@article{
 title = {Direct plastic structural design under lognormally distributed strength by chance constrained programming},
 type = {article},
 year = {2020},
 keywords = {chance constrained programming,limit analysis,primal dual programming,shakedown analysis,stochastic programming,structural reliability},
 pages = {131-157},
 volume = {21},
 websites = {http://link.springer.com/10.1007/s11081-019-09437-2,https://rdcu.be/bxiaz},
 id = {6f0ba919-3796-3b2a-afcf-ff1d77357145},
 created = {2019-04-04T06:55:43.054Z},
 file_attached = {false},
 profile_id = {93ec0d5b-403c-3f87-b702-40b6362f05e6},
 last_modified = {2020-01-23T18:12:53.224Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {true},
 hidden = {false},
 citation_key = {Tran2020},
 private_publication = {false},
 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.},
 bibtype = {article},
 author = {Trần, Ngọc Trình and Staat, Manfred},
 doi = {10.1007/s11081-019-09437-2},
 journal = {Optimization and Engineering},
 number = {1}
}

{"_id":"nNuYEHb5BaC5wzwfB","bibbaseid":"trn-staat-directplasticstructuraldesignunderlognormallydistributedstrengthbychanceconstrainedprogramming-2020","authorIDs":["7jhRHDZJ6AgPa9GzF","jhiQiuMkuDQBRuuJ8"],"author_short":["Trần, N., T.","Staat, M."],"bibdata":{"title":"Direct plastic structural design under lognormally distributed strength by chance constrained programming","type":"article","year":"2020","keywords":"chance constrained programming,limit analysis,primal dual programming,shakedown analysis,stochastic programming,structural reliability","pages":"131-157","volume":"21","websites":"http://link.springer.com/10.1007/s11081-019-09437-2,https://rdcu.be/bxiaz","id":"6f0ba919-3796-3b2a-afcf-ff1d77357145","created":"2019-04-04T06:55:43.054Z","file_attached":false,"profile_id":"93ec0d5b-403c-3f87-b702-40b6362f05e6","last_modified":"2020-01-23T18:12:53.224Z","read":false,"starred":false,"authored":"true","confirmed":"true","hidden":false,"citation_key":"Tran2020","private_publication":false,"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.","bibtype":"article","author":"Trần, Ngọc Trình and Staat, Manfred","doi":"10.1007/s11081-019-09437-2","journal":"Optimization and Engineering","number":"1","bibtex":"@article{\n title = {Direct plastic structural design under lognormally distributed strength by chance constrained programming},\n type = {article},\n year = {2020},\n keywords = {chance constrained programming,limit analysis,primal dual programming,shakedown analysis,stochastic programming,structural reliability},\n pages = {131-157},\n volume = {21},\n websites = {http://link.springer.com/10.1007/s11081-019-09437-2,https://rdcu.be/bxiaz},\n id = {6f0ba919-3796-3b2a-afcf-ff1d77357145},\n created = {2019-04-04T06:55:43.054Z},\n file_attached = {false},\n profile_id = {93ec0d5b-403c-3f87-b702-40b6362f05e6},\n last_modified = {2020-01-23T18:12:53.224Z},\n read = {false},\n starred = {false},\n authored = {true},\n confirmed = {true},\n hidden = {false},\n citation_key = {Tran2020},\n private_publication = {false},\n 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.},\n bibtype = {article},\n author = {Trần, Ngọc Trình and Staat, Manfred},\n doi = {10.1007/s11081-019-09437-2},\n journal = {Optimization and Engineering},\n number = {1}\n}","author_short":["Trần, N., T.","Staat, M."],"urls":{"Website":"http://link.springer.com/10.1007/s11081-019-09437-2,https://rdcu.be/bxiaz"},"biburl":"https://bibbase.org/service/mendeley/93ec0d5b-403c-3f87-b702-40b6362f05e6","bibbaseid":"trn-staat-directplasticstructuraldesignunderlognormallydistributedstrengthbychanceconstrainedprogramming-2020","role":"author","keyword":["chance constrained programming","limit analysis","primal dual programming","shakedown analysis","stochastic programming","structural reliability"],"metadata":{"authorlinks":{"staat, m":"https://bibbase.org/show?bib=https%3A%2F%2Fapi.zotero.org%2Fusers%2F6114608%2Fcollections%2FTJTBXR6Y%2Fitems%3Fkey%3DqbBfhA5sX7Oco1IT48KAsV2v%26format%3Dbibtex%26limit%3D100&msg=embed","staat, m":"https://bibbase.org/service/mendeley/93ec0d5b-403c-3f87-b702-40b6362f05e6"}},"downloads":0},"bibtype":"article","creationDate":"2020-08-07T13:48:41.887Z","downloads":0,"keywords":["chance constrained programming","limit analysis","primal dual programming","shakedown analysis","stochastic programming","structural reliability"],"search_terms":["direct","plastic","structural","design","under","lognormally","distributed","strength","chance","constrained","programming","trần","staat"],"title":"Direct plastic structural design under lognormally distributed strength by chance constrained programming","year":2020,"biburl":"https://bibbase.org/service/mendeley/93ec0d5b-403c-3f87-b702-40b6362f05e6","dataSources":["dAp5WYHoS5SWSKWoa","ya2CyA73rpZseyrZ8","6oZq3hyFvk3yWvfWa","i5FJs3p7i69258A5p"]}