Deformation theory analysis of a dynamically loaded rigid-plastic cantilever

Master Thesis

1980

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http://hdl.handle.net/11427/18465
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thesis_ebe_1980_liebenberg_franciscus_xavierius (1).pdf (2.45 MB)
Authors
Liebenberg, Franciscus Xavierius
Supervisors
Martin, J B
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University of Cape Town

Department
Department of Civil Engineering
Faculty
Faculty of Engineering and the Built Environment
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Abstract
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.
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Civil Engineering

Reference:

Liebenberg, F. 1980. Deformation theory analysis of a dynamically loaded rigid-plastic cantilever. University of Cape Town.

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