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

2021 ◽  
pp. 2-7 ◽  
Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva
Keyword(s):  
Plastic Deformation ◽  
Stress State ◽  
Plastic Flow ◽  
Mathematical Analysis ◽  
Plastic Region ◽  
Conical Surface ◽  
Flat Part ◽  
The Future ◽  
Stress States ◽  
Conical Bottom

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.

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

2021 ◽  
pp. 8-13 ◽  
Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Mathematical Analysis ◽  
Flat Surface ◽  
Technological Parameters ◽  
The Future ◽  
Stress States ◽  
Conical Bottom

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.

COMBINED EXTRUSION OF GLASSES WITH A CONICAL BOTTOM. KINEMATIC AND STRESS STATES OF A CYLINDRICAL PLASTIC REGION LOCATED UNDER THE FORMING GLASS WALL

2021 ◽  
pp. 13-18 ◽  
Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva
Keyword(s):  
Plastic Deformation ◽  
Stress State ◽  
Plastic Flow ◽  
Plastic Region ◽  
Glass Wall ◽  
Cylindrical Section ◽  
The Matrix ◽  
Stress States ◽  
Conical Bottom

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.

COMBINED EXTRUSION OF GLASSES WITH A CONICAL BOTTOM. MECHANICAL AND MATHEMATICAL ANALYSIS OF THE FOURTH AND FIFTH VARIANTS OF THE PROCESS

2021 ◽  
pp. 2-12 ◽  
Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Mathematical Analysis ◽  
Mathematical Study ◽  
Successful Design ◽  
Conical Bottom

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.

COMBINED EXTRUSION OF GLASSES WITH A CONICAL BOTTOM. MECHANICAL AND MATHEMATICAL ANALYSIS OF THREE OPTIONS FOR THE PROCESS

2021 ◽  
pp. 15-20
Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Mathematical Analysis ◽  
Mathematical Study ◽  
Successful Design ◽  
Conical Bottom

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.

COMBINED EXTRUSION OF GLASSES WITH A CONICAL BOTTOM. KINEMATIC AND STRESS STATES OF THE PLASTIC REGION IN CONTACT WITH THE CONICAL SURFACE OF THE MATRIX

2021 ◽  
pp. 19-24 ◽  
Author(s):  
A. L. Vorontsov ◽  
D. A. Lebedeva
Keyword(s):  
Plastic Region ◽  
Conical Surface ◽  
Maximum Pressure ◽  
Plastic Deformation Zone ◽  
Glass Wall ◽  
Matrix Strength ◽  
The Matrix ◽  
Cylindrical Region ◽  
Stress States ◽  
Conical Bottom

For the 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 zone in contact with the conical surface of the matrix were determined. The results are combined with the results obtained earlier for the cylindrical region located under the forming glass wall. The resulting formulas will be used to determine the stress state in the areas of the focus located under the end of the punch. The derived formula for the maximum pressure on the matrix wall is necessary for calculating the matrix strength and making an informed decision about the need for its banding.

scholarly journals A Study of Yielding and Plasticity of Rapid Prototyped ABS

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1495
Author(s):  
Dan-Andrei Șerban ◽  
Cosmin Marșavina ◽  
Alexandru Viorel Coșa ◽  
George Belgiu ◽  
Radu Negru
Keyword(s):  
Experimental Data ◽  
Stress State ◽  
Plastic Flow ◽  
Plane Stress ◽  
Yield Criterion ◽  
Numerical Analyses ◽  
Flow Potential ◽  
Stress States ◽  
State Configuration

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.

The Influence of Different Stress States on 16MnR Deformation Capacity

2013 ◽  
Vol 716 ◽  
pp. 590-594
Author(s):  
Shi Lei Zhao ◽  
Yi Liang Zhang ◽  
Gong Feng Jiang
Keyword(s):  
Plastic Deformation ◽  
Stress State ◽  
Equivalent Stress ◽  
Great Influence ◽  
Equivalent Strain ◽  
Complex Stress State ◽  
Biaxial Stress ◽  
Deformation Capacity ◽  
Engineering Structures ◽  
Stress States

16MnR is the typical material of pressure equipment which worked under complex stress state in engineering application. In order to be close to the actual combined tension-shearing stress state and explore the relationship of deformation capacity and different stress state, many groups of combined tension-torsion tests on 16MnR specimens were designed and the equivalent stress-strain relation under different stress state was obtained. The concept of stress triaxiaty (TS value) was cited to characterize the different stress state and the result showed different stress states have a great influence on the material plastic deformation capacity, TS value turns larger, the plastic deformation weakened; 16MnR has a strongest plastic deformation capacity in pure torsion; the level of tensile stress had no significant effect on the maximum stress in the biaxial stress state, but has a significant inverse relationship with the maximum equivalent strain .At last, the mathematical relationship between maximum equivalent-strain and stress triaxiaty could be found. If the stress state of one point in the engineering structures is certain, the maximum equivalent-strain can be estimated.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF KINEMATIC AND STRESS STATES IN THE THIRD CENTRAL REGION OF PLASTIC DEFORMATION

2020 ◽  
pp. 20-23 ◽  
Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Central Region ◽  
Bottom Flange ◽  
Direct Extrusion ◽  
The Third ◽  
Stress States ◽  
Theory Of Plastic Flow

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.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF KINEMATIC AND STRESS STATES IN THE SECOND PERIPHERAL REGION OF PLASTIC DEFORMATION

2020 ◽  
pp. 14-19 ◽  
Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Extrusion Process ◽  
Peripheral Region ◽  
Maximum Pressure ◽  
Bottom Flange ◽  
The Matrix ◽  
Stress States ◽  
Theory Of Plastic Flow

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.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF KINEMATIC AND STRESS STATES IN THE FIRST PERIPHERAL REGION OF PLASTIC DEFORMATION

2020 ◽  
pp. 10-13 ◽  
Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Extrusion Process ◽  
Peripheral Region ◽  
Geometric Parameters ◽  
Bottom Flange ◽  
Direct Extrusion ◽  
Stress States ◽  
Theory Of Plastic Flow

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.

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