A smoothed finite element method for plate analysis

H. Nguyen-Xuan, Timon Rabczuk, Stéphane Bordas, J. F. Debongnie

Research output: Contribution to journalArticlepeer-review

275 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1184-1203
Number of pages20
JournalComputer Methods in Applied Mechanics and Engineering
Issue number13-16
Publication statusPublished - 15 Feb 2008
Externally publishedYes


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