State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates

Luan Trinh; Thuc Vo; Tai Thai; Kien Nguyen; Keerthan Poologanathan

doi:10.1016/j.compositesb.2018.05.017

State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates

Luan Trinh, Thuc Vo, Tai Thai, Kien Nguyen, Keerthan Poologanathan

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Abstract

The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed with a refined shear deformation theory. The rectangular plates embedded on two opposite simply-supported edges with the arbitrary combinations of the other two. Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations. The effects of material distribution and graded schemes, geometric parameters and boundary conditions are also investigated to examine the size-dependent behaviours of FG sandwich microplates.

Original language	English
Pages (from-to)	144-164
Journal	Composites Part B: Engineering
Volume	149
Early online date	12 May 2018
DOIs	https://doi.org/10.1016/j.compositesb.2018.05.017
Publication status	Published - 15 Sept 2018

Keywords

Functionally graded sandwich microplate
state-space based solution
Levy solution
modified couple stress theory
size-dependent behaviours

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10.1016/j.compositesb.2018.05.017

MCS_Sandwich_plate_Modified_R1Accepted author manuscript, 2.1 MBLicence: CC BY-NC-ND

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title = "State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates",

abstract = "The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed with a refined shear deformation theory. The rectangular plates embedded on two opposite simply-supported edges with the arbitrary combinations of the other two. Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations. The effects of material distribution and graded schemes, geometric parameters and boundary conditions are also investigated to examine the size-dependent behaviours of FG sandwich microplates.",

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AU - Trinh, Luan

AU - Vo, Thuc

AU - Thai, Tai

AU - Nguyen, Kien

AU - Poologanathan, Keerthan

PY - 2018/9/15

Y1 - 2018/9/15

N2 - The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed with a refined shear deformation theory. The rectangular plates embedded on two opposite simply-supported edges with the arbitrary combinations of the other two. Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations. The effects of material distribution and graded schemes, geometric parameters and boundary conditions are also investigated to examine the size-dependent behaviours of FG sandwich microplates.

AB - The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed with a refined shear deformation theory. The rectangular plates embedded on two opposite simply-supported edges with the arbitrary combinations of the other two. Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations. The effects of material distribution and graded schemes, geometric parameters and boundary conditions are also investigated to examine the size-dependent behaviours of FG sandwich microplates.

KW - Functionally graded sandwich microplate

KW - state-space based solution

KW - Levy solution

KW - modified couple stress theory

KW - size-dependent behaviours

UR - https://www.scopus.com/pages/publications/85047241201

U2 - 10.1016/j.compositesb.2018.05.017

DO - 10.1016/j.compositesb.2018.05.017

M3 - Article

SN - 1359-8368

VL - 149

SP - 144

EP - 164

JO - Composites Part B: Engineering

JF - Composites Part B: Engineering

ER -

State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates

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