Mechanical Solutions for Hot Forward Extrusion under Plane Strain Conditions by upper Bound Method

2008 ◽  
pp. 201-208
Author(s):  
R. Domingo ◽  
A.M. Camacho ◽  
E.M. Rubio Alvir ◽  
M.A. Sebastián Pérez
Keyword(s):  
Plane Strain ◽  
Upper Bound ◽  
Upper Bound Method ◽  
Forward Extrusion

Mechanical Solutions for Hot Forward Extrusion under Plane Strain Conditions by upper Bound Method

2008 ◽  
Vol 367 ◽  
pp. 201-208 ◽  
Author(s):  
Rosario Domingo ◽  
A.M. Camacho ◽  
E.M. Rubio Alvir ◽  
M.A. Sebastián
Keyword(s):  
Plane Strain ◽  
Upper Bound ◽  
Analytical Methods ◽  
Mechanical Parameters ◽  
Upper Bound Method ◽  
Zone Length ◽  
Forward Extrusion ◽  
Dead Metal Zone ◽  
Fractional Reduction ◽  
The Dead

This paper present a study focused on hot forward extrusion by upper bound method. In particular, hot forward extrusion of plates through square face dies under plane strain conditions. Slater defines the models used for large fractional reduction. Different models have been taken in account; they are dissimilar in relation to the dead metal zone (if covers or not the entire die face, partially or totally). Triangular rigid patterns of velocity discontinuities have been validated by analytical methods and a range of use for the selected configurations has been established. This methodology has been applied to other process with good results. Thus, the mechanical parameters analysed are fractional reduction, dead metal zone, length die and friction. Finally the calculation of the energy has been achieved by upper bound method. The results allow researching an optimisation of use of upper bound method in hot forward extrusion.

scholarly journals МОДЕЛЮВАННЯ ПРОЦЕСІВ КОМБІНОВАНОГО РАДІАЛЬНО-ПРЯМОГО ВИДАВЛЮВАННЯ СКЛАДНОПРОФІЛЬОВАНИХ ПОРОЖНИСТИХ ДЕТАЛЕЙ ІЗ ВИКОРИСТАННЯМ МЕТОДУ КІНЕМАТИЧНИХ МОДУЛІВ

2021 ◽  
Vol 146 (3) ◽  
pp. 69-78
Author(s):  
Н. С. Грудкіна
Keyword(s):  
Upper Bound ◽  
Defect Formation ◽  
Metal Flow ◽  
Relative Deformation ◽  
Complex Profile ◽  
Upper Bound Method ◽  
Factors Affecting ◽  
Forward Extrusion ◽  
Power Mode ◽  
Mathematical Relationships

Expanding the capabilities of the kinematic modules method to determine the value of the relative deformation pressure and shaping of a semi-finished product in the processes of combined radial-forward extrusion such as hollow parts with a complex profile. Obtaining calculated dependencies that will allow predicting compliance with the required dimensions of the part and assessing the possibility of defect formation. Upper bound method based on the method of kinematic modules is defined investigation of the main factors, affecting the power mode of deformation and features in the shaping of a semi-finished product in the processes of combined extrusion with several degrees of metal flow freedom Based on the upper bound method by using a kinematic module with two degrees of metal flow freedom is determined the value of the relative deformation pressure for make scheme of combined radial-forward extrusion such as hollow parts with a complex profile. The dependences of the increments in the semi-finished product that make it possible to analyze the influence of technological factors in the process of shaping and possible defect formation in the form of dimple are determined. The possibilities of the upper bound method by using kinematic modules with several degrees of metal flow freedom to assess the power mode and shaping of a semi-finished product in the processes of combined extrusion are determined. Significant influence of friction conditions and geometric parameters of the process the appearance of dimple in combined radial-forward extrusion such as hollow parts with a complex profile are considered. Mathematical relationships for calculating the value of the relative deformation pressure and increments of the semi-finished product in combined radial-forward extrusion such as hollow parts with a complex profile that will contribute to a more active introduction of combined extrusion processes in production are determined.

Mechanical solutions for drawing processes under plane strain conditions by the upper bound method

2003 ◽  
Vol 143-144 ◽  
pp. 539-545 ◽  
Author(s):  
E.M Rubio Alvir ◽  
M.A Sebastián Pérez ◽  
A Sanz Lobera
Keyword(s):  
Plane Strain ◽  
Upper Bound ◽  
Upper Bound Method

Radial Flow Velocity Field for Predicting Upper-Bound Solutions for Plane Strain Extrusion

1968 ◽  
Vol 90 (1) ◽  
pp. 45-50
Author(s):  
R. G. Fenton
Keyword(s):  
Velocity Field ◽  
Flow Field ◽  
Flow Velocity ◽  
Plane Strain ◽  
Upper Bound ◽  
Radial Flow ◽  
Flow Velocity Field ◽  
Wide Range ◽  
Ram Pressure ◽  
Considerable Range

The upper bound of the average ram pressure, based on an assumed radial flow velocity field, is derived for plane strain extrusion. Ram pressures are calculated for a complete range of reduction ratios and die angles, considering a wide range of frictional conditions. Results are compared with upper-bound ram pressures obtained by considering velocity fields other than the radial flow field, and it is shown that for a considerable range of reduction ratios and die angles, the radial flow field yields better upper bounds for the average ram pressure.

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