Composiyes2009 2nd ECCOMAS Thematic Conference on the Mechanical Response of Composites , 2009-04-01

#### Title : ( Linear and Non-linear Analyses of Functionally Graded Plates Using Generalized Differential Quadrature Method )

Authors: Atieh Andakhshideh , Masoud Tahani , Sattar Maleki , اقدم ,

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#### Abstract

Linear and non-linear static analyses of moderately thick functionally graded (FG) rectangular plates with different boundary conditions are presented using generalized differential quadrature (GDQ) method. The modulus of elasticity of the plates is assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. Non-linear system of equations is based on the first-order shear deformation theory and von Kármán-type of geometric non-linearity. To derive linear system of equations, non-linear terms are omitted in former equations. The governing system of equations includes a system of thirteen partial differential equations in terms of unknown displacements, forces and moments. Presence of all plate variables in the governing equations provides a simple procedure to satisfy different boundary conditions. Application of the GDQ technique to the governing equations, solution domain and boundary conditions leads to a system of non-linear algebraic equations. The Newton–Raphson iterative scheme is then employed to solve the resulting system of non-linear equations. Illustrative examples are presented to demonstrate accuracy and rapid convergence of the presented GDQ technique. Accuracy of the results for both displacement and stress components are verified with comparing the present results with those of analytical and finite element methods. It is found that the theory can predict accurately the displacement and stress components even for small number of grid points.

#### Keywords

, ‍Composite materials, Linear and non-linear analyses, GDQ method
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@inproceedings{paperid:1007506,
author = {Andakhshideh, Atieh and Tahani, Masoud and Maleki, Sattar and اقدم},
title = {Linear and Non-linear Analyses of Functionally Graded Plates Using Generalized Differential Quadrature Method},
booktitle = {Composiyes2009 2nd ECCOMAS Thematic Conference on the Mechanical Response of Composites},
year = {2009},
location = {لندن, ENGLAND},
keywords = {‍Composite materials; Linear and non-linear analyses; GDQ method},
}