scholarly journals Application of the invariant plastic flow theory for mathematical modeling of the processes of testing specimens under complex elastic-plastic deformation

2015 ◽  
Vol 14 (3-1) ◽  
pp. 24
Author(s):  
Yu. M. Temis ◽  
D. A. Alkhimov ◽  
A. D. Martynova
Keyword(s):  
Mathematical Modeling ◽  
Plastic Deformation ◽  
Plastic Flow ◽  
Flow Theory ◽  
Elastic Plastic

COMPREHENSIVE INVESTIGATION OF EXTRUSION OF П-SHAPED BRACKETS. REPORT 6. KINEMATIC AND STRESSED STATES OF BLANKET DURING RESTRICTED EXTRUSION. PART 2

2021 ◽  
pp. 38-43
Author(s):  
A. L. Vorontsov ◽  
◽  
S. M. Karpov ◽  
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Plane Deformation ◽  
Flow Theory ◽  
Equation System ◽  
Extrusion Process ◽  
Thick Wall ◽  
Comprehensive Investigation ◽  
Flow Velocities

On the basis of the complete equation system of the plastic flow theory, the solution continuation of the determination problem of the kinematic and stressed states of a blanket during restricted extrusion of П-shaped brackets under conditions of plane deformation in the general case of a nonaligned placement of the punch and the die is stated. The determination of flow velocities and stresses in the area of plastic deformation, located under the punch end near the formed thick wall of the bracket has been carried out. The formulae were obtained, which are required for identification of the main parameters of the extrusion process of П-shaped products with a relatively thin horizontal bridge.

COMPREHENSIVE INVESTIGATION OF EXTRUSION OF П-SHAPED BRACKETS. REPORT 6. KINEMATIC AND STRESSED STATES OF BLANKET DURING RESTRICTED EXTRUSION. PART 1

2021 ◽  
pp. 33-40
Author(s):  
A. L. Vorontsov ◽  
◽  
S. M. Karpov ◽  
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Plane Deformation ◽  
Flow Theory ◽  
Equation System ◽  
Extrusion Process ◽  
Thick Wall ◽  
Comprehensive Investigation ◽  
Flow Velocities

On the basis of the complete equation system of the plastic flow theory, the solution origination of the determination problem of the kinematic and stressed states of a blanket during restricted extrusion of П-shaped brackets under conditions of plane deformation in the general case of a nonaligned placement of a punch and a die is stated. The determination of flow velocities and stresses in the area of plastic deformation, located under a formed thick wall of the bracket has been carried out. The formulae were obtained, which are required for identification of the main parameters of the extrusion process of П-shaped products with a relatively thin horizontal bridge.

The Yield Condition and Flow Rule for a Metal Subjected to Finite Elastic Volume Change

1971 ◽  
Vol 93 (4) ◽  
pp. 708-712 ◽  
Author(s):  
J. B. Haddow ◽  
T. M. Hrudey
Keyword(s):  
Plastic Deformation ◽  
Hydrostatic Pressure ◽  
Plastic Flow ◽  
Volume Change ◽  
High Hydrostatic Pressure ◽  
Elastic Strain ◽  
Yield Condition ◽  
Flow Rule ◽  
Elastic Plastic ◽  
Plastic Flow Rule

A theory for elastic-plastic deformation with finite elastic strain is outlined. The results of this theory are specialized to consider a metal subjected to high hydrostatic pressure which produces finite elastic volume change. Drucker’s postulate is used to obtain the form of the yield condition and the associated plastic flow rule.

Bifurcation in Elastic-Plastic Plates

1978 ◽  
Vol 5 (2) ◽  
pp. 79-88
Author(s):  
R.N. Dubey
Keyword(s):  
Plastic Deformation ◽  
Uniaxial Compression ◽  
Plastic Flow ◽  
Isotropic Material ◽  
Flow Rule ◽  
Material Behaviour ◽  
Incremental Theory ◽  
Elastic Plastic ◽  
Conventional Analysis ◽  
Plastic Flow Rule

It is shown that the isotropic material behaviour assumed in the classical incremental theory has two distinct implications, one for elastic deformation and another one for plastic deformation. This inconsistency has been removed by modifying the plastic-flow rule. The modified constitutive relation is used to calculate bifurcation stress in elastic-plastic plates under uniaxial compression. The bifurcation model used in the analysis is a generalized version of Shanley’s model – here restriction is placed on the amplitude of perturbation as opposed to restriction on the increase or rate of traction imposed in conventional analysis. The bifurcation stress thus obtained is significantly lower than the corresponding stress obtained from the classical incremental theory.

MANUFACTURE INVESTIGATION OF CARTRIDGE WITH BOTTOM-MOST PART FLANGE BY DIRECT EXTRUSION WITH COUNTERPUNCH. REPORT 13. DETERMINATION OF DEFORMED STATE UNDER STRAITENED EXTRUSION IN FOURTH CENTRAL AREA OF PLASTIC DEFORMATION

2020 ◽  
Vol 0 (4) ◽  
pp. 43-51
Author(s):  
A. L. Vorontsov ◽  
◽  
I. A. Nikiforov ◽  
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Central Area ◽  
Direct Extrusion ◽  
Deformed State ◽  
Cumulative Deformation ◽  
The Given ◽  
General Method

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.

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