New twelve node serendipity quadrilateral plate bending element based on Mindlin-Reissner theory using Integrated Force Method

H. R. Dhananjaya, J. Nagabhushanam, P. C. Pandey, Mohd Zamin Jumaat

Research output: Contribution to journalArticle

10 Citations (Scopus)


The Integrated Force Method (IFM) is a novel matrix formulation developed for analyzing the civil, mechanical and aerospace engineering structures. In this method all independent/internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. This paper presents a new 12-node serendipity quadrilateral plate bending element MQP12 for the analysis of thin and thick plate problems using IFM. The MindlinReissner plate theory has been employed in the formulation which accounts the effect of shear deformation. The performance of this new element with respect to accuracy and convergence is studied by analyzing many standard benchmark plate bending problems. The results of the new element MQP12 are compared with those of displacement-based 12-node plate bending elements available in the literature. The results are also compared with exact solutions. The new element MQP12 is free from shear locking and performs excellent for both thin and moderately thick plate bending situations.

Original languageEnglish
Pages (from-to)625-642
Number of pages18
JournalStructural Engineering and Mechanics
Issue number5
Publication statusPublished - 30-11-2010
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering

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