Reference : A smoothed finite element method for shell analysis
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
A smoothed finite element method for shell analysis
Nguyen-Thanh, N. [Department of Civil Engineering, University of Technology, VNU-HCM, 268 Ly Thuong Kiet, Viet Nam]
Rabczuk, T. [Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch, 8140, New Zealand]
Nguyen-Xuan, H. [Singapore-MIT Alliance (SMA), 4 Engineering Drive 3, Singapore 117576, Singapore]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Computer Methods in Applied Mechanics and Engineering
Yes (verified by ORBilu)
[en] MITC4 elements ; Shell elements ; Smoothed finite elements (SFEM) ; Finite element method ; Interpolation ; Shells (structures) ; Stiffness matrix ; Accurate ; Bending ; Computationally inexpensive ; Interpolation functions ; Locking ; Membrane elements ; Membrane stiffnesses ; Mindlin ; Mixed interpolations ; Natural coordinates ; Numerical examples ; Plate bending ; Reissner theories ; Shell analysis ; Smoothed finite element methods ; Smoothing ; Bending (deformation)
[en] A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples.

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