@article{
 title = {FEM Shakedown of uncertain structures by chance constrained programming},
 type = {article},
 year = {2016},
 pages = {715-716},
 volume = {16},
 websites = {http://doi.wiley.com/10.1002/pamm.201610346},
 month = {10},
 id = {3bbfdc1d-5346-3c7b-b4e5-dfe2c6390ff6},
 created = {2016-10-28T14:53:24.000Z},
 file_attached = {false},
 profile_id = {93ec0d5b-403c-3f87-b702-40b6362f05e6},
 last_modified = {2020-03-12T21:46:59.823Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {true},
 hidden = {false},
 citation_key = {Tran2016},
 private_publication = {false},
 abstract = {We present a new primal-dual numerical algorithm of the shakedown problem under uncertainty in which the material strength is considered as a normally distributed random variable. Using chance constrained programming, we obtain deterministic equivalent formulations based on upper bound and lower bound theorems which are dual to each other. The proposed algorithm is tested in numerical examples which are applied to civil engineering structures. The obtained solutions show good performance.},
 bibtype = {article},
 author = {Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, Hermann G. and Stavroulakis, Georgios Eleftherios and Staat, Manfred},
 doi = {10.1002/pamm.201610346},
 journal = {PAMM · Proceedings in Applied Mathematics and Mechanics},
 number = {1}
}

{"_id":"GrHLFQb8BBgMGuerQ","bibbaseid":"tran-tran-matthies-stavroulakis-staat-femshakedownofuncertainstructuresbychanceconstrainedprogramming-2016","authorIDs":["5dba9b3cdd3901df010000ff","5dbc2e733d8602de01000053","7jhRHDZJ6AgPa9GzF","jhiQiuMkuDQBRuuJ8"],"author_short":["Tran, N., T.","Tran, T., N.","Matthies, H., G.","Stavroulakis, G., E.","Staat, M."],"bibdata":{"title":"FEM Shakedown of uncertain structures by chance constrained programming","type":"article","year":"2016","pages":"715-716","volume":"16","websites":"http://doi.wiley.com/10.1002/pamm.201610346","month":"10","id":"3bbfdc1d-5346-3c7b-b4e5-dfe2c6390ff6","created":"2016-10-28T14:53:24.000Z","file_attached":false,"profile_id":"93ec0d5b-403c-3f87-b702-40b6362f05e6","last_modified":"2020-03-12T21:46:59.823Z","read":false,"starred":false,"authored":"true","confirmed":"true","hidden":false,"citation_key":"Tran2016","private_publication":false,"abstract":"We present a new primal-dual numerical algorithm of the shakedown problem under uncertainty in which the material strength is considered as a normally distributed random variable. Using chance constrained programming, we obtain deterministic equivalent formulations based on upper bound and lower bound theorems which are dual to each other. The proposed algorithm is tested in numerical examples which are applied to civil engineering structures. The obtained solutions show good performance.","bibtype":"article","author":"Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, Hermann G. and Stavroulakis, Georgios Eleftherios and Staat, Manfred","doi":"10.1002/pamm.201610346","journal":"PAMM · Proceedings in Applied Mathematics and Mechanics","number":"1","bibtex":"@article{\n title = {FEM Shakedown of uncertain structures by chance constrained programming},\n type = {article},\n year = {2016},\n pages = {715-716},\n volume = {16},\n websites = {http://doi.wiley.com/10.1002/pamm.201610346},\n month = {10},\n id = {3bbfdc1d-5346-3c7b-b4e5-dfe2c6390ff6},\n created = {2016-10-28T14:53:24.000Z},\n file_attached = {false},\n profile_id = {93ec0d5b-403c-3f87-b702-40b6362f05e6},\n last_modified = {2020-03-12T21:46:59.823Z},\n read = {false},\n starred = {false},\n authored = {true},\n confirmed = {true},\n hidden = {false},\n citation_key = {Tran2016},\n private_publication = {false},\n abstract = {We present a new primal-dual numerical algorithm of the shakedown problem under uncertainty in which the material strength is considered as a normally distributed random variable. Using chance constrained programming, we obtain deterministic equivalent formulations based on upper bound and lower bound theorems which are dual to each other. The proposed algorithm is tested in numerical examples which are applied to civil engineering structures. The obtained solutions show good performance.},\n bibtype = {article},\n author = {Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, Hermann G. and Stavroulakis, Georgios Eleftherios and Staat, Manfred},\n doi = {10.1002/pamm.201610346},\n journal = {PAMM · Proceedings in Applied Mathematics and Mechanics},\n number = {1}\n}","author_short":["Tran, N., T.","Tran, T., N.","Matthies, H., G.","Stavroulakis, G., E.","Staat, M."],"urls":{"Website":"http://doi.wiley.com/10.1002/pamm.201610346"},"biburl":"https://bibbase.org/service/mendeley/93ec0d5b-403c-3f87-b702-40b6362f05e6","bibbaseid":"tran-tran-matthies-stavroulakis-staat-femshakedownofuncertainstructuresbychanceconstrainedprogramming-2016","role":"author","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":"2019-10-31T08:28:44.296Z","downloads":0,"keywords":[],"search_terms":["fem","shakedown","uncertain","structures","chance","constrained","programming","tran","tran","matthies","stavroulakis","staat"],"title":"FEM Shakedown of uncertain structures by chance constrained programming","year":2016,"biburl":"https://bibbase.org/service/mendeley/93ec0d5b-403c-3f87-b702-40b6362f05e6","dataSources":["dAp5WYHoS5SWSKWoa","ya2CyA73rpZseyrZ8","i5FJs3p7i69258A5p","6oZq3hyFvk3yWvfWa"]}