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.
| Original language | English |
|---|---|
| Pages (from-to) | 287-310 |
| Number of pages | 24 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 90 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2012 Apr 20 |
| Externally published | Yes |
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Keywords
- Finite element method
- Limit analysis
- Node-based smoothed finite element method (NS-FEM)
- Primal-dual algorithm
- Shakedown analysis
- Strain smoothing
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
- Numerical Analysis
Cite this
Computation of limit and shakedown loads using a node-based smoothed finite element method. / Nguyen-Xuan, H.; Rabczuk, Timon; Nguyen-Thoi, T.; Tran, T. N.; Nguyen-Thanh, N.
In: International Journal for Numerical Methods in Engineering, Vol. 90, No. 3, 20.04.2012, p. 287-310.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Computation of limit and shakedown loads using a node-based smoothed finite element method
AU - Nguyen-Xuan, H.
AU - Rabczuk, Timon
AU - Nguyen-Thoi, T.
AU - Tran, T. N.
AU - Nguyen-Thanh, N.
PY - 2012/4/20
Y1 - 2012/4/20
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.
AB - 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 - Finite element method
KW - Limit analysis
KW - Node-based smoothed finite element method (NS-FEM)
KW - Primal-dual algorithm
KW - Shakedown analysis
KW - Strain smoothing
UR - http://www.scopus.com/inward/record.url?scp=84858333992&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84858333992&partnerID=8YFLogxK
U2 - 10.1002/nme.3317
DO - 10.1002/nme.3317
M3 - Article
VL - 90
SP - 287
EP - 310
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 3
ER -