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A smoothed finite element method for plate analysis

Nguyen-Xuan, H., Rabczuk, T., Bordas, Stephane Pierre Alain ORCID: and Debongnie, J. F. 2008. A smoothed finite element method for plate analysis. Computer Methods in Applied Mechanics and Engineering 197 (13-16) , pp. 1184-1203. 10.1016/j.cma.2007.10.008

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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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords: Plates; Curvature smoothing; Smooth finite element method; SFEM; Locking-free; Distorted meshes
Publisher: Elsevier
ISSN: 0045-7825
Last Modified: 17 Oct 2022 10:25

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