Upper Bound Solutions to Plane-Strain Extrusion Problems

[+] Author and Article Information
P. C. T. Chen

Maggs Research Center, Watervliet Arsenal, Watervliet, N. Y.

J. Eng. Ind 92(1), 158-164 (Feb 01, 1970) (7 pages) doi:10.1115/1.3427701 History: Received July 01, 1969; Online July 15, 2010


A method for selecting admissible velocity fields is presented for incompressible material. As illustrations, extrusion processes through three basic types of curved dies have been treated: cosine, elliptic, and hyperbolic. Upper-bound theorem is used in obtaining mean extrusion pressures and also in choosing the most suitable deformation pattern for extrusion through square dies. Effects of die geometry, friction, and material properties are discussed.

Copyright © 1970 by ASME
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