Modified Couple Stress-Based Third-Order Theory for Nonlinear Analysis of Functionally Graded Beams

被引：56
|
作者：
Arbind, A. [1 ]
Reddy, J. N. [1 ]
Srinivasa, A. R. [1 ]
机构：
[1] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA
来源：
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES | 2014年 / 11卷 / 03期
基金：
美国国家科学基金会;
关键词：
Modified couple stress theory; equations of motion; general third-order beam theory; von Karman nonlinearity; functionally graded beam; nonlinear finite element model; THERMOELASTIC ANALYSIS; PLATES; GRADIENT; STRAIN;
D O I：
10.1590/S1679-78252014000300006
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
A microstructure-dependent nonlinear third-order beam theory which accounts for through-thickness power-law variation of a two-constituent material is developed using Hamilton's principle. The formulation is based on a modified couple stress theory, power-law variation of the material, and the von Karman nonlinear strains. The modified couple stress theory contains a material length scale parameter that can capture the size effect in a functionally graded material beam. The influence of the material length scale parameter on linear bending is investigated. The finite element models are also developed to determine the effect of the geometric nonlinearity and microstructure-dependent constitutive relations on linear and nonlinear response.
引用
收藏
页码：459 / 487
页数：29
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