%0 Journal Article %1 Tran2020 %A Trần, Ngọc Trình %A Staat, Manfred %D 2020 %J Optimization and Engineering %K analysis,primal analysis,stochastic chance constrained dual programming,limit programming,shakedown programming,structural reliability %N 1 %P 131--157 %R 10.1007/s11081-019-09437-2 %T Direct plastic structural design under lognormally distributed strength by chance constrained programming %U http://link.springer.com/10.1007/s11081-019-09437-2 https://rdcu.be/bxiaz %V 21 %X 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.

@article{Tran2020, 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.}, added-at = {2022-03-22T23:17:08.000+0100}, author = {Trần, Ngọc Tr{\`{i}}nh and Staat, Manfred}, biburl = {https://www.bibsonomy.org/bibtex/21476913f9af2f727d7faa8e388c25141/staat}, doi = {10.1007/s11081-019-09437-2}, interhash = {a2e1ce926d5e42e61287c3cf2edf3b95}, intrahash = {1476913f9af2f727d7faa8e388c25141}, issn = {1389-4420}, journal = {Optimization and Engineering}, keywords = {analysis,primal analysis,stochastic chance constrained dual programming,limit programming,shakedown programming,structural reliability}, number = 1, pages = {131--157}, timestamp = {2022-03-22T23:17:08.000+0100}, title = {{Direct plastic structural design under lognormally distributed strength by chance constrained programming}}, url = {http://link.springer.com/10.1007/s11081-019-09437-2 https://rdcu.be/bxiaz}, volume = 21, year = 2020 }