Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity

2013 ◽  
Vol 95 ◽  
pp. 612-622 ◽  
Author(s):  
A. Alibeigloo
2019 ◽  
Vol 26 (13-14) ◽  
pp. 1157-1172 ◽  
Author(s):  
Hanen Mallek ◽  
Hanen Jrad ◽  
Mondher Wali ◽  
Amir Kessentini ◽  
Fehmi Gamaoun ◽  
...  

This research makes a first attempt to investigate the dynamic characteristics of functionally graded carbon nanotube–reinforced composite plates and shell structures with surface-bonded piezoelectric layers. A variational formulation is derived based on the linear double director shell theory to ensure realistic parabolic variation of transverse shear strain along the thickness direction. The assumed natural strains method is adopted to enhance the accuracy of the four-node piezoelectric shell element developed in this study. Numerical studies are conducted to validate the efficiency and numerical stability of the proposed model to predict the behavior of piezolaminated composite shell structures. Furthermore, dynamic responses are extended to functionally graded carbon nanotube–reinforced composite shells covered by two active layers. The host structure is reinforced by single-walled carbon nanotubes, which are assumed to be graded through the thickness direction with different types of distributions and embedded in a polymer matrix. The effect of the volume fractions, distribution type, and geometrical parameters of the carbon nanotubes is examined.


2015 ◽  
Vol 18 (2) ◽  
pp. 151-173 ◽  
Author(s):  
Kulmani Mehar ◽  
Subrata Kumar Panda ◽  
Ayushman Dehengia ◽  
Vishesh Ranjan Kar

2017 ◽  
Vol 14 (02) ◽  
pp. 1750019 ◽  
Author(s):  
Kulmani Mehar ◽  
Subrata Kumar Panda

In the present paper, the flexural behavior of functionally graded carbon nanotube reinforced composite (FG-CNTRC) plate is investigated under the combined thermo-mechanical load. The carbon nanotube reinforced composite plate has been modeled mathematically based on the higher order shear deformation theory. The governing differential equation of the FG-CNTRC plate is obtained using the variational method and discretized using the suitable isoparametric finite element steps and solved numerically through a computer code developed in MATLAB environment. The material properties of the carbon nanotube reinforced composite plate are assumed to be temperature dependent and graded in the thickness direction using different grading rules. The validity and the convergence behavior of the presently proposed numerical model have been checked by comparing the responses with results available in published literature and subsequent simulation model developed in ANSYS. The effect of various design parameters (aspect ratios, support conditions, thickness ratios, volume fractions, temperature load and types of grading) on the static, stress and deformation behavior of the FG-CNTRC plate are examined under the influence of different types of loading (uniformly distributed load, sinusoidally distributed load, uniformly distributed line load, sinusoidally distributed line load and point load) and discussed detail.


2019 ◽  
Vol 26 (7-8) ◽  
pp. 581-598 ◽  
Author(s):  
Belal Ahmed Mohamed Mohamed Selim ◽  
Zishun Liu ◽  
Kim Meow Liew

To the best of the authors’ knowledge, this is the first attempt in the open literature to study the active control of the dynamic response of functionally graded carbon nanotube–reinforced composite plates with piezoelectric layers, as target composite plates, subjected to impact loading. The theoretical formulation of the composite plates with piezoelectric layers is developed using the element-free improved moving least-squares Ritz model and the higher-order shear deformation theory. The effective material properties of the carbon nanotube–reinforced composite layer are estimated by the Mori–Tanaka method. The modified nonlinear Hertz contact law is used to identify the contact force between the target composite plates and the spherical impactor. The Newmark time integration method is utilized to calculate the resulting dynamic response. A constant velocity feedback controller is efficiently used for the active control of the dynamic response of the target plates subjected to impact loading. The results revealed that the current model can successfully reduce and suppress the resulting displacement caused by impact loading. Additionally, the effects of some passive configurations on the target plates’ dynamic response are presented. The effect of altering both active and passive control configurations together on the target plates’ dynamic response is discussed as well.


2015 ◽  
Vol 07 (01) ◽  
pp. 1550002 ◽  
Author(s):  
A. Alibeigloo ◽  
K. M. Liew

Based on the theory of elasticity, bending and free vibrational analyses of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beam embedded in piezoelectric layers are carried out, using the state-space differential quadrature method (DQM). Applying the DQM to the governing differential equations and boundary conditions along the longitudinal directions, new state equations about state variables at discrete points are derived. By using the state-space technique across the thickness direction, semi- analytical closed form solutions are derived. The method is validated by comparing numerical results for beams without piezoelectric layers. Both the direct and the inverse piezoelectric effects are investigated and the influence of piezoelectric layers on the mechanical behavior of beam is studied. Furthermore, the effects of CNT volume fraction, kind of CNT distribution, length to thickness ratio and edge boundary conditions on the mechanical behavior of the beams are examined.


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