TY - CHAP
A1 - Tran, N. T.
A1 - Tran, Thanh Ngoc
A1 - Matthies, M. G.
A1 - Stavroulakis, G. E.
A1 - Staat, Manfred
T1 - Shakedown Analysis Under Stochastic Uncertainty by Chance Constrained Programming
T2 - Advances in Direct Methods for Materials and Structures
N2 - 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.
Y1 - 2017
SN - 978-3-319-59810-9
U6 - http://dx.doi.org/10.1007/978-3-319-59810-9_6
SP - 85
EP - 103
PB - Springer
CY - Cham
ER -