Abstract
In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation.Aso-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.
| Original language | English |
|---|---|
| Pages (from-to) | 679-701 |
| Number of pages | 23 |
| Journal | Computational Mechanics |
| Volume | 46 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2010 Oct 1 |
| Externally published | Yes |
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Keywords
- Finite element method
- Node-based smoothed
- Plate bending
- Transverse shear locking
ASJC Scopus subject areas
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Applied Mathematics
- Computational Mathematics
Cite this
A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. / Nguyen-Xuan, H.; Rabczuk, Timon; Nguyen-Thanh, N.; Nguyen-Thoi, T.; Bordas, S.
In: Computational Mechanics, Vol. 46, No. 5, 01.10.2010, p. 679-701.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates
AU - Nguyen-Xuan, H.
AU - Rabczuk, Timon
AU - Nguyen-Thanh, N.
AU - Nguyen-Thoi, T.
AU - Bordas, S.
PY - 2010/10/1
Y1 - 2010/10/1
N2 - In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation.Aso-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.
AB - In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation.Aso-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.
KW - Finite element method
KW - Node-based smoothed
KW - Plate bending
KW - Transverse shear locking
UR - http://www.scopus.com/inward/record.url?scp=77954957345&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77954957345&partnerID=8YFLogxK
U2 - 10.1007/s00466-010-0509-x
DO - 10.1007/s00466-010-0509-x
M3 - Article
VL - 46
SP - 679
EP - 701
JO - Computational Mechanics
JF - Computational Mechanics
SN - 0178-7675
IS - 5
ER -