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

Dhananjaya, HR and Pandey, PC and Nagabhushanam, J and Ibrahim, Zainah (2012) New nine-node Lagrangian quadrilateral plate element based on Mindlin-Reissner theory using IFM. In: Structural Engineering & Mechanics, 41 (2). pp. 205-229.

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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 theta(x) and theta(y) 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.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to TechnoPress.
Keywords: integrated force method; mindlin-reissner plate theory stress-resultant fields;displacement fields;shear locking
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Division of Mechanical Sciences > Civil Engineering
Date Deposited: 12 Mar 2012 12:02
Last Modified: 12 Mar 2012 12:02
URI: http://eprints.iisc.ernet.in/id/eprint/43709

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