Exact solutions for static and dynamic analyses of carbon nanotube-reinforced composite plates with Pasternak elastic foundation

AbstractIn present paper, buckling analysis is performed over laminated composite beam incorporating multi walled carbon nanotube (MWCNT) polymer matrix and then reinforced with E-glass fiber in an orthotropic manner under inplane varying thermal and mechanical loads by finite element method (FEM). Aim of the study is to develop a model which accurately perform the buckling deterministic analysis of multi-walled carbon nanotube reinforced composite laminated beam (MWCNTRCLB) with the evaluation of material property by applying Halpin–Tsai model. Combined Higher order shear deformation theory and Pasternak elastic foundation based on von Karman nonlinear kinematics and Winkler cubic nonlinearity respectively, are successfully implemented. Through minimum potential energy principle, generalized static analysis is performed using FEM, based on interactive MATLAB coding. The critical buckling load and critical buckling temperature is presented under the action of inplane variable mechanical and thermal load, with different boundary conditions, beam thickness ratio and MWCNT aspect ratio, variation with MWCNT volume fraction and coefficient of thermal expansion, with and without foundation for linear and nonlinear cases.

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Large amplitude flutter analysis of functionally graded carbon nanotube reinforced composite plates with piezoelectric layers on nonlinear elastic foundation

Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering ◽

10.1177/0954410017736546 ◽

2017 ◽

Vol 233 (2) ◽

pp. 533-544 ◽

Cited By ~ 1

Author(s):

Ali A Yazdi

Keyword(s):

Carbon Nanotube ◽

Elastic Foundation ◽

Large Amplitude ◽

Composite Plates ◽

Functionally Graded ◽

Governing Equations ◽

Nonlinear Elastic Foundation ◽

Reinforced Composite ◽

Piezoelectric Layers ◽

Nonlinear Elastic

This paper presents a study of geometrical nonlinear flutter of functionally graded carbon nanotube-reinforced composite plates embedded with piezoelectric layers subjected to supersonic flow on nonlinear elastic foundation. The governing equations of the system are obtained using the classical plate theory and von Karman geometric nonlinearity. The linear piston theory is utilized to evaluate the aerodynamic pressure. Galerkin method is used to reduce the governing equations to an ordinary differential equation with respect to time in the form of Duffing equation. The homotopy perturbation method is employed to study the effect of large amplitude on the nondimensional flutter pressure. It is assumed that carbon nano-tubes are distributed along thickness in two different manners namely uniform distribution and functionally graded. The effects of volume fraction of carbon nanotubes, large amplitude, different distribution types, piezoelectric layers, and applied voltage on flutter pressure are studied.

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Static and Free Vibration Analyses of Functionally Graded Carbon Nanotube Reinforced Composite Plates using CS-DSG3

International Journal of Computational Methods ◽

10.1142/s0219876218501335 ◽

2019 ◽

Vol 17 (03) ◽

pp. 1850133 ◽

Cited By ~ 3

Author(s):

T. Truong-Thi ◽

T. Vo-Duy ◽

V. Ho-Huu ◽

T. Nguyen-Thoi

Keyword(s):

Carbon Nanotubes ◽

Carbon Nanotube ◽

Free Vibration ◽

Numerical Solutions ◽

Composite Plates ◽

Functionally Graded ◽

Triangular Element ◽

Reinforced Composite ◽

Strain Smoothing ◽

Discrete Shear Gap

This study presents an extension of the cell-based smoothed discrete shear gap method (CS-DSG3) using three-node triangular elements for the static and free vibration analyses of carbon nanotube reinforced composite (CNTRC) plates. The single-walled carbon nanotubes (SWCNTs) are assumed to be uniformly distributed (UD) and functionally graded (FG) distributed along the thickness direction. The material properties of carbon nanotube-reinforced composite plates are estimated according to the rule of mixture. The governing equations are developed based on the first-order shear deformation plate theory (FSDT). In the CS-DSG3, each triangular element will be divided into three sub-triangles, and in each sub-triangle, the stabilized discrete shear gap method is used to compute the strains and to avoid the transverse shear locking. Then the strain smoothing technique on the whole triangular element is used to smooth the strains on these three sub-triangles. Effects of several parameters, such as the different distribution of carbon nanotubes (CNTs), nanotube volume fraction, boundary condition and width-to-thickness ratio of plates are investigated. In addition, the effect of various orientation angles of CNTs is also examined in detail. The accuracy and reliability of the proposed method are verified by comparing its numerical solutions with those of other available results in the literature.

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Frequency optimization of laminated functionally graded carbon nanotube reinforced composite quadrilateral plates using smoothed FEM and evolution algorithm

Journal of Composite Materials ◽

10.1177/0021998317737831 ◽

2017 ◽

Vol 52 (14) ◽

pp. 1971-1986 ◽

Cited By ~ 7

Author(s):

T Vo-Duy ◽

T Truong-Thi ◽

V Ho-Huu ◽

T Nguyen-Thoi

Keyword(s):

Carbon Nanotube ◽

Optimization Problem ◽

Volume Fraction ◽

Differential Evolution Algorithm ◽

Composite Plates ◽

Functionally Graded ◽

Optimization Approach ◽

Reinforced Composite ◽

Design Variables ◽

Evolution Algorithm

The paper presents an efficient numerical optimization approach to deal with the optimization problem for maximizing the fundamental frequency of laminated functionally graded carbon nanotube-reinforced composite quadrilateral plates. The proposed approach is a combination of the cell-based smoothed discrete shear gap method (CS-DSG3) for analyzing the first natural frequency of the functionally graded carbon nanotube reinforced composite plates and a global optimization algorithm, namely adaptive elitist differential evolution algorithm (aeDE), for solving the optimization problem. The design variables are the carbon nanotube orientation in the layers and constrained in the range of integer numbers belonging to [−900 900]. Several numerical examples are presented to investigate optimum design of quadrilateral laminated functionally graded carbon nanotube reinforced composite plates with various parameters such as carbon nanotube distribution, carbon nanotube volume fraction, boundary condition and number of layers.

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