Abstract
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.
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Trần, N.T., Staat, M. Direct plastic structural design under lognormally distributed strength by chance constrained programming. Optim Eng 21, 131–157 (2020). https://doi.org/10.1007/s11081-019-09437-2
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DOI: https://doi.org/10.1007/s11081-019-09437-2