Static and eigenvalue problems of Sigmoid Functionally Graded Materials (S-FGM) micro-scale plates using the modified couple stress theory

被引:36
作者
Jung, Woo-Young [1 ]
Han, Sung-Cheon [2 ]
机构
[1] Gangneung Wonju Natl Univ, Dept Civil Engn, Kangnung 210702, South Korea
[2] Daewon Univ Coll, Dept Civil & Railrd Engn, Jecheon 390702, South Korea
基金
新加坡国家研究基金会;
关键词
Modified couple stress theory; Sigmoid Functionally Graded Materials (S-FGM); Micro-scale effect; Eigenvalue problems; Third-order shear deformation theory; MECHANICAL-BEHAVIOR; MODEL; PLASTICITY; ELASTICITY; BEAM;
D O I
10.1016/j.apm.2014.11.056
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Bending, vibration and buckling analysis of Sigmoid Functionally Graded Materials (S-FGM) micro-scale plates using the modified couple stress theory is presented in this paper. The micro-scale effects of S-FGM micro-scale plates are captured using the single material length scale parameter of a modified couple stress theory. The material properties are assumed to vary only through the thickness of the S-FGM micro-scale plate, by mixing two different materials. The shear deformation effects are included, using the third-order shear deformation theory. The present theory does not require a shear correction factor, because of the parabolic distribution of the transverse shear strains through the thickness. The third-order theory that accounts for the functionally graded material, and the microscale effects have been derived using the principle of virtual displacements. In the present theory, the variation of two materials through thickness is embedded into the plate constitutive relation. The static and eigenvalue problems are solved by the Navier method. Numerical examples of bending, vibration and buckling problems are presented, to illustrate the effects of the sigmoid power-law distribution of the two materials, and the dimensionless material length scale parameter. In particular, in the case of biaxial compression and tension, the magnitude and direction of the buckling load should be considered simultaneously. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:3506 / 3524
页数:19
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