An elasticity solution for transversely isotropic, functionally graded circular plates

被引：8

作者：

Lu, Yingya ^{[1
]}

Shi, Juntao ^{[1
]}

Nie, Guojun ^{[1
]}

Zhong, Zheng ^{[1
]}

机构：

[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2016年 / 23卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Functionally graded materials; transversely isotropic materials; circular plate; displacement function; analytical solution; Bessel function; BEAMS;

D O I：

10.1080/15376494.2014.984091

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article presents a new elasticity solution for transversely isotropic, functionally graded circular plates subject to axisymmetric loads. It is assumed that the material properties vary along the thickness of a circular plate according to an exponential form. By extending the displacement function presented by Plevako to he case of transversely isotropic material, we derived the governing equation of the problem studied. The displacement function was assumed as the sum of the Bessel function and polynomial function to obtain the analytical solution of a transversely isotropic, functionally graded circular plate under different boundary conditions. As a numerical example, the influence of the graded variations of the material properties on the displacements and stresses was studied. The results demonstrate that the graded variations have a significant effect on the mechanical behavior of a circular plate.

引用

页码：451 / 457

页数：7

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