Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory

被引：156

作者：

Kim, Jinseok ^{[1
]}

Reddy, J. N. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Mech Engn, Adv Computat Mech Lab, College Stn, TX 77843 USA

来源：

COMPOSITE STRUCTURES | 2013年 / 103卷

关键词：

Third-order shear deformation plate theory; Functionally graded materials; Modified couple stress theory; Analytical solution; FORMULATION;

D O I：

10.1016/j.compstruct.2013.03.007

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Analytical solutions of a general third-order plate theory that accounts for the power-law distribution of two materials through thickness and microstructure-dependent size effects are presented. The Navier solution technique is adopted to derive analytical solutions to simply supported rectangular plates. The modulus of elasticity and the mass density are assumed to vary only through thickness of plate and a single material length scale parameter of a modified couple stress theory captures the microstructure-dependent size effects. Examples of bending, buckling, and vibration problems are presented to show effects of the power-law distribution of two materials and the microstructure-dependent size parameter. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：86 / 98

页数：13

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