A smoothed finite element method for plate analysis

University of Glasgow, Civil Engineering, Rankine building, G12 8LT, United Kingdom
Computer Methods in Applied Mechanics and Engineering (Impact Factor: 2.63). 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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Available from: Stéphane Pierre Alain Bordas, Aug 06, 2015
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