Article

A smoothed finite element method for plate analysis

Division of Computational Mechanics, Department of Mathematics and Informatics, University of Natural Sciences, VNU-HCM, 227 Nguyen Van Cu, Viet Nam; Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand; University of Glasgow, Civil Engineering, Rankine building, G12 8LT, United Kingdom; Division of Manufacturing, University of Liège, Bâtiment B52/3 Chemin des Chevreuils 1, B-4000 Liège 1, Belgium
Computer Methods in Applied Mechanics and Engineering (Impact Factor: 2.62). 02/2008; 197(13-16):1184-1203. DOI: 10.1016/j.cma.2007.10.008

ABSTRACT A quadrilateral element with smoothed curvatures for Mindlin–Reissner plates is proposed. The curvature at each point is obtained by a non-local approximation via a smoothing function. The bending stiffness matrix is calculated by a boundary integral along the boundaries of the smoothing elements (smoothing cells). Numerical results show that the proposed element is robust, computational inexpensive and simultaneously very accurate and free of locking, even for very thin plates. The most promising feature of our elements is their insensitivity to mesh distortion.

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