Steel and Composite Structures, Volume (30), No (1), Year (2019-1) , Pages (57-67)

Title : ( Deflection of axially functionally graded rectangular plates by Green’s function method )

Authors: Mohaamad Rezaiee Pajand , Ahmad Aftabi sani , Seyed Mojtaba Hozhabrossadati ,

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Abstract

This paper deals with the static analysis of axially functionally graded rectangular plates. It is assumed that the flexural rigidity of the plate varies exponentially along one of the plate’s in-plane dimensions. Both an analytical approach and a numerical method are utilized to solve the problem. The analytical solution is obtained by using the Green’s function method. To employ this approach, the adjoint boundary value problem is established. Then, exact solutions for deflection of the plate for different boundary conditions are found. In another way, a finite element formulation for the problem is developed. In order to demonstrate the validity of the Authors’ formulation, the results obtained via both mentioned schemes are compared with each other for functionally graded plates and with results of previously published works for homogeneous plates. The effect of plate parameters on the response of the plate is also investigated. To remind the research background, a brief review on the application of Green’s function method in plates’ analysis and functionally graded plates is also presented.

Keywords

Green’s function method; deflection; axially functionally graded rectangular plate; exact solution; finite element formulation.
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@article{paperid:1073144,
author = {Rezaiee Pajand, Mohaamad and Aftabi Sani, Ahmad and Seyed Mojtaba Hozhabrossadati},
title = {Deflection of axially functionally graded rectangular plates by Green’s function method},
journal = {Steel and Composite Structures},
year = {2019},
volume = {30},
number = {1},
month = {January},
issn = {1229-9367},
pages = {57--67},
numpages = {10},
keywords = {Green’s function method; deflection; axially functionally graded rectangular plate; exact solution; finite element formulation.},
}

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%0 Journal Article
%T Deflection of axially functionally graded rectangular plates by Green’s function method
%A Rezaiee Pajand, Mohaamad
%A Aftabi Sani, Ahmad
%A Seyed Mojtaba Hozhabrossadati
%J Steel and Composite Structures
%@ 1229-9367
%D 2019

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