Context
A class of upper-bound solutions for the extrusion of square shapes from square billets through curved dies
Title:
A class of upper-bound solutions for the extrusion of square shapes from square billets through curved dies
Archive:
Dspace@nitr
Author(s):
Maity, K P
Kar, P K
Das, N S
Kar, P K
Das, N S
Date:
2005-05-19
Abstract:
Copyright of this article belongs to Elsevier Science Ltd.
An upper-bound analysis is proposed for the extrusion of square sections from square billets through curved dies having prescribed profiles. Kinematically-admissible velocity fields for the purpose are derived using the dual-stream-function technique. Analytical results are presented for both frictionless and sticking friction conditions; for the latter situation the die geometry has been optimised with respect to appropriate parameters. It is shown that a cosine-shaped die with zero entry and exit angles yields the lowest extrusion pressure in the absence of friction, whilst the best upper-bound is provided by a straight tapered die under sticking-friction conditions. The internal work of deformation, however, is still found to be minimum for a straight die for frictionless extrusion.
An upper-bound analysis is proposed for the extrusion of square sections from square billets through curved dies having prescribed profiles. Kinematically-admissible velocity fields for the purpose are derived using the dual-stream-function technique. Analytical results are presented for both frictionless and sticking friction conditions; for the latter situation the die geometry has been optimised with respect to appropriate parameters. It is shown that a cosine-shaped die with zero entry and exit angles yields the lowest extrusion pressure in the absence of friction, whilst the best upper-bound is provided by a straight tapered die under sticking-friction conditions. The internal work of deformation, however, is still found to be minimum for a straight die for frictionless extrusion.
Index terms:
Discipline(s):
Extrusion
Subject(s):
Square shapes; Square billets; Upper-bound analysis
Method/Approach:
Coverage:
Publisher:
Elsevier
Contributors:
Source:
Language:
en
Relation:
Type:
Article
Format:
438335 bytes
application/pdf
Copyright Information:
Browse Archive