Simple Direct Method for Shakedown Analysis of Structures
Publication: Journal of Engineering Mechanics
Volume 121, Issue 2
Abstract
This paper presents a simple direct method for the straightforward determination of steady-state solutions in shakedown analysis of structures subjected to sustained and cyclic loadings. The method is based upon the observation that the difficulty with direct determination of the steady-state solution is the existence of the unknown residual-strain field. However, such a residual-strain field does not affect the incremental analysis from one extreme state to the other extreme state, and thus the incremental solution can be found by solving a regular elastic-plastic problem. Then the steady-state solution can be obtained by an analysis of the steady state with the help of the incremental solution. The two-bar structure and the tube and hollow-sphere problems are solved as examples that show the feasibility and efficiency of this approach.
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Published In
Journal of Engineering Mechanics
Volume 121 • Issue 2 • February 1995
Pages: 309 - 321
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Feb 1, 1995
Published in print: Feb 1995
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