Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method

H. R. Dhananjaya, P. C. Pandey, J. Nagabhushanam, Ismail Othamon

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4 Citations (Scopus)


Closed form solutions for equilibrium and flexibility matrices of the Mindlin-Reissner theory based eight-node rectangular plate bending element (MRP8) using Integrated Force Method (IFM) are presented in this paper. Though these closed form solutions of equilibrium and flexibility matrices are applicable to plate bending problems with square/rectangular boundaries, they reduce the computational time significantly and give more exact solutions. Presented closed form solutions are validated by solving large number of standard square/rectangular plate bending benchmark problems for deflections and moments and the results are compared with those of similar displacement-based eight-node quadrilateral plate bending elements available in the literature. The results are also compared with the exact solutions.

Original languageEnglish
Pages (from-to)121-148
Number of pages28
JournalStructural Engineering and Mechanics
Issue number1
Publication statusPublished - 10-10-2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

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

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