Edge-Based Smoothed Three-Node Mindlin Plate Element

2016 ◽  
Vol 142 (9) ◽  
pp. 04016055 ◽  
Author(s):  
Wei Li ◽  
Xiangyu You ◽  
Yingbin Chai ◽  
Tianyun Li
2014 ◽  
Vol 18 (4) ◽  
pp. 1072-1082 ◽  
Author(s):  
T. Nguyen-Thoi ◽  
T. Bui-Xuan ◽  
P. Phung-Van ◽  
S. Nguyen-Hoang ◽  
H. Nguyen-Xuan

2018 ◽  
Vol 13 (2) ◽  
pp. 251-272 ◽  
Author(s):  
Nhan Nguyen-Minh ◽  
Nha Tran-Van ◽  
Thang Bui-Xuan ◽  
Trung Nguyen-Thoi

2016 ◽  
Vol 13 (02) ◽  
pp. 1640007 ◽  
Author(s):  
Z. X. Gong ◽  
Y. B. Chai ◽  
W. Li

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.


2017 ◽  
Vol 14 (02) ◽  
pp. 1750011 ◽  
Author(s):  
T. Nguyen-Thoi ◽  
T. Rabczuk ◽  
V. Ho-Huu ◽  
L. Le-Anh ◽  
H. Dang-Trung ◽  
...  

A cell-based smoothed three-node Mindlin plate element (CS-MIN3) was recently proposed and proven to be robust for static and free vibration analyses of Mindlin plates. The method improves significantly the accuracy of the solution due to softening effect of the cell-based strain smoothing technique. In addition, it is very flexible to apply for arbitrary complicated geometric domains due to using only three-node triangular elements which can be easily generated automatically. However so far, the CS-MIN3 has been only developed for isotropic material and for analyzing intact structures without possessing internal cracks. The paper hence tries to extend the CS-MIN3 by integrating itself with functionally graded material (FGM) and enriched functions of the extended finite element method (XFEM) to give a so-called extended cell-based smoothed three-node Mindlin plate (XCS-MIN3) for free vibration analysis of cracked FGM plates. Three numerical examples with different conditions are solved and compared with previous published results to illustrate the accuracy and reliability of the XCS-MIN3 for free vibration analysis of cracked FGM plates.


2007 ◽  
Vol 29 (1) ◽  
pp. 13-24 ◽  
Author(s):  
Nguyen Xuan Hung ◽  
Ngo Thanh Phong

A quadrilateral element with smoothed curvatures for Reissner-Mindlin structure plates is proposed. A curvature matrix at an arbitrary point is normalized by a non-local approximation over a smoothing function. By choosing a constant smoothed function and applying the divergence theorem, the bending stiffness matrix calculated on boundaries of smoothing elements (smoothing cells) instead of on their interior. Several numerical results are analyzed to demonstrate high reliability and free locking of the proposed method.


Author(s):  
Z. Y. Tay ◽  
C. M. Wang

Presented herein are the hydroelastic responses of two large box-like floating modules that are placed adjacent to each other. These two floating modules form the floating fuel storage facility (FFSF). Owing to the small draft when compared to the length dimensions, the zero-draft assumption is commonly adopted in the modeling of very large floating structures (VLFS) as plates for hydroelastic analysis. However, such an assumption is not applicable to the considered floating modules since the effect of draft on the hydroelastic response is significant when the modules are loaded with fuel. A numerical model taking into account the draft effect is hence developed in order to predict correctly the hydroelastic response and hydrodynamic interactions of floating storage modules placed side-by-side. The floating storage modules are modeled as plates where an improved Mindlin plate element, developed by coupling the reduced integration method and the additional non-conforming modes, is used. Such a plate element does not exhibit spurious modes and shear locking phenomena, thereby making it applicable to both thin and thick plate models. Furthermore, the Mindlin plate theory predicts better stress resultants as compared with its Kirchhoff plate counterpart. The linear wave theory is used to model the water waves. The wave-induced deflections obtained from the numerical model are validated by experimental tests.


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