A unified polygonal locking-free thin/thick smoothed plate element

Irwan Katili, Imam Jauhari Maknun, Andi Makarim Katili, Stéphane P.A. Bordas, Sundararajan Natarajan

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


A novel cell-based smoothed finite element method is proposed for thin and thick plates based on Reissner-Mindlin plate theory and assumed shear strain fields. The domain is discretized with arbitrary polygons and on each side of the polygonal element, discrete shear constraints are considered to relate the kinematical and the independent shear strains. The plate is made of functionally graded material with effective properties computed using the rule of mixtures. The influence of various parameters, viz., the plate aspect ratio and the material gradient index on the static bending response and the first fundamental frequency is numerically studied. It is seen that the proposed element: (a) has proper rank; (b) does not require derivatives of shape functions and hence no isoparametric mapping required; (c) independent of shape and size of elements and (d) is free from shear locking.

Original languageEnglish
Pages (from-to)147-157
Number of pages11
JournalComposite Structures
Publication statusPublished - 1 Jul 2019


  • Cell based smoothed finite element method
  • Discrete Kirchhoff Mindlin theory
  • Kirchhoff constraint
  • Numerical integration
  • Shear locking


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