Direct plastic structural design under lognormally distributed strength by chance constrained programming. (English) Zbl 1433.90099

Summary: We propose the so-called chance constrained programming model of stochastic programming theory to analyze limit and shakedown loads of structures under random strength with a lognormal distribution. A dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The edge-based smoothed finite element method (ES-FEM) is used with three-node linear triangular elements.


90C15 Stochastic programming
90B25 Reliability, availability, maintenance, inspection in operations research
90C90 Applications of mathematical programming
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