On the free vibration and bending analysis of functionally graded nanocomposite spherical shells reinforced with graphene nanoplatelets: Three-dimensional elasticity solutions

2021 ◽  
Vol 226 ◽  
pp. 111376 ◽  
Author(s):  
Dongying Liu ◽  
Yunying Zhou ◽  
Jun Zhu
Keyword(s):  
Free Vibration ◽  
Three Dimensional ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Spherical Shells ◽  
Bending Analysis ◽  
Elasticity Solutions ◽  
Three Dimensional Elasticity

scholarly journals Free-vibration analysis of multi-directional functionally graded plates based on 3D isogeometric analysis

2019 ◽  
Vol 13 (2) ◽  
pp. 1-11
Author(s):  
Thai Son ◽  
Thai Huu-Tai
Keyword(s):  
Free Vibration ◽  
Isogeometric Analysis ◽  
Three Dimensional ◽  
Structural Response ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Graded Materials ◽  
3D Elasticity ◽  
Three Dimensional Elasticity

In this paper, an efficient computational approach is developed to investigate the free-vibration behavior of functionally graded plates. The problem is developed based on a three-dimensional elasticity theory, which is expected to capture the structural response accurately. Isogeometric analysis is employed as a discretion tool to solve the problems. The accuracy of the proposed approach is verified by comparing the obtained results with those available in the literature. In addition, various examples are also presented to illustrate the efficiency of the proposed approach. There are five types of plates with different configurations of material gradations. The benchmark results for those are also given for future investigations. Keywords: multi-directional functionally graded materials; 3D elasticity; isogeometric analysis; free-vibration.

A quasi-three-dimensional isogeometric model for porous sandwich functionally graded plates reinforced with graphene nanoplatelets

2021 ◽  
pp. 109963622110204
Author(s):  
Nam V Nguyen ◽  
H Nguyen-Xuan ◽  
Jaehong Lee
Keyword(s):  
Free Vibration ◽  
Plate Theory ◽  
Three Dimensional ◽  
Shear Deformation Theory ◽  
Core Layer ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Plate Structures ◽  
Graded Materials ◽  
Fg Plates

The purpose of this study is to present a quasi-three-dimensional (quasi-3D) shear deformation theory for static bending and free vibration analyses of porous sandwich functionally graded (FG) plates with graphene nanoplatelets (GPLs) reinforcement. In addition, we propose a novel sandwich plate model with various outstanding features in terms of structural performance. The quasi-3D theory-based isogeometric analysis (IGA) in conjunction with refined plate theory (RPT) is first exploited to capture adequately the thickness stretching effect for porous sandwich FG plate structures reinforced with GPLs. The Non-Uniform Rational B-Splines (NURBS)-based IGA is employed in order to describe exactly the geometry models as well as approximate the unknown field with higher-order derivatives and continuity requirements while the RPT model includes only four essential variables. The sandwich FG plates consist of a core layer containing internal pores reinforced by GPLs and two functionally graded materials (FGMs) skin layers. Effective mechanical properties can be evaluated by employing the Halpin-Tsai model along with the rule of mixture. Various combinations of two porosity distributions and three GPL dispersions in the core layer are thoroughly investigated. Several numerical investigations are conducted to examine the effects of several key parameters on the static bending and free vibration behaviors of sandwich FG plate structures.

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