Direct plastic structural design by chance constrained programming. Trần, N., T., Matthies, H., G., Stavroulakis, G., E., & Staat, M. In Owen, R., de Borst, R., Reese, J., & Pearce, C., editors, 6th European Conference on Computational Mechanics (ECCM 6), 7th European Conference on Computational Fluid Dynamics (ECFD 7), pages 3992-4003, 2018. International Center for Numerical Methods in Engineering (CIMNE) Barcelona, Spain.
Direct plastic structural design by chance constrained programming [pdf]Website  abstract   bibtex   
We propose a stochastic programming method to analyse limit and shakedown of structures under random strength with lognormal distribution. In this investigation a dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit or the shakedown limit. The edge-based smoothed finite element method (ES-FEM) using three-node linear triangular elements is used.

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