A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates

H. Nguyen-Xuan, T. Rabczuk, N. Nguyen-Thanh, T. Nguyen-Thoi, S. Bordas

Research output: Contribution to journalArticle

96 Citations (Scopus)

Abstract

In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation.Aso-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.

Original languageEnglish
Pages (from-to)679-701
Number of pages23
JournalComputational Mechanics
Volume46
Issue number5
DOIs
Publication statusPublished - 2010 Oct

Keywords

  • Finite element method
  • Node-based smoothed
  • Plate bending
  • Transverse shear locking

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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