Nonlinear deformation and stress responses of a graded carbon nanotube sandwich plate structure under thermoelastic loading

Mehar, Kulmani; Panda, Sidhartha

doi:10.1007/s00707-019-02579-5

Cited by 15 publications

(5 citation statements)

References 44 publications

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“…The SBFEM is used to solve the equilibrium equation of each laminated or sandwich beam layer in equation (24). Firstly, a dimensionless scaled boundary coordinate system z, h ð Þ is founded, where the directions of z and h coordinates are consistent with that of the Cartesian coordinates z and x, respectively, as shown in Figure 2.…”

Section: Sbfem Formulationsmentioning

confidence: 99%

“…Moreover, the influence of the multi-walled carbon nanotube reinforcement on the stiffness of sandwich panel was examined by Mehar and Panda. 24 They derived the nanotube-reinforced sandwich structural panel model using the higher-order polynomial functions and FEM. It is worth mentioning that the theoretical results of nanotube reinforced sandwich structure were compared with the bending experimental data including internal elastic properties for the first time.…”

Section: Introductionmentioning

confidence: 99%

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An efficient semi-analytical static and free vibration analysis of laminated and sandwich beams based on linear elasticity theory

Yin

Gao

Lin

2021

The Journal of Strain Analysis for Engineering Design

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Based on the two-dimensional (2D) elastic theory without enforcing any beam assumption, an efficient semi-analytical scaled boundary finite element method (SBFEM) is proposed to solve the bending and free vibration responses of composite laminated and sandwich beams under the mechanical load. The scaled center is placed at infinity, which produces the accurate result by discretizing only the longitudinal direction of the beam structure treated as a one-dimensional (1D) discretization problem. A new kind of 1D high-order spectral element shape functions with the advantages of high accuracy and superior convergence is introduced in SBFEM coordinate system to approximate the geometric model and corresponding variables. The principle of weighted residual in conjunction with the Green’s theorem are applied to obtain the SBFEM governing equation of each layer with respect to radial displacement fields. The solution of equation is indicated analytically by a matrix exponential function, which can be accurately solved by using the precise integration technique (PIT). Finally, an effective and simple stiffness matrix is obtained. By comparing two examples with the solutions based on the finite element method (FEM), the results show that the proposed method has good accuracy and rapid convergence with only a few meshes. The numerical examples are given to investigate the parametric effects of the stacking sequence, thickness ratio, boundary condition, and load form on the variation of the displacement, stress and natural frequency. The results validate that the present technique is also applicable to the complex beam structure with softcore layer inside.

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Section: Sbfem Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An efficient semi-analytical static and free vibration analysis of laminated and sandwich beams based on linear elasticity theory

Yin

Gao

Lin

2021

The Journal of Strain Analysis for Engineering Design

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“…Also, micro cantilevers (C‐F) are mostly employed in bioelectronic sensing technology 6 and atomic force microscopes 7 . Moreover, many studies have been performed on the mechanical characteristics of composite structures reinforced by carbon nanotubes 8–14 . On the other hand, nanowire/rod structures of some chemical molecules are employed in field effect transistor, solar cell, and gas sensor systems 15–17 .…”

Section: Introductionmentioning

confidence: 99%

“…7 Moreover, many studies have been performed on the mechanical characteristics of composite structures reinforced by carbon nanotubes. [8][9][10][11][12][13][14] On the other hand, nanowire/rod structures of some chemical molecules are employed in field effect transistor, solar cell, and gas sensor systems. [15][16][17] It can be stated that small-scaled structures perform a task in living physiology as well as such applications.…”

Section: Introductionmentioning

confidence: 99%

A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method

Numanoğlu

Ersoy

Akgöz

et al. 2021

Math Methods in App Sciences

125

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In this study, size‐dependent thermo‐mechanical vibration analysis of nanobeams is examined. Size‐dependent dynamic equations are obtained by implementing Hamilton's principle based on Timoshenko beam theory and then combined with stress equation of nonlocal elasticity theory. The separation of variables total method and finite element formulation is utilized to solve the eigenvalue problem. Local and nonlocal stiffness and mass matrices are firstly derived by using a weighted residual method for the finite element analysis. The accuracy of the finite element solution is demonstrated by comparisons with the earlier studies. Then, nondimensional frequencies of nanobeams with different boundary conditions based on a nonlocal finite element method are presented for vibration analysis that cannot be analytically solved under different parameters. It is aimed to emphasize the importance of the nonlocal finite element method in the size‐dependent vibration behavior of nanobeams which form different components of nano‐electro‐mechanical systems.

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“…Their important achievement was that the thermal stress and adding a small amount of CNTs could make a remarkable effect on the wave velocity in the structure. Also, Mehar et al [16,[48][49][50][51] examined the mechanical responses of CNT reinforced composites with the aid of HSDT. In addition, the stability of the complex structure is investigated in Refs [52,53].…”

Section: Introductionmentioning

confidence: 99%

On the wave propagation of the multi-scale hybrid nanocomposite doubly curved viscoelastic panel

Al-Furjan

Oyarhossein

Habibi

et al. 2021

Composite Structures

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Nonlinear deformation and stress responses of a graded carbon nanotube sandwich plate structure under thermoelastic loading

Cited by 15 publications

References 44 publications

An efficient semi-analytical static and free vibration analysis of laminated and sandwich beams based on linear elasticity theory

An efficient semi-analytical static and free vibration analysis of laminated and sandwich beams based on linear elasticity theory

A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method

On the wave propagation of the multi-scale hybrid nanocomposite doubly curved viscoelastic panel

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