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http://dx.doi.org/10.12989/sem.2007.26.1.069

Alternative plate finite elements for the analysis of thick plates on elastic foundations  

Ozgan, K. (Yuksel Proje Uluslararasi)
Daloglu, Ayse T. (Dept. of Civil Engineering, Karadeniz Technical University)
Publication Information
Structural Engineering and Mechanics / v.26, no.1, 2007 , pp. 69-86 More about this Journal
Abstract
A four-noded plate bending quadrilateral (PBQ4) and an eight-noded plate bending quadrilateral (PBQ8) element based on Mindlin plate theory have been adopted for modeling the thick plates on elastic foundations using Winkler model. Transverse shear deformations have been included, and the stiffness matrices of the plate elements and the Winkler foundation stiffness matrices are developed using Finite Element Method based on thick plate theory. A computer program is coded for this purpose. Various loading and boundary conditions are considered, and examples from the literature are solved for comparison. Shear locking problem in the PBQ4 element is observed for small value of subgrade reaction and plate thickness. It is noted that prevention of shear locking problem in the analysis of the thin plate is generally possible by using element PBQ8. It can be concluded that, the element PBQ8 is more effective and reliable than element PBQ4 for solving problems of thin and thick plates on elastic foundations.
Keywords
finite element method; thick plate theory; elastic foundation; Winkler model;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 6  (Related Records In Web of Science)
Times Cited By SCOPUS : 6
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