6th Australasian Congress on Applied Mechanics , 2010-12-12

Title : ( Analytical solution of functionally graded plates with any combination of clamped and simply supported boundary conditions under transverse mechanical loading )

Authors: Masoud Tahani , Peyman Yazdanpanah Moghadam , Mohammad Hossein Abolbashari ,

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In this study, a new analytical method is presented for static analysis of rectangular functionally graded plates with any combination of clamped/simply supported boundary conditions under transverse mechanical loading. This method is based on the novel superposition method and the first-order shear deformation theory. It is assumed that the non-homogeneous mechanical properties vary through the thickness of the plate. Using Fourier series for displacement components and edge force and moment resultants, the complex governing equations are reduced to a set of linear algebraic equations with non-trivial solution. The obtained equations may be solved analytically to determine the unknown stress resultants. Several examples are presented, and their numerical results are compared with those available in the literatures or obtained from commercial software ABAQUS. This comparison verifies high accuracy and the capability of the present method to analyze the static behavior of functionally graded plates.

Keywords

, analytical solution, clamped/simply supported edge, first-order shear deformation theory, functionally graded material, rectangular plate, superposition
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@inproceedings{paperid:1017491,
author = {Tahani, Masoud and Yazdanpanah Moghadam, Peyman and Abolbashari, Mohammad Hossein},
title = {Analytical solution of functionally graded plates with any combination of clamped and simply supported boundary conditions under transverse mechanical loading},
booktitle = {6th Australasian Congress on Applied Mechanics},
year = {2010},
location = {Perth, AUSTRALIA},
keywords = {analytical solution; clamped/simply supported edge; first-order shear deformation theory; functionally graded material; rectangular plate; superposition method.},
}

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%0 Conference Proceedings
%T Analytical solution of functionally graded plates with any combination of clamped and simply supported boundary conditions under transverse mechanical loading
%A Tahani, Masoud
%A Yazdanpanah Moghadam, Peyman
%A Abolbashari, Mohammad Hossein
%J 6th Australasian Congress on Applied Mechanics
%D 2010

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