TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
A1  - Nguyen-Thoi, T.
A1  - Tran, T.
A1  - Nguyen-Thanh, Nhon
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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1002/nme.3317
SP  - 287
EP  - 310
ER  -