The paper reports on recent progress in numerical shakedown and limit analysis based on Melan's lower bound shakedown theorem. After explaining the theoretical foundations of their approach, the authors describe in detail the numerical scheme, in particular the underlying optimization via interior point methods. Numerous examples mostly related to pressure vessel technology are presented, illustrating the potential of the method.
Progress in Lower Bound Direct Methods
Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 31, 2014; final manuscript received January 14, 2015; published online March 23, 2015. Assoc. Editor: Albert E. Segall.
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Weichert, D., Hachemi, A., and Simon, J. (June 1, 2015). "Progress in Lower Bound Direct Methods." ASME. J. Pressure Vessel Technol. June 2015; 137(3): 031005. https://doi.org/10.1115/1.4029618
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