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Structural Engineering and Mechanics Volume 36, Number 5, November30 2010 , pages 625-642 DOI: https://doi.org/10.12989/sem.2010.36.5.625 |
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New twelve node serendipity quadrilateral plate bending element based on Mindlin-Reissner theory using Integrated Force Method |
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H.R. Dhananjaya, J. Nagabhushanam, P.C. Pandey and Mohd. Zamin Jumaat
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| Abstract | ||
| 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 Mindlin-Reissner 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. | ||
| Key Words | ||
| displacement fields; stress-resultant fields; Mindlin-Reissner plate theory; Integrated Force Method. | ||
| Address | ||
| H.R. Dhananjaya: Department of Civil Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur – 50603, Malaysia, (Manipal Institute of Technology, Manipal – 576 104, India) J. Nagabhushanam: Department of Aerospace Engineering, Indian Institute of Science Bangalore – 560 012, India P.C. Pandey: Department of Civil Engineering, Indian Institute of Science Bangalore – 560 012, India Mohd. Zamin Jumaat: Department of Civil Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur – 50603, Malaysia | ||