A smoothed finite element method for plate analysis

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

Research output: Contribution to journalArticle

239 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1184-1203
Number of pages20
JournalComputer Methods in Applied Mechanics and Engineering
Volume197
Issue number13-16
DOIs
Publication statusPublished - 2008 Feb 15
Externally publishedYes

Fingerprint

Mindlin plates
Stiffness matrix
smoothing
finite element method
Finite element method
curvature
stiffness matrix
thin plates
locking
mesh
sensitivity
cells
approximation

Keywords

  • Curvature smoothing
  • Distorted meshes
  • Locking-free
  • Plates
  • SFEM
  • Smooth finite element method

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

A smoothed finite element method for plate analysis. / Nguyen-Xuan, H.; Rabczuk, Timon; Bordas, Stéphane; Debongnie, J. F.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 13-16, 15.02.2008, p. 1184-1203.

Research output: Contribution to journalArticle

Nguyen-Xuan, H, Rabczuk, T, Bordas, S & Debongnie, JF 2008, 'A smoothed finite element method for plate analysis', Computer Methods in Applied Mechanics and Engineering, vol. 197, no. 13-16, pp. 1184-1203. https://doi.org/10.1016/j.cma.2007.10.008
Nguyen-Xuan, H. ; Rabczuk, Timon ; Bordas, Stéphane ; Debongnie, J. F. / A smoothed finite element method for plate analysis. In: Computer Methods in Applied Mechanics and Engineering. 2008 ; Vol. 197, No. 13-16. pp. 1184-1203.
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