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

被引：38
|
作者：
Trinh, Luan C. [1 ,2 ]
Vo, Thuc P. [1 ,3 ]
Huu-Tai Thai [4 ,5 ,6 ]
Trung-Kien Nguyen [2 ]
Keerthan, Poologanathan [1 ]
机构：
[1] Northumbria Univ, Dept Mech & Construct Engn, Ellison Pl, Newcastle Upon Tyne NE1 8ST, Tyne & Wear, England
[2] Ho Chi Minh City Univ Technol & Educ, Fac Civil Engn, 1 Vo Van Ngan St, Ho Chi Minh City, Vietnam
[3] Duy Tan Univ, Inst Res & Dev, 03 Quang Trung, Da Nang, Vietnam
[4] Ton Duc Thang Univ, Inst Computat Sci, Div Construct Computat, Ho Chi Minh City, Vietnam
[5] Ton Duc Thang Univ, Fac Civil Engn, Ho Chi Minh City, Vietnam
[6] La Trobe Univ, Sch Engn & Math Sci, Bundoora, Vic 3086, Australia
来源：
COMPOSITES PART B-ENGINEERING | 2018年 / 149卷
关键词：
Functionally graded sandwich microplate; State-space based solution; Levy solution; Modified couple stress theory; Size-dependent behaviours; COUPLE STRESS THEORY; SHEAR DEFORMATION-THEORY; HIGHER-ORDER SHEAR; PASTERNAK ELASTIC MEDIUM; CIRCULAR MICRO-PLATES; BENDING ANALYSIS; ISOGEOMETRIC ANALYSIS; PROCESSING TECHNIQUES; NONLOCAL ELASTICITY; LINEAR-THEORY;
D O I：
10.1016/j.compositesb.2018.05.017
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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 micro-plates.
引用
收藏
页码：144 / 164
页数：21
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