The upper-bound solutions developed in Part 1 are evaluated with regard to their ability to produce a lower value for required power (load, pressure, or work). Comparisons made with existing solutions such as the triangular field solution and one-zone bulge solution show that for strip, each solution has a domain of geometry and friction in which it is superior. The new solution produces a lower upper-bound for conditions of high interface, friction and relatively thin specimen, the area where fold over is the observed mode of flow. For solid cylindrical disks, the solution fails to improve upon existing analyses, but comes sufficiently close to warrant additional study. After evaluation, these solutions were then used in an incremental technique to model the geometry and flow as a function of reduction in height. Results appear most encouraging, and the relative simplicity of the technique when compared with present alternatives is quite attractive. © 1978 ASME.


Materials Science and Engineering

International Standard Serial Number (ISSN)

1528-8935; 1087-1357

Document Type

Article - Journal

Document Version


File Type





© 2023 American Society of Mechanical Engineers, All rights reserved.

Publication Date

01 Jan 1978

Included in

Metallurgy Commons