The Elastic-Plastic and Shakedown Analysis of Tubes Subjected to Sustained and Cyclic Loads
Jiang, Wei
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https://hdl.handle.net/2142/71683
Description
Title
The Elastic-Plastic and Shakedown Analysis of Tubes Subjected to Sustained and Cyclic Loads
Author(s)
Jiang, Wei
Issue Date
1985
Department of Study
Theoretical and Applied Mechanics
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2014-12-16T19:12:35Z
Keyword(s)
Applied Mechanics
Abstract
A study is made in this dissertation of the elastic-plastic and shakedown analysis of tubes subjected to various sustained and cyclic loads and temperatures. The first part of this dissertation gives a general formulation of the tube problem. Exact analytical elastic-plastic solutions are derived and programs are developed at the same time to make the method applicable to engineering practice. The second part of this dissertation deals with various possible responses of the tube, and the steady state solutions are derived for all the possible cases. The classical incremental method is used in the development. While it works, it is, however, seen to be very complicated. Hence, a general direct method for the shakedown analysis is developed in the third part of this dissertation, which permits a straightforward evaluation of the limit state of the structure. With a program to classify the behavior of the tube and with the shakedown solutions derived, the tube problem can be solved with great ease and accuracy. An example is given to illustrate such procedures, and the computational results are compared with those obtained experimentally. It is found that good agreement is achieved, which justifies the method and the constitutive equations used.
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