Nonlinear theories of axisymmetric bending of functionally graded circular plates with modified couple stress

被引：123

作者：

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

Berry, Jessica ^{[1
]}

机构：

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

来源：

COMPOSITE STRUCTURES | 2012年 / 94卷 / 12期

基金：

美国国家科学基金会;

关键词：

Classical theory; Equations of motion; First-order theory; Functionally graded materials; Modified couple stress theory; Temperature-dependent properties; THERMOELASTIC ANALYSIS;

D O I：

10.1016/j.compstruct.2012.04.019

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A microstructure-dependent nonlinear theory for axisymmetric bending of circular plates, which accounts for through-thickness power-law variation of a two-constituent material, is developed using the principle of virtual displacements. The formulation is based on a modified couple stress theory, power-law variation of the material, temperature-dependent properties, and the von Karman geometric nonlinearity. Classical and first-order shear deformation theories are considered in the study. The modified couple stress theory contains a material length scale parameter that can capture the size effect in a functionally graded material plate. The theories presented herein can be used to develop analytical solutions of bending, buckling, and free vibration for the linear case and finite-element models for the nonlinear case to determine the effect of the geometric nonlinearity, power-law index, and microstructure-dependent constitutive relations on linear and nonlinear response of axisymmetric analysis of circular plates. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3664 / 3668

页数：5

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