Evaluations of the effective material properties of carbon nanotube-based composites using a nanoscale representative volume element

Liu, Yijun; Chen, X.L

doi:10.1016/s0167-6636(02)00200-4

Cited by 397 publications

(188 citation statements)

References 34 publications

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“…Now, the thermoelastic constitutive relation is employed for the CNT-reinforced sandwich panel for the evaluation of stress tensor according to the generalised Hooke's law including the influence of the thermal field and expressed as: 33 12 QG  , 44 13 QG  , 55 23 QG  , 13 23 12…”

Section: U X Y Z T U X Y Zu X Y Z U X Y Z U X Y V X Y Z T V X Y Zv X mentioning

confidence: 99%

“…Some of the contributions related to the evaluation of the final properties of nanotube-reinforced composite including the effect of shape, size and distribution are discussed in the following lines. Liu and Chen [13] employed the circular representative volume element (RVE) technique for the examination of CNTRC structural properties. Similarly, few more advanced techniques or tools have been utilised in the recent past by the researchers for the computation of mechanical, thermal and thermomechanical properties of the CNT via molecular dynamic (MD) simulation [14,15] and MoriTanaka scheme [16] for the randomly distributed CNTRC panel.…”

Section: Introductionmentioning

confidence: 99%

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Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

2017

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The bending responses of nanotube-reinforced curved sandwich shell panel structure are studied under the influence of the thermomechanical loading. Further, the temperature dependent material properties of the sandwich structure are assumed to evaluate the exact responses. In addition, the face sheets of the sandwich construction are modeled using different grading pattern through the panel thickness. The final form of the equilibrium equation of the deflected sandwich structure obtained by minimising the total potential energy functional. Now, the equation is solved computationally via a suitable computer code (MATLAB) using the novel higher-order kinematics including the finite element method. The constancy and the accuracy of the current finite element solutions are verified by solving a different kind of numerical examples as same as the published examples. The effect of parameters associated with structural stiffness and the flexural behaviour of the nanotube-reinforced curved sandwich structural panel are examined together with the unlike temperature distributions (uniform and linear) and discussed the final conclusions in detail.

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Section: U X Y Z T U X Y Zu X Y Z U X Y Z U X Y V X Y Z T V X Y Zv X mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

2017

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“…Continuum mechanics based finite element analysis (FEA) methods have been successfully used to investigate the mechanical behavior of PNCs reinforced with CNT (Liu and Chen, 2003;Chen and Liu, 2004;Gade, 2005;Hu et al, 2005;Wan et al, 2005;Ashrafi and Hubert, 2006;Pantano et al, 2008;Hernández-Pérez and Avilés, 2010). FEA has also been used to study the interfacial stress transfer and possible stress singularities (Xu and Sengupta, 2005), as well as the effect of interphase thickness on the elastic properties of PNC (Wan et al, 2005;Hernández-Pérez and Avilés, 2010).…”

Section: Tensile Modulus Prediction Of Cnt/pp Nanocompositesmentioning

confidence: 99%

3D RVE Models Able to Capture and Quantify the Dispersion, Agglomeration, and Orientation State of CNT in CNT/PP Nanocomposites

2016

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The focus of this study is to investigate the capabilities of three dimensional (3D) RVE models in predicting the tensile modulus of carbon nanotube/polypropylene (CNT/PP) composites, which differ slightly in the dispersion, agglomeration, and orientation states of CNT within the PP matrix. The composites are made using melt mixing followed by either injection molding or melt spinning of fibers. The dispersion, agglomeration, and orientation of CNT within the PP are experimentally altered by using a surfactant and by forcing the molten material to flow through a narrow orifice (melt spinning) that promotes alignment of CNT along the flow/drawing direction. An elaborate image analysis technique is used to quantify the CNT characteristics in terms of probability distribution functions (PDF). The PDF are then introduced to the 3D RVE models that also account for the CNT-PP interfacial interactions. It is concluded that the 3D RVE models can accurately distinguish among the different cases (dispersion, distribution, geometry, and alignment of CNT) as the predicted tensile modulus is in good agreement with the experimentally determined one.

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“…Song and Youn [2006] have investigated the effective properties using the asymptotic expansion homogenization method where again perfect interfacial bonding has been assumed. Liu and Chen [2003] have implemented a three dimensional representative volume element (RVE) and have used FEM to obtain effective mechanical properties; in this work perfect bonding between matrix and inclusion has also been assumed. Li and Chou [2003] have adopted a structural mechanics approach to obtain effective properties of cylindrical nanocomposites RVEs in which they have used nonlinear trusses to simulate nonbonding interactions along the interface.…”

Section: Introductionmentioning

confidence: 99%

Effective elastic properties of nanotube reinforced composites with slightly weakened interfaces

Esteva

Spanos

2009

JOMMS

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In this paper a micromechanics approach is presented for determining the effective elastic properties of single-walled carbon nanotube (SWCNT) reinforced composites, while accounting for imperfect bonding in the matrix-inclusion interface. For this purpose, a linear spring layer of vanishing thickness is introduced to represent the interface. Furthermore, the well known Mori-Tanaka (MT) method, in conjunction with the Eshelby's tensor, is modified to determine the effective elastic properties. The inclusions are considered to be either perfectly aligned infinite long cylinders or aligned ellipsoidal inclusions with a given aspect ratio; cases of perfect alignment or of randomly oriented fibers are treated. The numerical results show that the interface weakening influences the nanocomposite properties significantly only for high values of SWCNT volume fraction. Since most of the currently conducted experiments involve composites which contain small volume fractions, it is thus reasonable based on the findings of this paper to assume perfect bonding for low nanotube volumetric contents.

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Evaluations of the effective material properties of carbon nanotube-based composites using a nanoscale representative volume element

Cited by 397 publications

References 34 publications

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

3D RVE Models Able to Capture and Quantify the Dispersion, Agglomeration, and Orientation State of CNT in CNT/PP Nanocomposites

Effective elastic properties of nanotube reinforced composites with slightly weakened interfaces

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