Journal of Achievements in Materials and Manufacturing Engineering, Volume (18), No (1), Year (2006-6) , Pages (315-318)

Title : Nonlinear Analysis of Functionally Graded Beams ( Nonlinear Analysis of Functionally Graded Beams )

Authors: Masoud Tahani , محمد امین ترابی زاده , فریدون ,

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

Purpose: It is the intention of the present study to examine the effect of geometric nonlinearity on displacements and stresses in beams made of functionally graded materials (FGMs) subjected to thermo-mechanical loadings. Design/methodology/approach: The nonlinear strain-displacement relations are used to study the effect of geometric nonlinearity. Temperature distribution through the thickness of the beams in thermal loadings is obtained by solving the one-dimensional heat transfer equation. Then the equilibrium equations are obtained within the framework of the first-order shear deformatyion beam theory (FSDBT) and then solved exactly and also by using a perturbation technique. The results obtained from these two methods are compared for various loadings and boundary conditions. Findings: The numerical results showed that the nonlinearity effect on the displacements and stresses of the beams is significant. Also the effects of material constant n and the boundary conditions on the nonlinear bending behavior of the beams are determined. Research limitations/implications: The exact solution method of nonlinear equilibrium equations can only be developed for composite beams with the same boundary conditions at the ends. Practical implications: It is showed that for the maximum deflections greater than 0.3h a nonlinear solution is required. Originality/value: The paper introduces a new method to obtain analytical solution for nonlinear equilibrium equations. This method can be used in developing higher-order shear deformation and layerwise theories.

Keywords

Applied mechanics; Functionally graded beams; Nonlinear analysis; Analytical solution
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1005660,
author = {Tahani, Masoud and محمد امین ترابی زاده and فریدون},
title = {Nonlinear Analysis of Functionally Graded Beams},
journal = {Journal of Achievements in Materials and Manufacturing Engineering},
year = {2006},
volume = {18},
number = {1},
month = {June},
issn = {1734-8412},
pages = {315--318},
numpages = {3},
keywords = {Applied mechanics; Functionally graded beams; Nonlinear analysis; Analytical solution},
}

[Download]

%0 Journal Article
%T Nonlinear Analysis of Functionally Graded Beams
%A Tahani, Masoud
%A محمد امین ترابی زاده
%A فریدون
%J Journal of Achievements in Materials and Manufacturing Engineering
%@ 1734-8412
%D 2006

[Download]