New nine-node Lagrangian quadrilateral plate element based on Mindlin-Reissner theory using IFM

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

Abstract

This paper presents a new nine-node Lagrangian quadrilateral plate bending element (MQP9) using the Integrated Force Method (IFM) for the analysis of thin and moderately thick plate bending problems. Three degrees of freedom: transverse displacement w and two rotations ox and oy are considered at each node of the element. The Mindlin-Reissner theory has been employed in the formulation which accounts the effect of shear deformation. Many standard plate bending benchmark problems have been analyzed using the new element MQP9 for various grid sizes via Integrated Force Method to estimate defections and bending moments. These results of the new element MQP9 are compared with those of similar displacement-based plate bending elements available in the literature. The results are also compared with exact solutions. It is observed that the presented new element MQP9 is free from shear locking and produced, in general, excellent results in all plate bending benchmark problems considered.

Key Words

integrated force method; mindlin-reissner plate theory stress-resultant fields; displacement fields; shear locking

Address

H.R. Dhananjaya: Department of Civil Engineering, Nitte Meenakshi Institute of Technology, Bangalore-560 064, India; Department of Civil Engineering, University of Malaya, Kuala Lumpur-50603, Malaysia P.C. Pandey: Department of Civil Engineering, Indian Institute of Science, Bangalore-560 012, India J. Nagabhushanam: Department of Aerospace Engineering, Indian Institute of Science, Bangalore-560 012, India Zainah Ibrahim: Department of Civil Engineering, University of Malaya, Kuala Lumpur-50603, Malaysia

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