@inproceedings{TranTranMatthiesetal.2016, author = {Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, Hermann G. and Stavroulakis, Georgios Eleftherios and Staat, Manfred}, title = {FEM Shakedown of uncertain structures by chance constrained programming}, series = {PAMM Proceedings in Applied Mathematics and Mechanics}, volume = {16}, booktitle = {PAMM Proceedings in Applied Mathematics and Mechanics}, number = {1}, issn = {1617-7061}, doi = {10.1002/pamm.201610346}, pages = {715 -- 716}, year = {2016}, language = {en} } @inproceedings{TranTranMatthiesetal.2016, author = {Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, H. G. and Stavroulakis, G. E. and Staat, Manfred}, title = {Shakedown analysis of plate bending analysis under stochastic uncertainty by chance constrained programming}, series = {ECCOMAS Congress 2016, VII European Congress on Computational Methods in Applied Sciences and Engineering. Crete Island, Greece, 5-10 June 2016}, booktitle = {ECCOMAS Congress 2016, VII European Congress on Computational Methods in Applied Sciences and Engineering. Crete Island, Greece, 5-10 June 2016}, editor = {Papadrakakis, M.}, pages = {13 S.}, year = {2016}, language = {en} } @article{NguyenXuanRabczukNguyenThoietal.2011, author = {Nguyen-Xuan, H. and Rabczuk, T. and Nguyen-Thoi, T. and Tran, Thanh Ngoc and Nguyen-Thanh, N.}, title = {Computation of limit and shakedown loads using a node-based smoothed finite element method}, series = {International Journal for Numerical Methods in Engineering}, volume = {90}, journal = {International Journal for Numerical Methods in Engineering}, number = {3}, publisher = {Wiley}, address = {Weinheim}, issn = {1097-0207}, doi = {10.1002/nme.3317}, pages = {287 -- 310}, year = {2011}, abstract = {This paper presents a novel numerical procedure for computing limit and shakedown loads of structures using a node-based smoothed FEM in combination with a primal-dual algorithm. An associated primal-dual form based on the von Mises yield criterion is adopted. The primal-dual algorithm together with a Newton-like iteration are then used to solve this associated primal-dual form to determine simultaneously both approximate upper and quasi-lower bounds of the plastic collapse limit and the shakedown limit. The present formulation uses only linear approximations and its implementation into finite element programs is quite simple. Several numerical examples are given to show the reliability, accuracy, and generality of the present formulation compared with other available methods.}, language = {en} } @incollection{TranTranMatthiesetal.2017, author = {Tran, N. T. and Tran, Thanh Ngoc and Matthies, M. G. and Stavroulakis, G. E. and Staat, Manfred}, title = {Shakedown Analysis Under Stochastic Uncertainty by Chance Constrained Programming}, series = {Advances in Direct Methods for Materials and Structures}, booktitle = {Advances in Direct Methods for Materials and Structures}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-59810-9}, doi = {10.1007/978-3-319-59810-9_6}, pages = {85 -- 103}, year = {2017}, abstract = {In this paper we propose a stochastic programming method to analyse limit and shakedown of structures under uncertainty condition of strength. Based on the duality theory, the shakedown load multiplier formulated by the kinematic theorem is proved actually to be the dual form of the shakedown load multiplier formulated by static theorem. In this investigation 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) with three-node linear triangular elements is used for structural analysis.}, language = {en} } @article{TranKreissigVuetal.2008, author = {Tran, Thanh Ngoc and Kreißig, R. and Vu, Duc Khoi and Staat, Manfred}, title = {Upper bound limit and shakedown analysis of shells using the exact Ilyushin yield surface}, series = {Computer \& Structures. 86 (2008)}, journal = {Computer \& Structures. 86 (2008)}, isbn = {0045-7949}, pages = {1683 -- 1695}, year = {2008}, language = {en} } @article{StaatTranKreissig2008, author = {Staat, Manfred and Tran, Thanh Ngoc and Kreißig, R.}, title = {Load bearing capacity of thin shell structures made of elastoplastic material by direct methods}, series = {Technische Mechanik. 28 (2008), H. 3-4}, journal = {Technische Mechanik. 28 (2008), H. 3-4}, pages = {299 -- 309}, year = {2008}, language = {en} } @article{TranKreissigStaat2009, author = {Tran, Thanh Ngoc and Kreißig, R. and Staat, Manfred}, title = {Probabilistic limit and shakedown analysis of thin plates and shells}, series = {Structural safety. 31 (2009), H. 1}, journal = {Structural safety. 31 (2009), H. 1}, publisher = {-}, isbn = {0167-4730}, pages = {1 -- 18}, year = {2009}, language = {en} } @article{TranPhamVuetal.2009, author = {Tran, Thanh Ngoc and Pham, Phu Tinh and Vu, D. K. and Staat, Manfred}, title = {Reliability Analysis of Inelastic Shell Structures Under Variable Loads}, series = {Limit States of Materials and Structures : Direct Methods / Hrsg. Dieter Weichert; Hrsg. Alan Ponter}, journal = {Limit States of Materials and Structures : Direct Methods / Hrsg. Dieter Weichert; Hrsg. Alan Ponter}, publisher = {Springer Netherland}, address = {Berlin}, isbn = {978-1-4020-9633-4}, pages = {135 -- 156}, year = {2009}, language = {en} } @article{PhamVuTranetal.2010, author = {Pham, Phu Tinh and Vu, Khoi Duc and Tran, Thanh Ngoc and Staat, Manfred}, title = {A primal-dual algorithm for shakedown analysis of elastic-plastic bounded linearly kinematic hardening bodies}, pages = {1 -- 7}, year = {2010}, language = {en} } @article{TranStaat2010, author = {Tran, Thanh Ngoc and Staat, Manfred}, title = {Shakedown analysis of two dimensional structures by an edge-based smoothed finite element method}, pages = {1 -- 7}, year = {2010}, language = {en} }