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A unified polygonal locking-free thin/thick smoothed plate element

Katili, Irwan, Maknun, Imam Jauhari, Katili, Andi Makarim, Bordas, Stéphane P.A. ORCID: and Natarajan, Sundararajan ORCID: 2019. A unified polygonal locking-free thin/thick smoothed plate element. Composite Structures 219 , pp. 147-157. 10.1016/j.compstruct.2019.03.020

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A novel cell-based smoothed finite element method is proposed for thin and thick plates based on Reissner-Mindlin plate theory and assumed shear strain fields. The domain is discretized with arbitrary polygons and on each side of the polygonal element, discrete shear constraints are considered to relate the kinematical and the independent shear strains. The plate is made of functionally graded material with effective properties computed using the rule of mixtures. The influence of various parameters, viz., the plate aspect ratio and the material gradient index on the static bending response and the first fundamental frequency is numerically studied. It is seen that the proposed element: (a) has proper rank; (b) does not require derivatives of shape functions and hence no isoparametric mapping required; (c) independent of shape and size of elements and (d) is free from shear locking.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Elsevier
ISSN: 0263-8223
Date of Acceptance: 6 March 2019
Last Modified: 24 Apr 2023 13:28

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