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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/40273/ 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 |
| _version_ | 1848849378495692800 |
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| author | Bayat, Mehdi Sahari, Barkawi Saleem, Mahdiyya Ali, Aidy Wong, Shaw Voon |
| author_facet | Bayat, Mehdi Sahari, Barkawi Saleem, Mahdiyya Ali, Aidy Wong, Shaw Voon |
| author_sort | Bayat, Mehdi |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:49:27Z |
| format | Article |
| id | upm-40273 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:49:27Z |
| publishDate | 2009 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/40273/ http://psasir.upm.edu.my/id/eprint/40273/ http://psasir.upm.edu.my/id/eprint/40273/ 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 |