Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory

The theoretical formulation for bending analysis of functionally graded (FG) rotating disks based on first order shear deformation theory (FSDT) is presented. The material properties of the disk are assumed to be graded in the radial direction by a power law distribution of volume fractions of the c...

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Main Authors: Bayat, Mehdi, Sahari, Barkawi, Saleem, Mahdiyya, Ali, Aidy, Wong, Shaw Voon
Format: Article
Language:English
Published: Elsevier 2009
Online Access:http://psasir.upm.edu.my/id/eprint/40273/1/Bending%20analysis%20of%20a%20functionally%20graded%20rotating%20disk%20based%20on%20the%20first%20order%20shear%20deformation%20theory.pdf
http://psasir.upm.edu.my/id/eprint/40273/
http://www.sciencedirect.com/science/article/pii/S0307904X09000638
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Institution: Universiti Putra Malaysia
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spelling my.upm.eprints.402732015-09-15T06:33:07Z http://psasir.upm.edu.my/id/eprint/40273/ Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory Bayat, Mehdi Sahari, Barkawi Saleem, Mahdiyya Ali, Aidy Wong, Shaw Voon The theoretical formulation for bending analysis of functionally graded (FG) rotating disks based on first order shear deformation theory (FSDT) is presented. The material properties of the disk are assumed to be graded in the radial direction by a power law distribution of volume fractions of the constituents. New set of equilibrium equations with small deflections are developed. A semi-analytical solution for displacement field is given under three types of boundary conditions applied for solid and annular disks. Results are verified with known results reported in the literature. Also, mechanical responses are compared between homogeneous and FG disks. It is found that the stress couple resultants in a FG solid disk are less than the stress resultants in full-ceramic and full-metal disk. It is observed that the vertical displacements for FG mounted disk with free condition at the outer surface do not occur between the vertical displacements of the full-metal and full-ceramic disk. More specifically, the vertical displacement in a FG mounted disk with free condition at the outer surface can even be greater than vertical displacement in a full-metal disk. It can be concluded from this work that the gradation of the constitutive components is a significant parameter that can influence the mechanical responses of FG disks. Elsevier 2009-11 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/40273/1/Bending%20analysis%20of%20a%20functionally%20graded%20rotating%20disk%20based%20on%20the%20first%20order%20shear%20deformation%20theory.pdf Bayat, Mehdi and Sahari, Barkawi and Saleem, Mahdiyya and Ali, Aidy and Wong, Shaw Voon (2009) Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory. Applied Mathematical Modelling, 33 (11). pp. 4215-4230. ISSN 0307-904X; ESSN: 1872-8480 http://www.sciencedirect.com/science/article/pii/S0307904X09000638 10.1016/j.apm.2009.03.001
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description The theoretical formulation for bending analysis of functionally graded (FG) rotating disks based on first order shear deformation theory (FSDT) is presented. The material properties of the disk are assumed to be graded in the radial direction by a power law distribution of volume fractions of the constituents. New set of equilibrium equations with small deflections are developed. A semi-analytical solution for displacement field is given under three types of boundary conditions applied for solid and annular disks. Results are verified with known results reported in the literature. Also, mechanical responses are compared between homogeneous and FG disks. It is found that the stress couple resultants in a FG solid disk are less than the stress resultants in full-ceramic and full-metal disk. It is observed that the vertical displacements for FG mounted disk with free condition at the outer surface do not occur between the vertical displacements of the full-metal and full-ceramic disk. More specifically, the vertical displacement in a FG mounted disk with free condition at the outer surface can even be greater than vertical displacement in a full-metal disk. It can be concluded from this work that the gradation of the constitutive components is a significant parameter that can influence the mechanical responses of FG disks.
format Article
author Bayat, Mehdi
Sahari, Barkawi
Saleem, Mahdiyya
Ali, Aidy
Wong, Shaw Voon
spellingShingle Bayat, Mehdi
Sahari, Barkawi
Saleem, Mahdiyya
Ali, Aidy
Wong, Shaw Voon
Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory
author_facet Bayat, Mehdi
Sahari, Barkawi
Saleem, Mahdiyya
Ali, Aidy
Wong, Shaw Voon
author_sort Bayat, Mehdi
title Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory
title_short Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory
title_full Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory
title_fullStr Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory
title_full_unstemmed Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory
title_sort bending analysis of a functionally graded rotating disk based on the first order shear deformation theory
publisher Elsevier
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/40273/1/Bending%20analysis%20of%20a%20functionally%20graded%20rotating%20disk%20based%20on%20the%20first%20order%20shear%20deformation%20theory.pdf
http://psasir.upm.edu.my/id/eprint/40273/
http://www.sciencedirect.com/science/article/pii/S0307904X09000638
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