New eight node serendipity quadrilateral plate bending element for thin and moderately thick plates using Integrated Force Method

H.R. Dhananjaya, P.C. Pandey and J. Nagabhushanam

Abstract

A new 8-node serendipity quadrilateral plate bending element (MQP8) based on the Mindlin-Reissner theory for the analysis of thin and moderately thick plate bending problems using Integrated Force Method is presented in this paper. The performance of this new element (MQP8) is studied for accuracy and convergence by analyzing many standard benchmark plate bending problems. This new element MQP8 performs excellent in both thin and moderately thick plate bending situations. And also this element is free from spurious/zero energy modes and free from shear locking problem.

Key Words

Mindlin-Reissner theory; plate bending element; integrated force method; displacement fields; stress-resultant fields.

Address

H.R. Dhananjaya: Dept. of Civil Engineering, Manipal Institute of Technology, Manipal-576 104, India (Visiting faculty to Malaya University, Malaysia) P.C. Pandey: Dept. of Civil Engineering, Indian Institute of Science, Bangalore-560012, India J. Nagabhushanam: Dept. of Aerospace Engineering, Indian Institute of Science, Bangalore-560012, India

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