An optimally integrated four-node quadrilateral plate bending element

Prathap, G. ; Viswanath, S. (1983) An optimally integrated four-node quadrilateral plate bending element International Journal for Numerical Methods in Engineering, 19 (6). pp. 831-840. ISSN 0029-5981

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A clearer understanding of the problems associated with reduced integration and optimum integration schemes for the development of Mindlin plate elements is presented. It is shown that an optimal selective integration rule can be found for the 4-node quadrilateral plate bending element which requires 2 × 2 Gaussian integration for bending energy and 1 × 2 and 2 × 1 rules for the shear energy terms from (θ x - w,x) and (θy - w,y), respectively. This will give an element of correct rank, without any zero energy mechanisms and without shear locking in the thin plate limit, and better performance in moderately thick situations than the currently available 4-node quadrilaterals using one-point shear integration or modified one-point shear integration due to Hughes et al. The effects of arbitrary orientation of the grid and the non-rectangular form of element are discussed.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
ID Code:39240
Deposited On:10 May 2011 05:22
Last Modified:10 May 2011 05:22

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