Modeling and analysis of FGM rectangular plates based on physical neutral surface and high order shear deformation theory

被引：64

作者：

Zhang, Da-Guang ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Ocean & Civil Engn, Shanghai 200030, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2013年 / 68卷

关键词：

Functionally graded materials; Physical neutral surface; High-order shear deformation theory; Post-buckling; Nonlinear bending; Nonlinear vibration; FUNCTIONALLY GRADED PLATES; TEMPERATURE-DEPENDENT PROPERTIES; NONLINEAR BENDING ANALYSIS; FINITE-ELEMENT-METHOD; LAMINATED PLATES; THERMAL ENVIRONMENTS; ELASTIC FOUNDATIONS; BUCKLING ANALYSIS; CIRCULAR PLATES; SANDWICH PLATES;

D O I：

10.1016/j.ijmecsci.2013.01.002

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, model of the FGM plate is successfully constructed by physical neutral surface and high-order shear deformation theory. Material properties are assumed to be temperature-dependent, while Poisson's ratio depends weakly on temperature change and position and is assumed to be a constant. It is worth noting that physical neutral surface will be changed with temperature. Therefore, the displacements have special forms, there are no stretching bending couplings in constitutive equations, and governing equations have the simple forms, so the solution procedure is similar as homogeneous isotropic plate. The validity of physical neutral surface higher-order shear deformation plate theory can be confirmed by comparison with related researchers' results. Using this new model, post-buckling, nonlinear bending and vibration approximate solutions are given out using Ritz method, and influences played by different supported boundaries, thermal environmental conditions and volume fraction index are discussed in detail. Physical neutral surface theory has many merits in the engineering application due to its easiness and simplicity. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：92 / 104

页数：13

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