Vibration frequency of graphene based composites: A multiscale approach

Chandra, Y.; Chowdhury, Rajib; Scarpa, Fabrizio; Adhikari, Sondipon; Sienz, Johann; Arnold, C.; Murmu, T.; Bould, David

doi:10.1016/j.mseb.2011.12.024

Cited by 77 publications

(27 citation statements)

References 56 publications

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“…They also demonstrated that graphene nanoribbons as additives for mechanical properties enhancement in composites exhibit better performance than that of CNTs-reinforced composites yet at an order of magnitude lower cost (Rafiee et al, 2010). Chandra et al (2012) proposed a multiscale finite element method to study the natural frequencies and mode shapes of graphene composite structures. Young et al (2012) gave a comprehensive review of the mechanics of graphene-based nanocomposites, including the preparation and characterization of different forms of graphene.…”

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

204

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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: 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

204

View full text Add to dashboard Cite

show abstract

“…This combination is also known as the multiscale approach. Chandra et al [32] utilized this multiscale approach for vibration frequency analysis of graphene/polymer composites; in this study, graphene was tested using an atomistic finite element method, and the polymer matrix was tested using a continuum finite element method.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal elasticity theory for graphene modeling and simulation: prospects and challenges

Liew

Zhang

2017

Journal of Modeling in Mechanics and Materials

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Abstract:This paper presents a literature review of recent research studies on the applications of nonlocal elasticity theory in the modeling and simulation of graphene sheets (GSs). The history, development and excellent properties of GSs are introduced. The details of nonlocal elasticity theory are also presented. A systematic introduction to the application of nonlocal elasticity on linear modeling and nonlinear modeling for single-layer graphene sheets (SLGSs) and multilayered graphene sheets (MLGSs) is also provided. The necessity of determining mechanical parameters and nonlocal parameters is discussed. Recommendations for future work are particularly presented. This work is intended to review the development of GSs, give an introduction to the research studies on nonlocal elasticity theory in the modeling of GSs, and provide recommendations for future research.

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“…231 The exceptional vibration frequency, mode shapes and large stiffness of graphene/polymer nanocomposite made them a potential substitute for the conventional composites. 205 The impact of boundary conditions and geometrical configurations [AC (armchair) and ZZ] on the overall stiffness of nanocomposite was studied with the help of multiscale (atomistic and continuum FEM) approach. In an inclusive study done by Zheng et al, 207 efforts have been directed toward the behavior of dispersion and shear-induced orientation of anisotropic nanoparticles of graphene filled with polymers.…”

Section: Poly Methyl Methacrylate-based Graphene Nanocompositesmentioning

confidence: 99%

Atomistic modeling of graphene/hexagonal boron nitride polymer nanocomposites: a review

Verma

Parashar

Packirisamy

2017

WIREs Comput Mol Sci

102

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Due to their exceptional properties, graphene and hexagonal boron nitride (h‐BN) nanofillers are emerging as potential candidates for reinforcing the polymer‐based nanocomposites. Graphene and h‐BN have comparable mechanical and thermal properties, whereas due to high band gap in h‐BN (~5 eV), have contrasting electrical conductivities. Atomistic modeling techniques are viable alternatives to the costly and time‐consuming experimental techniques, and are accurate enough to predict the mechanical properties, fracture toughness, and thermal conductivities of graphene and h‐BN‐based nanocomposites. Success of any atomistic model entirely depends on the type of interatomic potential used in simulations. This review article encompasses different types of interatomic potentials that can be used for the modeling of graphene, h‐BN, and corresponding nanocomposites, and further elaborates on developments and challenges associated with the classical mechanics‐based approach along with synergic effects of these nano reinforcements on host polymer matrix. This article is categorized under: Molecular and Statistical Mechanics > Molecular Mechanics Structure and Mechanism > Computational Materials Science Molecular and Statistical Mechanics > Molecular Dynamics and Monte‐Carlo Methods

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Vibration frequency of graphene based composites: A multiscale approach

Cited by 77 publications

References 56 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

Nonlocal elasticity theory for graphene modeling and simulation: prospects and challenges

Atomistic modeling of graphene/hexagonal boron nitride polymer nanocomposites: a review

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