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Efficient and accurate four-node quadrilateral C0 plate bending element based on assumed strain fields

✍ Scribed by Guangyu Shi; George Z. Voyiadjis


Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
915 KB
Volume
32
Category
Article
ISSN
0029-5981

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✦ Synopsis


Based on the assumed element strain fields and the interrelated displacement-rotation interpolations, a four-node (12 dof) quadrilateral C o finite element, designated as QCCP-2, for the analysis of thick/thin plates is developed in this paper. The four-node C o plate element presented here possesses a linear bending strain field, and the element stiffness matrices are given explicitly. Therefore, the present four-node C o plate element is more efficient and accurate than the existing four-node C o plate elements where the constant strain stiffness matrices are obtained by numerical integration. By the use of the interrelated displacement-rotation interpolations, QCCP-2 is capable of automatically satisfying the Kirchhoff assumption for the case of thin plates. Consequently, QCCP-2 is not only free of shear locking, but also free from the numerical ill-conditioning. Furthermore, QCCP-2 passes the patch test of thin plates. The four-node quadrilateral C o elements presented here can automatically reduce to the corresponding three-node triangular elements. Several numerical examples are given to demonstrate the efficiency and accuracy of the C o plate bending element QCCP-2.


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