Reference : A cell - based smoothed finite element method for free vibration and buckling analysi...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/34869
A cell - based smoothed finite element method for free vibration and buckling analysis of shells
English
Thai-Hoang, Chien [Division of Computational Mechanics, Ton Duc Thang University, Hochiminh 70000, Viet Nam]
Nguyen-Thanh, Nhon [Institute of Structural Mechanics, Bauhaus of University, Weimar 99423, Germany]
Nguyen-Xuan, Hung [Dept. of Mechanics, Faculty of Mathematics and Computer Science, University of Science-VNU HCM, Hochiminh, Viet Nam]
Rabczuk, Timon [Institute of Structural Mechanics, Bauhaus of University, Weimar 99423, Germany]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
2011
KSCE Journal of Civil Engineering
15
2
347-361
Yes
International
12267988
[en] Buckling ; Finite element method ; Flat shell element ; Free vibration ; Smoothed finite element method ; Transverse shear locking ; Buckling analysis ; Cell-based ; Computational costs ; Geometrical stiffness ; Gradient smoothing ; Mindlin ; MITC4 elements ; Mixed interpolations ; Natural coordinates ; Numerical results ; Numerical solution ; Shell element ; Interpolation ; Shells (structures) ; Stiffness ; Stiffness matrix ; Vibration analysis
[en] This paper further extends a cell-based smoothed finite element method for free vibration and buckling analysis of shells. A four-node quadrilateral Mindlin-Reissner shell element with a gradient smoothing operator is adopted. The membrane-bending and geometrical stiffness matrices are computed along the boundaries of the smoothing cells while the shear stiffness matrix is calculated by an independent interpolation in the natural coordinates as in the MITC4 (the Mixed Interpolation of Tensorial Components) element. Various numerical results are compared with existing exact and numerical solutions and they are in good agreement. The advantage of the present formulation is that it retains higher accurate than the MITC4 element even for heavily distorted meshes without increasing the computational cost. © 2011 Korean Society of Civil Engineers and Springer-Verlag Berlin Heidelberg.
Vietnam National Foundation for Science and Technology Development (NAFOSTED; Grant No. 107.02- 2010.05)
http://hdl.handle.net/10993/34869
10.1007/s12205-011-1092-1

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