Finite element formulation of various four unknown shear deformation theories for functionally graded plates

被引：105
作者：
Thai, Huu-Tai [1 ]
Choi, Dong-Ho [1 ]
机构：
[1] Hanyang Univ, Dept Civil & Environm Engn, Seoul 133791, South Korea
来源：
FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2013年 / 75卷
基金：
新加坡国家研究基金会;
关键词：
Finite element formulation; Functionally graded plate; Shear deformation theory; Bending; Vibration; HIGHER-ORDER SHEAR; FREE-VIBRATION ANALYSIS; BUCKLING ANALYSIS; MLPG METHOD; EFFICIENT;
D O I：
10.1016/j.finel.2013.07.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, finite element formulation of various four unknown shear deformation theories is presented for the bending and vibration analyses of functionally graded plates. The present theories have strong similarity with the classical plate theory and accounts for shear deformation effects without using any shear correction factors. A four-node quadrilateral finite element is developed using Lagrangian and Hermitian interpolation functions to describe the primary variables corresponding to the in-plane displacements and transverse displacement, respectively. Material properties are assumed to be graded in the thickness direction according to a power-law distribution in terms of volume fractions of the constituents. Convergence test and comparison studies are performed for thin and very thick plates to demonstrate the accuracy of the present formulation. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：50 / 61
页数：12
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