Characterization of the vibration, stability and static responses of graphene-reinforced sandwich plates under mechanical and thermal loadings using the refined shear deformation plate theory

Yaghoobi, Hessameddin; Taheri‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬, Farid

doi:10.1177/1099636221993865

Cited by 14 publications

(5 citation statements)

References 51 publications

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“…have attracted many researchers. [13][14][15] The graphene nanoplatelets provide better capability than CNTs in terms of load transfer because of larger specific surface area that results in strong bonding of GNP with matrix material as reported by Rafiee et al 16 Additionally, GNP can be produced with low cost relatively, hence it has attracted many researchers to develop GNP reinforced FG-porous materials. [17][18][19] In past few years, many researchers reported their work on the analysis of GNP reinforced FG-porous structures.…”

Section: Introductionmentioning

confidence: 99%

On the large amplitude vibration of shallow sandwich shells with FG-GNPRP core considering initial geometric imperfections

Shakir

Talha

Hui

et al. 2023

Jnl of Sandwich Structures & Materials

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The present study investigates the influence of initial geometric imperfections on large amplitude vibration of shallow sandwich shells with functionally graded graphene nanoplatelets reinforced porous (FG-GNPRP) core embedded between two aluminium facets. The aluminium core is reinforced with graphene nano-platelets (GNP) and the effective properties such as elastic modulus, and mass density, etc. are estimated using Halpin-Tsai and Voigt models, respectively. The continuous functions are adopted to accomplish micro-structural gradation while creating pores which imparts the variation in material properties along thickness direction. The nonlinear governing equations based on higher order shear deformation theory and Sander’s approximation are derived using variational approach. The nonlinearity is introduced in von-Kármán sense and various imperfection modes such as sine, global and local types are considered in transverse direction. The nonlinear results are accessed using finite element method in conjunction with direct iterative technique. The influence of porosity, GNP weight fraction, imperfection amplitude, thickness, side, and radius ratios on the vibration response of the sandwich shells is explored in detail.

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Section: Introductionmentioning

confidence: 99%

On the large amplitude vibration of shallow sandwich shells with FG-GNPRP core considering initial geometric imperfections

Shakir

Talha

Hui

et al. 2023

Jnl of Sandwich Structures & Materials

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“…Based on the theory of macroscopic mechanics, the vibration, stability and buckling of beams, plates and shells have been studied extensively [1][2][3][4][5]. These studies are very helpful for us to understand their structures and characteristics.…”

Section: Introductionmentioning

confidence: 99%

Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL

Zhang,

Yao

2024

Phys. Scr.

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On the basis of modified strain gradient theory (MSGT), the free vibration of graphene nanoplatelets (GPL) reinforced functionally graded (FG) microbeam on elastic foundation is studied. Firstly, material properties of the composites are calculated by Halpin-Tsai model and linear mixed model. Then, the MSGT and Reddy beam theory are adopted to establish the fundamental equations of the microbeam on the elastic foundation. And the governing differential equations related to the size effect are derived by the Hamiltonian principle and solved by the Navier method. Finally, the influences of the graded distribution, mass fraction, geometric shape of GPL and size effect on the vibration behaviors are discussed in detail. Results show that these parameters have significant influence on the natural frequencies. The methods to improve the natural frequencies of the microbeams are proposed considering the influence of internal microstructure on the overall characteristics. The research results are of great significance to design this kind of micro-nano structures.

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“…Hellal et al 11 investigated vibration and buckling of FG sandwich plates supported by elastic foundation in hygro-thermal environment based on a HSDT. Free vibration, buckling, and static responses of graphene-reinforced sandwich plates under mechanical and thermal loadings were investigated by Yaghoobi and Taheri 12 based on a refined shear deformation plate theory. Other variations of HSDTs to study buckling and vibration behaviors of FG plates under various conditions are also proposed.…”

Section: Introductionmentioning

confidence: 99%

Vibration and buckling analyses of functionally graded plates based on refined plate theory using airy stress function

Monajati

Farid

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, an approach based on the refined plate theory and Airy stress function has been proposed to investigate the vibration and buckling behaviors of functionally graded (FG) rectangular plates. The significant feature of the proposed approach is considering only two unknowns in the displacement field in which the contribution due to shear and bending to the total transverse displacement are clarified. Using the extended Hamilton’s principle and defining an Airy stress function corresponding to the compatibility equation, the equations of motion, which do not explicitly include the in-plane displacements, are derived. The accuracy and effectiveness of the current model is shown by comparing the natural frequencies and buckling loads of various FG rectangular plates calculated by the proposed approach with even three-dimensional (3-D) and quasi-3D solutions. Besides, the exact dynamic response of a square FG plate due to a harmonic central force is investigated using modal analysis. This approach is capable of handling quasi-3D models , by selecting proper functions in the displacement field to consider the thickness stretching effect. By doing this, behavior of FG square plates with various coefficient functions are compared with each other. Therefore, through implementing the Airy stress function, the number of variables is reduced, in turn, simplifying the dynamic model. Consequently, it can be used for wide range study of static and dynamic behaviors of FG plates.

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Characterization of the vibration, stability and static responses of graphene-reinforced sandwich plates under mechanical and thermal loadings using the refined shear deformation plate theory

Cited by 14 publications

References 51 publications

On the large amplitude vibration of shallow sandwich shells with FG-GNPRP core considering initial geometric imperfections

On the large amplitude vibration of shallow sandwich shells with FG-GNPRP core considering initial geometric imperfections

Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL

Vibration and buckling analyses of functionally graded plates based on refined plate theory using airy stress function

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