Micromechanics prediction of the effective elastic moduli of graphene sheet-reinforced polymer nanocomposites

Ji, Xiang-Ying; Cao, Yanping; Feng, Xi‐Qiao

doi:10.1088/0965-0393/18/4/045005

Cited by 159 publications

(108 citation statements)

References 34 publications

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“…In most of the reported literature, the mechanical properties increased up to 1 wt% of graphene and decreased afterwards which can be attributed to agglomeration of graphene and generation of cracks around the graphene agglomerates [90] [139]. The MTM showed increasing values of Young's modulus with increasing weight fraction of graphene [140]. However, in atomistic simulation, the results showed that Young's modulus increases up to certain weight fraction of graphene and then starts decreasing depending on the parameters [43].…”

Section: Weight Fractionmentioning

confidence: 99%

Modeling and Simulation of Graphene Based Polymer Nanocomposites: Advances in the Last Decade

Atif¹,

Inam²

2016

Graphene

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Modeling and simulation allow methodical variation of material properties beyond the capacity of experimental methods. The polymers are one of the most commonly used matrices of choice for composites and have found applications in numerous fields. The stiff and fragile structure of monolithic polymers leads to the innate cracks to cause fracture and therefore the engineering applications of monolithic polymers, requiring robust damage tolerance and high fracture toughness, are not ubiquitous. In addition, when "many-parts" cling together to form polymers, a labyrinth of molecules results, which does not offer to electrons and phonons a smooth and continuous passageway. Therefore, the monolithic polymers are bad conductors of heat and electricity. However, it is well established that when polymers are embedded with suitable entities especially nano-fillers, such as metallic oxides, clays, carbon nanotubes, and other carbonaceous materials, their performance is propitiously improved. Among various additives, graphene has recently been employed as nano-filler to enhance mechanical, thermal, electrical, and functional properties of polymers. In this review, advances in the modeling and simulation of grapheme based polymer nanocomposites will be discussed in terms of graphene structure, topographical features, interfacial interactions, dispersion state, aspect ratio, weight fraction, and trade-off between variables and overall performance.

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Section: Weight Fractionmentioning

confidence: 99%

Modeling and Simulation of Graphene Based Polymer Nanocomposites: Advances in the Last Decade

Atif¹,

Inam²

2016

Graphene

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“…(23)- (27), the coefficients of strain concentration tensor Ay have been derived in Eqs. (15)- (20).…”

Section: Efîective Elastic Properties Due To Agglomeration Effect Witmentioning

confidence: 99%

“…Moreover, from the experimental works, it is also clear that complete deagglomeration may not be practically feasible [1][2][3][4][5][6][7][8][9][10][11]. The stiffening effect of graphene sheets dispersed in polymer nanocomposites using the Mori-Tanaka micromechanics method has been investigated [20]. The effective elastic moduli including the agglomeration effects of graphene sheet-reinforced composites are predicted for both aligneci and random orientations.…”

Section: Introductionmentioning

confidence: 99%

Modeling of the Effective Elastic Properties of Multifunctional Carbon Nanocomposites Due to Agglomeration of Straight Circular Carbon Nanotubes in a Polymer Matrix

Jarali

Basavaraddi

Kiefer

et al. 2013

Journal of Applied Mechanics

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tn the present study, the effective elastic properties of multifunctional carbon nanotube composites are derived due to the agglomeration of straight circular carbon nanotubes dispersed in soft polymer matrices. The agglomeration ofCNTs is common due to the size of nanotubes, which is at nanoscale s. Eurthermore, it has been proved that straight circular CNTs provide higher stiffness and elastic properties than any other shape of the nanofibers. Therefore, in the present study, the agglomeration effect on the effective elastic moduli of the CNT polymer nanocomposites is investigated when circular CNTs are aligned straight as well as distributed randomly in the matrix. The Mori-Tanaka micromechanics theory is adopted to newly derive the expressions for the effective elastic moduli of the CNT composites including the effect of agglomeration, tn this direction, analytical expressions are developed to establish the volume fraction relationships for the agglomeration regions with high, and dilute CNT concentrations. The volume of the matrix in which there may not be any CNTs due to agglomeration is also included in the present formulation. The agglomeration volume fractions are subsequently adopted to develop the effective relations of the composites for transverse isotropy and isotropic straight CNTs. The validation of the modeling technique is assessed with results reported, and the variations in the effective properties for high and dilute agglomeration concentrations are investigated.

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“…Graphene-based polymer composites (Ji et al (2010)) are widely studied using micro-mechanics tools like the scheme by Mori and Tanaka 3 (1973). However, to derive the effective properties of such composite materials, the Eshelby's tensor for the Graphene sheet accounting for its real geometrical morphology is less discussed and remain a challenging task.…”

Section: Introductionmentioning

confidence: 99%

Non-linear elastic moduli of Graphene sheet-reinforced polymer composites

Elmarakbi

Wang

Azoti

2016

International Journal of Solids and Structures

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The non-linear elastic moduli of the Graphene sheet-reinforced polymer composite are investigated using a combined molecular mechanics theory and continuum homogenisation tools. Under uniaxial loading, the linear and non-linear constitutive equations of the Graphene sheet are derived from a Taylor series expansion in powers of strains. Based on the modified Morse potential, the elastic moduli and Poisson's ratio are obtained for the Graphene sheet leading to the derivation of the non-linear stiffness tensor. For homogenisation purpose, the strain concentration tensor is computed by the means of the irreducible decomposition of the Eshelby's tensor for an arbitrary domain. Therefore, a mathematical expression of the averaged Eshelby's tensor for a rectangular shape is obtained for the Graphene sheet. Under the Mori-Tanaka micro-mechanics scheme, the effective non-linear behaviour is predicted for various micro-parameters such as the aspect ratio and mass fractions. Numerical results highlight the effect of such micro-parameters on the anisotropic degree of the composite.

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Micromechanics prediction of the effective elastic moduli of graphene sheet-reinforced polymer nanocomposites

Cited by 159 publications

References 34 publications

Modeling and Simulation of Graphene Based Polymer Nanocomposites: Advances in the Last Decade

Modeling and Simulation of Graphene Based Polymer Nanocomposites: Advances in the Last Decade

Modeling of the Effective Elastic Properties of Multifunctional Carbon Nanocomposites Due to Agglomeration of Straight Circular Carbon Nanotubes in a Polymer Matrix

Non-linear elastic moduli of Graphene sheet-reinforced polymer composites

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