Several methods were proposed in recent years that allow the efficient calculation of elastic and elastic-plastic shakedown limits. This paper establishes a uniform framework for such methods that are based on perfectly-plastic material behavior, and demonstrates the connection to Melan's theorem of elastic shakedown. The paper discusses implications for simplified methods of establishing shakedown, such as those used in the ASME Code. The framework allows a clearer assessment of the limitations of such simplified approaches. Application examples are given.
Lower Bound Methods in Elastic-Plastic Shakedown Analysis
Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received September 27, 2012; final manuscript received August 29, 2013; published online January 7, 2014. Assoc. Editor: Haofeng Chen.
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Reinhardt, W., and Adibi-Asl, R. (January 7, 2014). "Lower Bound Methods in Elastic-Plastic Shakedown Analysis." ASME. J. Pressure Vessel Technol. April 2014; 136(2): 021201. https://doi.org/10.1115/1.4025941
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