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Free-boundary values in an elastic-plastic torsion problem

โœ Scribed by Tsuan Wu Ting; C. G. Hsiao

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
664 KB
Volume
11
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Hsiao

Consider a cylindrical pipe twisted by terminal couples. For a large twist 0, the elastic-plastic stress function, I)(, 0). is shown to be the positive in the interior of the pipe, an increasing function of 0 and converging to the completely plastic stress function, Y(.), as 0-w. A geometric procedure for constructing $(.)has been developed to provide qualitative information. The main result states that $(, 0 ) = q ( ) on the cross-sectional boundary of the pipe, if 0 is greater than or equal to a certain critical value. In addition, an example has been constructed to give additional insights.

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