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

Liao-Liang Ke; Jie Yang; Sritawat Kitipornchai; Mark Andrew Bradford

doi:10.1016/j.compstruct.2012.04.037

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

Liao-Liang Ke
, Jie Yang
, Sritawat Kitipornchai
, Mark Andrew Bradford

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

188 Citations (Scopus)

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. © 2012 Elsevier Ltd.

Original language	English
Pages (from-to)	3250-3257
Journal	Composite Structures
Volume	94
Issue number	11
DOIs	https://doi.org/10.1016/j.compstruct.2012.04.037
Publication status	Published - Nov 2012

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

The work described in this paper was supported by a research grant from the Research Grants Council of the Hong Kong Special Administrative Region, China [Project No. CityU 113809]. The authors are grateful for the financial support.

Research Keywords

Bending
Buckling
Couple stress theory
Free vibration
Functionally graded microplates
Size effect

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

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. {\textcopyright} 2012 Elsevier Ltd.",

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N2 - 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. © 2012 Elsevier Ltd.

AB - 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. © 2012 Elsevier Ltd.

KW - Bending

KW - Buckling

KW - Couple stress theory

KW - Free vibration

KW - Functionally graded microplates

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JO - Composite Structures

JF - Composite Structures

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ER -

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

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