Abstract
In the paper classic problem of axisymmetrical extrusion through a conical die is investigated. New results concerning behaviour of the plastic flow field in the neighbourhood of the maximal shear stress surface are introduced to improve description of the dead zone formation. As a result, a modified mathematical model of the process is presented. Basing on in the problem of the dead zone shape determination is investigated by using the Upper Bound Method. It is shown that the proposed model leads to the better evaluation of the extrusion pressure in comparison with other radial kinematicaly admissible velocity fields (without taking into account singular behaviour of the strain rate). Through investigations the phenomenon of friction along the boundary tool-metal has been taken into consideration. The another problem presented in the paper is investigation of the assumptions concerning determination of the angle between the tangent to a plastic zone boundary and the symmetry axis (indicator of shape of plastic zone) with respect to the value of extrusion pressure.
Translated title of the contribution | Friction, dead zone and plastic zone in mathematical modelling of the extrusion process. |
---|---|
Original language | Polish |
Pages (from-to) | 575-580 |
Number of pages | 6 |
Journal | Rudy I Metale Nieżelazne |
Volume | 44 |
Issue number | 11 |
Publication status | Published - 22 Nov 1999 |
Externally published | Yes |
Keywords
- Extrusion
- Mathematical Modelling
- Friction
- Dead Zone
- Plastic Zone
- Extrusion Force
- Flow Field