Shakedown is a cyclic phenomenon, and for its analysis it seems natural to employ a cyclic analysis method. Two problems are associated when this direct approach is used in finite element analysis. First, the analysis typically needs to be stabilized over several cycles, and the analysis of each individual cycle may need a considerable amount of computing time. Second, even in cases where a stable cycle is known to exist, the finite element analysis can show a small continuing amount of strain accumulation. For elastic shakedown, noncyclic analysis methods that use Melan’s theorem have been proposed. The present paper extends noncyclic lower bound methods to the analysis of plastic shakedown. The proposed method is demonstrated with several example problems.
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August 2008
Research Papers
A Noncyclic Method for Plastic Shakedown Analysis
W. Reinhardt
W. Reinhardt
Babcock & Wilcox Canada
, 581 Coronation Boulevard, Cambridge, ON, N1R 5V3, Canada
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W. Reinhardt
Babcock & Wilcox Canada
, 581 Coronation Boulevard, Cambridge, ON, N1R 5V3, CanadaJ. Pressure Vessel Technol. Aug 2008, 130(3): 031209 (6 pages)
Published Online: July 23, 2008
Article history
Received:
March 22, 2006
Revised:
January 18, 2007
Published:
July 23, 2008
Citation
Reinhardt, W. (July 23, 2008). "A Noncyclic Method for Plastic Shakedown Analysis." ASME. J. Pressure Vessel Technol. August 2008; 130(3): 031209. https://doi.org/10.1115/1.2937760
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