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Title: A class of upper-bound solutions for the extrusion of square shapes from square billets through curved dies
Authors: Maity, K P
Kar, P K
Das, N S
Keywords: Extrusion
Square shapes
Square billets
Upper-bound analysis
Issue Date: Nov-1996
Publisher: Elsevier
Citation: Journal of Materials Processing Technology, Vol 62, Iss 1-3, P 185-190
Abstract: 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.
Description: Copyright of this article belongs to Elsevier Science Ltd.
Appears in Collections:Journal Articles

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