Abstract
An analytical method based on the upper-bound theory is proposed to investigate the three-dimensional off-centric extrusion of arbitrarily shaped sections from arbitrarily shaped billets through linearly converging and smooth curved dies. A set of generalised kinematically admissible velocity fields are derived on the assumption of Bezier-type streamlines that provide compatibility of surface representation with most CAD/CAM systems. To obtain a more realistic non-uniform metal flow, a special velocity function was also incorporated into the derived velocity fields and work hardening effect of the material considered. Based on the method presented, for a given reduction in area, material property, friction condition and off-centric positioning of the exit cross-section, predictions of the deforming grid pattern, curvature of the extruded product as well as upper-bound to the extrusion pressures may be obtained. The above procedure is highlighted and commented upon.
Original language | English (US) |
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Pages (from-to) | 273-294 |
Number of pages | 22 |
Journal | International Journal of Mechanical Sciences |
Volume | 42 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2000 |
Externally published | Yes |
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Aerospace Engineering
- Ocean Engineering
- Applied Mathematics
- General Materials Science
- Civil and Structural Engineering