Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 197, Issue 13-16, Pages 1184-1203Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2007.10.008
Keywords
plates; curvature smoothing; smooth finite element method; SFEM; locking-free; distorted meshes
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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. (c) 2007 Elsevier B.V. All rights reserved.
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