A refined plate theory for functionally graded plates resting on elastic foundation

被引：168

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：

COMPOSITES SCIENCE AND TECHNOLOGY | 2011年 / 71卷 / 16期

基金：

新加坡国家研究基金会;

关键词：

Functional composites; Vibration; Buckling; Plate theory; FREE-VIBRATION ANALYSIS; LAMINATED PLATES; THICK PLATES; STABILITY;

D O I：

10.1016/j.compscitech.2011.08.016

中图分类号：

TB33 [复合材料];

学科分类号：

摘要：

A refined plate theory for functionally graded plates resting on elastic foundation is developed in this paper. The theory accounts for a quadratic variation of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The number of independent unknowns of present theory is four, as against five in other shear deformation theories. The material properties of plate are assumed to vary according to power law distribution of the volume fraction of the constituents. The elastic foundation is modeled as two-parameter Pasternak foundation. Equations of motion are derived using Hamilton's principle. The closed-form solutions of rectangular plates are obtained. Numerical results are presented to verify the accuracy of present theory. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1850 / 1858

页数：9

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