Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets

Song, Mitao; Kitipornchai, S.; Yang, Jie

doi:10.1016/j.compstruct.2016.09.070

Cited by 579 publications

(181 citation statements)

References 41 publications

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“…shows that the pattern GPL-X would promote the natural frequency of FG-GPLRC thin shell more effectively. This is consistent with the buckling behavior of the thin composite shell discussed above, and also the free vibration of functionally graded polymer composite thin plate reinforced with graphene nanoplatelets (Song et al, 2017).…”

Section: Buckling Of Fg-gplrc Cylindrical Shell Under Initial Stresssupporting

confidence: 89%

“…Most recently, Yang and his co-workers introduced the FGM concept into graphene based nanocomposites and proposed the multilayer functionally graded graphene platelet reinforced composites (FG-GPLRC). Song et al (2017) studied the dynamic performances of functionally graded multilayer GPL-reinforced composite plates, where GPL concentration varies continuously over thickness direction. Feng et al (2017a, b) investigated the nonlinear bending and vibration of polymer nanocomposite beams reinforced with non-uniformly distributed GPLs.…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell

Liu

Kitipornchai

Chen

et al. 2018

Composite Structures

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208

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Please cite this article as: Liu, D., Kitipornchai, S., Chen, W., Yang, J., Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell, Composite Structures (2018), doi: https://doi. AbstractThe buckling and free vibration of initially stressed functionally graded cylindrical shell reinforced with non-uniformly distributed graphene platelets (GPLs) are investigated using the state-space formulation based on three-dimensional elasticity theory. The shell is under an axial initial stress and composed of multilayers with GPLs uniformly dispersed in each individual layer but its weight fraction changing layer-by-layer along the thickness direction. The modified Halpin-Tsai model and rule of mixtures are employed to evaluate the effective elastic properties of the GPL-reinforced shell. Analytical buckling and frequency solutions are obtained for simply supported shells. Numerical results are presented for functionally graded GPL-reinforced cylindrical shells with five GPL dispersion patterns (GPL-UD, GPL-V, GPL-A, GPL-X, and GPL-O). The effects of GPL weight fraction, dispersion pattern, geometry, and size as well as the influence of initial stress on the buckling and free vibration characteristics of the shell are discussed in detail. It is found that the addition of a small amount of GPLs significantly increases the critical buckling stress and natural frequencies. The GPL-X pattern outperforms other patterns for thin composite shells while the uniform pattern GPL-UD works better for thick composite shells.

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Section: Buckling Of Fg-gplrc Cylindrical Shell Under Initial Stresssupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell

Liu

Kitipornchai

Chen

et al. 2018

Composite Structures

Self Cite

208

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show abstract

“…A modified Halpin-Tsai model is used to calculate the effective Young's modulus of the GPL/polymer composite. We assume that GPLs are effective rectangular solid fillers dispersed in a polymer matrix, and the effective Young's modulus E C of the GPL/polymer composite is approximated by Voigt-Reuss model as follows [18]:…”

Section: Evaluation Of Effective Mechanical Propertiesmentioning

confidence: 99%

“…The functionally graded material (FGM) is a novel type of composite material whose mechanical properties smoothly and continuously vary in a preferred direction [11][12][13][14]. To better use the superior mechanical properties of carbon-based nanofillers and inspire from the concept of FGM, the functionally graded carbon nanotube-reinforced composite (FG-CNTRC) [15][16][17] and functionally graded graphene nanoplatelet reinforced composite (FG-GPLRC) [18][19][20] have been introduced, where the weight fractions of the CNTs and GPLs vary in the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

Bending and Elastic Vibration of a Novel Functionally Graded Polymer Nanocomposite Beam Reinforced by Graphene Nanoplatelets

Wang

Xie

et al. 2019

Nanomaterials

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A novel functionally graded (FG) polymer-based nanocomposite reinforced by graphene nanoplatelets is proposed based on a new distribution law, which is constructed by the error function and contains a gradient index. The variation of the gradient index can result in a continuous variation of the weight fraction of graphene nanoplatelets (GPLs), which forms a sandwich structure with graded mechanical properties. The modified Halpin–Tsai micromechanics model is used to evaluate the effective Young’s modulus of the novel functionally graded graphene nanoplatelets reinforced composites (FG-GPLRCs). The bending and elastic vibration behaviors of the novel nanocomposite beams are investigated. An improved third order shear deformation theory (TSDT), which is proven to have a higher accuracy, is implemented to derive the governing equations related to the bending and vibrations. The Chebyshev–Ritz method is applied to describe various boundary conditions of the beams. The bending displacement, stress state, and vibration frequency of the proposed FG polymer-based nanocomposite beams under uniformly distributed loads are provided in detail. The numerical results show that the proposed distributions of GPL nanofillers can lead to a more effective pattern of improving the mechanical properties of GPL-reinforced composites than the common ones.

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“…The mechanical behaviours of FGM structures have been extensively studied over the past decades, such as [16][17][18][19][20][21][22][23], among many others. In order to effectively make use of a low content of graphene, Song et al [24] proposed the functionally graded multilayer graphene nanocomposite in which the graphene reinforcements are nonuniformly distributed in a layer-wise manner in the thickness direction, and found that the free and forced vibration performances of polymer nanocomposite plates can be further enhanced by distributing more GPLs near the top and bottom surfaces of the plate. Subsequently, Yang and his co-authors studies the buckling and postbuckling [25], and dynamic instability [26] of functionally graded multilayer graphene plateletreinforced composite (GPLRC) beams.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates

2017

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This paper deals with the thermal buckling and postbuckling of functionally graded multilayer nanocomposite plates reinforced with a low content of graphene platelets (GPLs). It is assumed that GPL reinforcements are randomly oriented and uniformly dispersed in each individual GPL-reinforced composite (GPLRC) layer but the concentration follows a layerwise variation across the plate thickness. The modified Halpin-Tsai micromechanics model that takes into account the GPL geometry effect is adopted to estimate the effective Young's modulus of GPLRC layers. Within the framework of the first-order shear deformation theory, the nonlinear governing equations are derived by applying the principle of virtual displacements and then solved by using a differential quadrature-based iteration technique. Parametric studies are conducted to examine the influences of GPL distribution pattern, concentration and geometry, as well as in-plane force on the thermal buckling and postbuckling behaviours. Our results show that distributing more GPLs near the surface layers is capable of reinforcing the thermal buckling and postbuckling performances of GPLRC plates. Whether the thermal buckling and postbuckling resistance increases or decreases with the increases in GPL weight fraction, aspect ratio and width-to-thickness ratio is highly dependent on the GPL distribution pattern.

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Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets

Cited by 579 publications

References 41 publications

Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell

Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell

Bending and Elastic Vibration of a Novel Functionally Graded Polymer Nanocomposite Beam Reinforced by Graphene Nanoplatelets

Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates

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