◽  
Cosmin Marșavina ◽  
Alexandru Viorel Coșa ◽  
George Belgiu ◽  
Radu Negru

In this article, the yielding and plastic flow of a rapid-prototyped ABS compound was investigated for various plane stress states. The experimental procedures consisted of multiaxial tests performed on an Arcan device on specimens manufactured through photopolymerization. Numerical analyses were employed in order to determine the yield points for each stress state configuration. The results were used for the calibration of the Hosford yield criterion and flow potential. Numerical analyses performed on identical specimen models and test configurations yielded results that are in accordance with the experimental data.


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