An enhanced cell-based smoothed finite element method for the analysis of Reissner-Mindlin plate bending problems involving distorted mesh

2013 ◽  
Vol 95 (4) ◽  
pp. 288-312 ◽  
Author(s):  
C. T. Wu ◽  
H. P. Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mindlin Plate ◽  
Plate Bending ◽  
Distorted Mesh ◽  
Smoothed Finite Element Method ◽  
Bending Problems ◽  
Element Method

Coupled Analysis of Structural–Acoustic Problems Using the Cell-Based Smoothed Three-Node Mindlin Plate Element

2016 ◽  
Vol 13 (02) ◽  
pp. 1640007 ◽  
Author(s):  
Z. X. Gong ◽  
Y. B. Chai ◽  
W. Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Solid Mechanics ◽  
Mindlin Plate ◽  
Coupled Analysis ◽  
Plate Element ◽  
Fem Model ◽  
The Face ◽  
Smoothed Finite Element Method ◽  
Element Method

The cell-based smoothed finite element method (CS-FEM) using the original three-node Mindlin plate element (MIN3) has recently established competitive advantages for analysis of solid mechanics problems. The three-node configuration of the MIN3 is achieved from the initial, complete quadratic deflection via ‘continuous’ shear edge constraints. In this paper, the proposed CS-FEM-MIN3 is firstly combined with the face-based smoothed finite element method (FS-FEM) to extend the range of application to analyze acoustic fluid–structure interaction problems. As both the CS-FEM and FS-FEM are based on the linear equations, the coupled method is only effective for linear problems. The cell-based smoothed operations are implemented over the two-dimensional (2D) structure domain discretized by triangular elements, while the face-based operations are implemented over the three-dimensional (3D) fluid domain discretized by tetrahedral elements. The gradient smoothing technique can properly soften the stiffness which is overly stiff in the standard FEM model. As a result, the solution accuracy of the coupled system can be significantly improved. Several superior properties of the coupled CS-FEM-MIN3/FS-FEM model are illustrated through a number of numerical examples.

scholarly journals About the edge-based smoothed finite element method for the Reissner-Mindlin plate-bending problem

2009 ◽  
Vol 31 (2) ◽  
pp. 75-86
Author(s):  
Nguyen Xuan Hung ◽  
Nguyen Thoi Trung
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mindlin Plate ◽  
Stiffness Matrices ◽  
Strain Smoothing ◽  
Smoothed Finite Element Method ◽  
Edge Based ◽  
Discrete Shear Gap ◽  
Transverse Shear Locking ◽  
Element Method

The paper further develops the edge-based smoothed finite element method (ES-FEM) for analysis of Reissner-Mindlin plates using triangular meshes. The bending and shearing stiffness matrices are obtained using strain smoothing technique over the smoothing domains associated with edges of elements. Transverse shear locking can be avoided with help of the discrete shear gap (DSG) method. The numerical examples show that the present ES-FEM-DSG method obtains very accurate results compared to the exact solution and other existing elements.

On an equilibrium finite element method for plate bending problems

CALCOLO ◽  
1980 ◽  
Vol 17 (3) ◽  
pp. 271-291 ◽  
Author(s):  
F. Brezzi ◽  
L. D. Marini ◽  
A. Quarteroni ◽  
P. A. Raviart
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Plate Bending ◽  
Bending Problems ◽  
Element Method

scholarly journals Extension of the scaled boundary finite element method to plate bending problems

PAMM ◽  
2011 ◽  
Vol 11 (1) ◽  
pp. 203-204 ◽  
Author(s):  
Rolf Dieringer ◽  
Jochen Hebel ◽  
Wilfried Becker
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Plate Bending ◽  
Bending Problems ◽  
Scaled Boundary Finite Element ◽  
Element Method
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