Bending, buckling and vibration of size-dependent functionally graded annular microplates

Ke, Liao-Liang, Yang, Jie, Kitipornchai, Sritawat and Bradford, Mark Andrew (2012) Bending, buckling and vibration of size-dependent functionally graded annular microplates. Composite Structures, 94 11: 3250-3257. doi:10.1016/j.compstruct.2012.04.037


Author Ke, Liao-Liang
Yang, Jie
Kitipornchai, Sritawat
Bradford, Mark Andrew
Title Bending, buckling and vibration of size-dependent functionally graded annular microplates
Journal name Composite Structures   Check publisher's open access policy
ISSN 0263-8223
1879-1085
Publication date 2012-01-01
Year available 2012
Sub-type Article (original research)
DOI 10.1016/j.compstruct.2012.04.037
Volume 94
Issue 11
Start page 3250
End page 3257
Total pages 8
Place of publication Camden, London, United Kingdom
Publisher Elsevier Ltd
Collection year 2012
Language eng
Abstract The bending, buckling and free vibration of annular microplates made of functionally graded materials (FGMs) are investigated in this paper based on the modified couple stress theory and Mindlin plate theory. This microplate model incorporates the material length scale parameter that can capture the size effect in FGMs. The material properties of the FGM microplates are assumed to vary in the thickness direction and are estimated through the Mori-Tanaka homogenization technique. The higher-order governing equations and boundary conditions are derived by using Hamilton's principle. The differential quadrature (DQ) method is employed to discretize the governing equations and to determine the deflection, critical buckling load and natural frequencies of FGM microplates. A parametric study is then conducted to investigate the influences of the length scale parameter, gradient index and inner-to-outer radius ratio on the bending, buckling and vibration characteristics of FGM microplates with hinged-hinged and clamped-clamped supports. The results show that the size effect on the bending, buckling and vibration characteristics is significant when the ratio of the microplate thickness to the material length scale parameter is smaller than 10.
Keyword Bending
Buckling
Couple stress theory
Free vibration
Functionally graded microplates
Size effect
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Wed, 29 Oct 2014, 21:35:14 EST by Jeannette Watson on behalf of School of Civil Engineering