Direct plastic structural design under lognormally distributed strength by chance constrained programming
Optimization and Engineering, 21 (1):
131--157 (2020)DOI: 10.1007/s11081-019-09437-2
Abstract
We propose the so-called chance constrained programming model of stochastic programming 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.