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Deformation theory analysis of a dynamically loaded rigid-plastic cantilever

Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, ho...

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Bibliographic Details
Main Author: Liebenberg, Franciscus Xavierius
Other Authors: Martin, J B
Format: Thesis
Language:English
Published: Department of Civil Engineering 2016
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Summary:Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, however, has led to the present study. Professor Ponter queried whether Taya and Mura had indeed extended Hamilton's Principle; it could equally well be interpreted that in the limited applications which they considered they had replaced the usual non-holonomic viscous rigid-plastic relation by a holonomic deformation theory or non-linear elastic relation. This interpretation can be made because Taya and Mura did not consider any applications in which unloading took place.