Bending and free vibration analyses of antisymmetrically laminated carbon nanotube-reinforced functionally graded plates

Abstract

In this paper, a simple four-variable first-order shear deformation theory is further applied to solve the bending and free vibration problems of antisymmetrically laminated functionally graded carbon nanotube (FG-CNT)-reinforced composite plates. The adopted four-variable theory contains only four unknowns in its displacement field which is less than the Reddy’s first-order theory. The equations of motion are derived from the Hamilton’s principle with the help of specific boundary conditions. Laminated FG-CNT-reinforced plates with different distribution types of carbon nanotube through the thickness are considered. The material properties of individual layer are estimated by using the extended rule of mixture. Analytical solutions of various simply supported antisymmetric cross-ply and angle-ply laminates are given for case study. The effects of carbon nanotube volume fraction, length to width ratio and thickness to width ratio on the non-dimensional fundamental frequency and the central deflection are investigated for antisymmetrically laminated FG-CNT-reinforced plates.

Free Vibration Analysis of Laminated Functionally Graded Carbon Nanotube-Reinforced Composite Doubly Curved Shallow Shell Panels Using a New Four-Variable Refined Theory

“…This is because HPR has both sagging and hogging curvature along the two directions, neutralizing the effect of each other, while SHP does not. Table 3, once again confirms the accuracy of the present model by comparing the non-dimensional frequencies of the FG-CNTRC plates with the results of Wang [35].…”

“…Furthermore, the effects of volume fraction of CNTs, distribution type of CNTs, number of layers, CNT fiber orientation and geometrical parameters on the natural frequencies of panels are also investigated in detail. The material properties for the matrix and CNT are given in Table 1 [34,35]. Also, the CNT efficiency parameters η j (j = 1,2,3) associated with a given volume fraction V * CNT are: η 1 = 0.149 and η 2 = η 3 = 0.934 for the case of V * CNT = 0.11; η 1 = 0.150 and η 2 = η 3 = 0.941 for the case of V * CNT = 0.14; η 1 = 0.149 and η 2 = η 3 = 1.381 for the case of V * CNT = 0.17.…”

“…To verify the reliability and accuracy of the present model, several comparison studies were carried out with the results of the previous literature [34,35]. Table 1.…”

Phân tích dao động riêng kết cấu tấm composite lớp gia cường ống nano cacbon có gắn lớp vật liệu áp điện

“…Theo hướng tiếp cận giải tích, Huang và cs. [4] đã tiến hành phân tích tĩnh và dao động riêng của kết cấu tấm composite nhiều lớp gia cường CNT theo lý thuyết biến dạng cắt bậc nhất đơn giản.…”

Thermo-Mechanical Post Buckling Analysis of Multiwall Carbon Nanotube-Reinforced Composite Laminated Beam under Elastic Foundation

“…The researchers showed that the addition of CNT's in the polymer matrices can lead to significant improvement in the composite properties even at very low volume fractions of CNTs. Chavan and Lal [4], Huang et al [5], Vo-duy et al [6] effectively evaluated elastic properties of the uniformly dispersed functionally graded CNT reinforced composites by Mori Tanaka method or extended rule of mixture. Gunay [7] examined the stress transfer behaviour in single walled carbon nanotube reinforced composites.…”