The transition from thin plates to moderately thick plates by using finite element analysis and the shear locking problem

Tulay Aksu Ozkul*, Umit Ture

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

Two simple plate bending elements, based on Mindlin theory for analysis of both moderately thick and thin plates, are presented in this paper. These elements have either four nodes or eight nodes with 12 and 24 DOF, respectively. To illustrate the accuracy of these finite elements named as TURE12 and TURE24, several numerical examples of displacements and stresses for both thin and moderately thick plate bending problems are presented and discussed with a range of finite element meshes and thickness-to-plate length ratios. In addition, the bending and shearing behaviours of a Mindlin plate are analyzed with respect to shear locking. In order to test the shear locking, the results obtained from the Mindlin plate analysis using 4- or 8-noded elements with full, reduced, and selective reduced integration are compared with the exact classical thin plate solution.

Original languageEnglish
Pages (from-to)1405-1430
Number of pages26
JournalThin-Walled Structures
Volume42
Issue number10
DOIs
Publication statusPublished - Oct 2004

Keywords

  • Finite element
  • Mindlin plate theory
  • Shear locking
  • Thick plates
  • Thin plates

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