TY  - JOUR
A1  - Nguyen-Xuan, H.
A1  - Rabczuk, T.
A1  - Nguyen-Thoi, T.
A1  - Tran, Thanh Ngoc
A1  - Nguyen-Thanh, N.
T1  - Computation of limit and shakedown loads using a node-based smoothed finite element method
JF  - International Journal for Numerical Methods in Engineering
N2  - 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.
Y1  - 2011
U6  - http://dx.doi.org/10.1002/nme.3317
SN  - 1097-0207
VL  - 90
IS  - 3
SP  - 287
EP  - 310
PB  - Wiley
CY  - Weinheim
ER  - 
TY  - JOUR
A1  - Tran, Thanh Ngoc
A1  - Staat, Manfred
T1  - An Edge-Based Smoothed Finite Element Method for Primal-Dual Shakedown Analysis of Structures Under Uncertainties
JF  - Limit State of Materials and Structures : Direct Methods 2. Saxcé, Géry de (Hrsg.)
Y1  - 2013
SN  - 978-94-007-5424-9
SP  - 89
EP  - 102
PB  - Springer
CY  - Dordrecht
ER  - 
TY  - JOUR
A1  - Pham, Phu Tinh
A1  - Vu, Khoi Duc
A1  - Tran, Thanh Ngoc
A1  - Staat, Manfred
T1  - A primal-dual algorithm for shakedown analysis of elastic-plastic bounded linearly kinematic hardening bodies
Y1  - 2010
N1  - ECCM 2010, IV European Conference on Computational Mechanics, Paris, France, May 16-21, 2010.
SP  - 1
EP  - 7
ER  -