@article{tran_direct_2021,
	title = {Direct plastic structural design under random strength and random load by chance constrained programming},
	volume = {85},
	copyright = {All rights reserved},
	issn = {0997-7538},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0997753820304940},
	doi = {10.1016/j.euromechsol.2020.104106},
	abstract = {A new formulation to calculate shakedown limit load of structures under stochastic conditions of strength and loading is developed. Direct structural reliability design is based on the required failure probabilities by chance constrained programming, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem.},
	number = {1},
	journal = {European Journal of Mechanics - A/ Solids},
	author = {Trần, Ngọc Trình and Staat, Manfred},
	month = jan,
	year = {2021},
	note = {ZSCC: NoCitationData[s0]},
	keywords = {chance constrained programming, limit analysis, lower bound, reliability, shakedown analysis, stochastic programming, upper bound},
	pages = {104106},
}

{"_id":"tMqd37gyuyGiaobSq","bibbaseid":"trn-staat-directplasticstructuraldesignunderrandomstrengthandrandomloadbychanceconstrainedprogramming-2021","authorIDs":["7jhRHDZJ6AgPa9GzF","jhiQiuMkuDQBRuuJ8"],"author_short":["Trần, N. T.","Staat, M."],"bibdata":{"bibtype":"article","type":"article","title":"Direct plastic structural design under random strength and random load by chance constrained programming","volume":"85","copyright":"All rights reserved","issn":"0997-7538","url":"https://linkinghub.elsevier.com/retrieve/pii/S0997753820304940","doi":"10.1016/j.euromechsol.2020.104106","abstract":"A new formulation to calculate shakedown limit load of structures under stochastic conditions of strength and loading is developed. Direct structural reliability design is based on the required failure probabilities by chance constrained programming, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem.","number":"1","journal":"European Journal of Mechanics - A/ Solids","author":[{"propositions":[],"lastnames":["Trần"],"firstnames":["Ngọc","Trình"],"suffixes":[]},{"propositions":[],"lastnames":["Staat"],"firstnames":["Manfred"],"suffixes":[]}],"month":"January","year":"2021","note":"ZSCC: NoCitationData[s0]","keywords":"chance constrained programming, limit analysis, lower bound, reliability, shakedown analysis, stochastic programming, upper bound","pages":"104106","bibtex":"@article{tran_direct_2021,\n\ttitle = {Direct plastic structural design under random strength and random load by chance constrained programming},\n\tvolume = {85},\n\tcopyright = {All rights reserved},\n\tissn = {0997-7538},\n\turl = {https://linkinghub.elsevier.com/retrieve/pii/S0997753820304940},\n\tdoi = {10.1016/j.euromechsol.2020.104106},\n\tabstract = {A new formulation to calculate shakedown limit load of structures under stochastic conditions of strength and loading is developed. Direct structural reliability design is based on the required failure probabilities by chance constrained programming, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem.},\n\tnumber = {1},\n\tjournal = {European Journal of Mechanics - A/ Solids},\n\tauthor = {Trần, Ngọc Trình and Staat, Manfred},\n\tmonth = jan,\n\tyear = {2021},\n\tnote = {ZSCC: NoCitationData[s0]},\n\tkeywords = {chance constrained programming, limit analysis, lower bound, reliability, shakedown analysis, stochastic programming, upper bound},\n\tpages = {104106},\n}\n\n","author_short":["Trần, N. T.","Staat, M."],"key":"tran_direct_2021","id":"tran_direct_2021","bibbaseid":"trn-staat-directplasticstructuraldesignunderrandomstrengthandrandomloadbychanceconstrainedprogramming-2021","role":"author","urls":{"Paper":"https://linkinghub.elsevier.com/retrieve/pii/S0997753820304940"},"keyword":["chance constrained programming","limit analysis","lower bound","reliability","shakedown analysis","stochastic programming","upper bound"],"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":"2020-09-10T07:27:12.410Z","downloads":0,"keywords":["chance constrained programming","limit analysis","lower bound","reliability","shakedown analysis","stochastic programming","upper bound"],"search_terms":["direct","plastic","structural","design","under","random","strength","random","load","chance","constrained","programming","trần","staat"],"title":"Direct plastic structural design under random strength and random load by chance constrained programming","year":2021,"biburl":"https://api.zotero.org/users/6114608/collections/TJTBXR6Y/items?key=qbBfhA5sX7Oco1IT48KAsV2v&format=bibtex&limit=100","dataSources":["dAp5WYHoS5SWSKWoa","ya2CyA73rpZseyrZ8","6oZq3hyFvk3yWvfWa","J85Tv7d2C3MXhGnoK","i5FJs3p7i69258A5p","2252seNhipfTmjEBQ"]}