Upper-Bound Solutions of Axisymmetric Forming Problems—II

[+] Author and Article Information
Shiro Kobayashi

Department of Industrial Engineering, University of California, Berkeley, Calif.

J. Eng. Ind 86(4), 326-332 (Nov 01, 1964) (7 pages) doi:10.1115/1.3670551 History: Received July 17, 1963; Online December 08, 2011


The two developments in the upper-bound method are given. These are an extended treatment of the velocity field for outward flow of a cylindrical deforming region, and the introduction of a new velocity field for the flow through conical dies. The upper-bound calculation based on these velocity fields is presented in the examples of compression of a cylinder, wire-drawing, and bar-extrusion.

Copyright © 1964 by ASME
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