A smoothed finite element method for plate analysis

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

Research output: Contribution to journalArticlepeer-review

253 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

Keywords

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

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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