Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory

First Published October 15, 2020 Research Article

Authors

12
 
Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
 
Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
by this author
, 3
 
Department of Solid Mechanics, Le Quy Don Technical University, Hanoi City, Vietnam

by this author
, 456
 
Advanced Materials and Structures Laboratory, VNU Hanoi, University of Engineering and Technology, Hanoi, Vietnam
 
Infrastructure Engineering Program, VNU Hanoi, Vietnam-Japan University, Hanoi, Vietnam
 
National Research Laboratory, Department of Civil and Environmental Engineering, Sejong University, Seoul, Korea
by this author
,
12
 
Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
 
Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
by this author
, 3
 
Department of Solid Mechanics, Le Quy Don Technical University, Hanoi City, Vietnam
by this author
, 3
 
Department of Solid Mechanics, Le Quy Don Technical University, Hanoi City, Vietnam
by this author
...
First Published Online: October 15, 2020

A novel nonlocal shear deformation theory is established to investigate functionally graded nanoplates. The significant benefit of this theory is that it consists of only one unknown variable in its displacement formula and governing differential equation, but it can take into account both the quadratic distribution of the shear strains and stresses through the plate thickness as well as the small-scale effects on nanostructures. The numerical solutions of simply supported rectangular functionally graded material nanoplates are carried out by applying the Navier procedure. To indicate the accuracy and convergence of this theory, the present solutions have been compared with other published results. Furthermore, a deep parameter study is also carried out to exhibit the influence of some parameters on the response of the functionally graded material nanoplates.

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