On the determination of a velocity field for a perfectly plastic flow: The case of the general plane problem

2001 ◽  
Vol 46 (8) ◽  
pp. 596-601 ◽  
Author(s):  
D. D. Ivlev ◽  
L. A. Maksimova ◽  
R. I. Nepershin
Keyword(s):  
Velocity Field ◽  
Plastic Flow ◽  
Plane Problem ◽  
Perfectly Plastic ◽  
General Plane

Determination of Chip Velocity Field in Metal Cutting

2009 ◽  
Vol 16-19 ◽  
pp. 471-474 ◽  
Author(s):  
Xue Feng Bi ◽  
Gautier List ◽  
G. Sutter ◽  
A. Molinari ◽  
Yong Xian Liu
Keyword(s):  
Velocity Field ◽  
Shear Zone ◽  
Plastic Flow ◽  
Metal Cutting ◽  
Mathematical Expression ◽  
Shear Plane ◽  
Plane Model ◽  
Crucial Parameter ◽  
Particle Area

Chip velocity is a crucial parameter in metal cutting. The continuous variation of chip velocity in primary shear zone can not be obtained from conventional shear plane model. Therefore a general streamline model was used to investigate the distribution of chip velocity field in metal cutting. This paper also verified the continuity of plastic flow in metal cutting by tracing the variation of particle area. The velocity of chip material was calculated from the mathematical expression of streamline model. The velocity results were compared with conventional shear plane model.

scholarly journals Determination of the limiting state of bodies during separation in the case of the general plane problem

2021 ◽  
Vol 2094 (2) ◽  
pp. 022037
Author(s):  
A N Matveeva ◽  
S V Matveev ◽  
A A Andreeva
Keyword(s):  
Principal Stress ◽  
Plane Problem ◽  
Average Pressure ◽  
Principal Stresses ◽  
Limiting State ◽  
Characteristic Equations ◽  
General Plane ◽  
Limiting Value

Abstract The paper considers the general plane problem of determining the limiting state of bodies during separation. The conditions for reaching the limiting state are considered to depend on the average pressure and the direction of separation. The paper defines the characteristic equations for two cases of separation: equality of two principal stresses to the limiting value of separation and equality of one principal stress to the limiting value of separation. Equations of characteristics’ lines and relations along them are determined.

scholarly journals The limiting state of bodies during separation in the case of the general plane problem

2021 ◽  
pp. 47-55
Author(s):  
Алёна Николаевна Матвеева ◽  
Сергей Владимирович Матвеев
Keyword(s):  
Plane Problem ◽  
Average Pressure ◽  
Limiting State ◽  
Characteristic Equations ◽  
Main Stress ◽  
General Plane ◽  
Limiting Values ◽  
Limiting Value

Работа посвящена решению общей плоской задачи, связанной с определением предельного состояния тел при отрыве. Уравнения, определяющие условия предельного состояния принимаются функциями, зависящими от среднего давления и направлений отрыва. В результате вычислений были получены характеристические уравнения для двух случаев: при достижении предельных значений отрыва двумя главными напряжениями и при достижении предельного значения отрыва одним главным напряжением. Для двух рассмотренных случаев были получены уравнения характеристик и соотношения вдоль них. The work is devoted to the solution of the general plane problem related to the determination of the limiting state of bodies during separation. The equations defining the conditions for the limiting state are taken as functions that depend on the average pressure and directions of separation. As a result of calculations, the characteristic equations were determined for two cases: when the limiting values of separation by two main stresses are reached and when the limiting value of separation by one main stress is reached. For the two considered cases, equations of characteristics and relations along them were obtained.

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.

The electron transport that occurs within wurtzite zinc oxide and the application of stress

MRS Advances ◽  
2017 ◽  
Vol 2 (48) ◽  
pp. 2627-2632 ◽  
Author(s):  
Poppy Siddiqua ◽  
Michael S. Shur ◽  
Stephen K. O’Leary
Keyword(s):  
Monte Carlo ◽  
Zinc Oxide ◽  
Electron Transport ◽  
Velocity Field ◽  
Monte Carlo Simulations ◽  
Significant Role ◽  
Energy Gap ◽  
Device Application ◽  
The Impact

ABSTRACTWe examine how stress has the potential to shape the character of the electron transport that occurs within ZnO. In order to narrow the scope of this analysis, we focus on a determination of the velocity-field characteristics associated with bulk wurtzite ZnO. Monte Carlo simulations of the electron transport are pursued for the purposes of this analysis. Rather than focusing on the impact of stress in of itself, instead we focus on the changes that occur to the energy gap through the application of stress, i.e., energy gap variations provide a proxy for the amount of stress. Our results demonstrate that stress plays a significant role in shaping the form of the velocity-field characteristics associated with ZnO. This dependence could potentially be exploited for device application purposes.

A new approach to the determination of plastic flow stress and failure initiation strain for aluminum alloys cutting process

2014 ◽  
Vol 95 ◽  
pp. 568-578 ◽  
Author(s):  
Guang Chen ◽  
Jun Li ◽  
Yinglun He ◽  
Chengzu Ren
Keyword(s):  
Flow Stress ◽  
Aluminum Alloys ◽  
Plastic Flow ◽  
Cutting Process ◽  
New Approach ◽  
Failure Initiation ◽  
Plastic Flow Stress

Research of stamping of unequal channel bars. Part 3. Force parameters and shape change of the billet when extruding channels. 2. Determination of the extrusion force, maximum pressure on the matrix wall and the heights of the walls, taking into account the elastic deformation jf the matrix

2021 ◽  
pp. 63-69
Author(s):  
A.L. Vorontsov
Keyword(s):  
Plastic Flow ◽  
Elastic Deformation ◽  
Shape Change ◽  
Plane Deformation ◽  
Maximum Pressure ◽  
Extrusion Force ◽  
System Of Equations ◽  
The Matrix ◽  
Theory Of Plastic Flow

On the basis of the system of equations of the theory of plastic flow, the forces, the maximum pressure on the wall of the matrix and the heights of the obtained walls when extruding channels are determined, taking into account the elastic deformation of the matrix. Keywords: die forging, extrusion, misalignment, punch, matrix, plane deformation, stresses. [email protected]

Determination of the velocity field in the rolling of porous materials

1988 ◽  
Vol 27 (5) ◽  
pp. 335-339
Author(s):  
A. M. Musikhin
Keyword(s):  
Velocity Field ◽  
Porous Materials

On the Plastic Flow of Coulomb Solids Beyond Original Failure

1959 ◽  
Vol 26 (4) ◽  
pp. 599-602
Author(s):  
A. W. Jenike ◽  
R. T. Shield
Keyword(s):  
Velocity Field ◽  
Stress Field ◽  
Plastic Flow ◽  
Yield Function ◽  
Two Dimensions ◽  
Rigid Plastic ◽  
Variable Yield ◽  
Angle Of Friction ◽  
Effective Angle

Abstract Principles developed for rigid-plastic solids exhibiting Coulomb’s properties are adapted to the analysis of flow beyond original failure. A variable yield function is proposed to account for the changes of cohesion during flow and equations are evolved for the stress field in two dimensions. It is shown that, while in the stress field an effective angle of friction larger than the actual angle of friction is mandatory for these materials, in the velocity field the materials can be assumed incompressible.

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.

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