Unilateral and bilateral buckling of functionally graded corrugated thin plates reinforced with graphene nanoplatelets

Yang, Jie; Dong, Jianghui; Kitipornchai, S.

doi:10.1016/j.compstruct.2018.11.025

Cited by 48 publications

(4 citation statements)

References 46 publications

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“…The influences of GNPs distribution scheme, weight fraction, plate's geometry and boundary conditions on the response were investigated. The buckling behaviour of trapezoidal corrugated multilayer functionally graded GNPs reinforced nanocomposites thin plates subjected to various mechanical loadings, including in-plane uniform shear, uniaxial compression and a combination of both was investigated by Yang et al [27]. The unilateral and bilateral buckling responses were evaluated using an analytical and the Ritz methods, respectively.…”

Section: Introductionmentioning

confidence: 99%

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

Taheri‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬

2021

Jnl of Sandwich Structures & Materials

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An analytical investigation was carried out to assess the free vibration, buckling and deformation responses of simply-supported sandwich plates. The plates constructed with graphene-reinforced polymer composite (GRPC) face sheets and are subjected to mechanical and thermal loadings while being simply-supported or resting on different types of elastic foundation. The temperature-dependent material properties of the face sheets are estimated by employing the modified Halpin-Tsai micromechanical model. The governing differential equations of the system are established based on the refined shear deformation plate theory and solved analytically using the Navier method. The validation of the formulation is carried out through comparisons of the calculated natural frequencies, thermal buckling capacities and maximum deflections of the sandwich plates with those evaluated by the available solutions in the literature. Numerical case studies are considered to examine the influences of the core to face sheet thickness ratio, temperature variation, Winkler- and Pasternak-types foundation, as well as the volume fraction of graphene on the response of the plates. It will be explicitly demonstrated that the vibration, stability and deflection responses of the sandwich plates become significantly affected by the aforementioned parameters.

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Section: Introductionmentioning

confidence: 99%

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

Taheri‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬

2021

Jnl of Sandwich Structures & Materials

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“…Some researchers have chosen classical plate theory [6] (Kirchhoff theory) for the analysis of FG-GRC. Yang et al [7] investigated the critical buckling load of spinning FG-GRC cylindrical shells by using classical plate theory. Gao et al [8] studied the FG-GRC porous plates using classical plate theory and solved the nonlinear free vibration of the plates using the differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Effect of Thickness Stretching on Bending and Free Vibration Behaviors of Functionally Graded Graphene Reinforced Composite Plates

Wang

2021

Applied Sciences

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The focus of this paper is the effect of thickness stretching on the static and dynamic behaviors of functionally graded graphene reinforced composite (FG-GRC) plates. The bending and free vibration behaviors of FG-GRC plates under simply supported conditions are studied based on two plate theories, with or without taking into account the thickness stretching effect, respectively, and the effect of thickness stretching on FG-GRC plates is analyzed by comparing the calculated results of the two types of plate theories. The properties of composite materials are estimated by the modified Halpin-Tsai model and rule of mixture, Hamilton’s principle is used to construct its governing equation, and the Navier solution method is used to find the closed solution. The numerical results show that the effect of thickness stretching depends mainly on the transverse anisotropy of the FG-GRC plates, and the FG-GRC plates are most significantly affected by the thickness stretching when the graphene nanoplatelets (GPLs) are asymmetrically distributed, and the effect of thickness stretching tends to increase as the total number of layers and the weight fraction of GPLs increase.

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“…Yang and his colleagues conducted extensive research on vibration behaviors of GPL-reinforced structures. [18][19][20][21][22] Within the framework of the first-order shear deformation plate theory, Song et al 23 carried out free and forced vibrations of FG multilayer GPL reinforced composite plates. Yang et al 24 presented the thermoelastic bending behavior of novel FG polymer nanocomposite rectangular plate reinforced with GPLs.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock

Zhao

Wang

Pan

et al. 2020

Advanced Composites Letters

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This article presents an analytical investigation on vibration characteristics of rotating graphene nanoplatelet (GPL)-reinforced plates subjected to rub-impact and thermal shock. The effective material properties are assumed to vary continuously and smoothly along the thickness direction of the plate and are determined via the Halpin–Tsai micromechanics model together with the rule of mixture. Considering the gyroscopic effect, the equations of motion are derived by adopting the Hamilton’s principle based on the Kirchhoff’s plate theory. Then, the Galerkin method and the small parameter perturbation method are utilized to obtain the free and forced vibration results for the rotating plate. A detailed parametric study is conducted to examine the effects of the GPL weight fraction, GPL distribution pattern, length-to-thickness ratio and length-to-width ratio of GPLs, and the rotating speed on free vibration characteristics of the nanocomposite plate. Attention is also given to the influences of the GPL weight fraction, thermal flow, and friction coefficient on forced vibration responses of the plate. The obtained results can play a role in the design of a rotating GPL-reinforced plate structure to achieve significantly improved mechanical performance.

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Unilateral and bilateral buckling of functionally graded corrugated thin plates reinforced with graphene nanoplatelets

Cited by 48 publications

References 46 publications

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

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

Effect of Thickness Stretching on Bending and Free Vibration Behaviors of Functionally Graded Graphene Reinforced Composite Plates

Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock

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