It is shown that the extended variational theorem of Mura et al. (1965, “Extended Theorems of Limit Analysis,” Q. Appl. Math., 23(2), pp. 171–179) can be applied to structures subjected to more than one load and be used to compute lower bound limit load multipliers. In particular, the multiplier proposed by Simha and Adibi-Asl (2011, “Lower Bound Limit Load Estimation Using a Linear Elastic Analysis,” ASME J. Pressure Vessel Technol., 134(2), p. 021207), which can be computed using an elastic stress field, is shown to be a lower bound. Furthermore, it is demonstrated that lower bound limit load for cracked structures may also be computed using a subvolume selection method. No iterations or elastic modulus adjustment are required. Several analytical and numerical examples that illustrate the procedure are presented.
Estimating Lower Bound Limit Loads for Structures Subjected to Multiple Loads
Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received January 15, 2014; final manuscript received February 6, 2015; published online February 23, 2015. Assoc. Editor: Albert E. Segall.
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Hari Manoj Simha, C., and Adibi-Asl, R. (August 1, 2015). "Estimating Lower Bound Limit Loads for Structures Subjected to Multiple Loads." ASME. J. Pressure Vessel Technol. August 2015; 137(4): 041205. https://doi.org/10.1115/1.4029793
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