Effects of the distribution and geometry of carbon nanotubes on the macroscopic stiffness and microscopic stresses of nanocomposites

Luo, Dongmei; Wang, Wen Xue; Takao, Yoshihiro

doi:10.1016/j.compscitech.2007.05.005

Cited by 67 publications

(36 citation statements)

References 27 publications

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“…The random orientation and waviness of CNT, with respect to the applied load direction and the presence of agglomerates result in drastic reduction of the effective CNT length and thus of the CNT reinforcing efficiency (Fisher et al, 2002;Shi et al, 2004;Anumandla and Gibson, 2006). The CNTpolymer interfacial interactions are also important as they dictate the performance of the PNCs, including modulus, strength, and stiffness (Andrews et al, 2002;Luo et al, 2007). Therefore, more research is needed in order to realize the full potential of CNT/ polymer composites in engineering applications.…”

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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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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“…denotes the Dirac delta function, x p is the coordinate of the force and Ω is the frequency of excitation. For nonlinear vibration analysis, the transverse displacement is expressed as, w(x, t) = ϕ(x)q(t) (23) where ϕ(x) is the function of displacement and q(t) is the function of time. The function ϕ(x) is extracted from …”

Section: E Imentioning

confidence: 99%

“…In this case, some of the researchers proved that for modeling of the RVE, the CNTs and its surrounding resin connectivity area can be neglected [12,19,22]. For accurate modeling of these connections, some researchers used multi-scale method [23][24][25]. Another effective factor in the modeling of the RVE is the length of the nanotubes enclosing resin; Wan et al studied the effect of the CNTs length on the mechanical properties of the RVE [26].…”

Section: Introductionmentioning

confidence: 96%

“…Another effective factor in the modeling of the RVE is the length of the nanotubes enclosing resin; Wan et al studied the effect of the CNTs length on the mechanical properties of the RVE [26]. Mechanical behavior of the RVE has been investigated by several researchers [21][22][23][24][25][26][27][28]. Till now, only limited studies have been devoted to the investigation of the vibration behavior of VE [12,27].…”

Section: Introductionmentioning

confidence: 98%

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A study on nonlinear vibration behavior of CNT-based representative volume element

Jamal‐Omidi

ShayanMehr

Shokrollahi

et al. 2016

Aerospace Science and Technology

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“…In approaching this same problem, Vijay and Gibson considered both an orientation-averaged closed-form solution for wavy CNTs [76] and FEM based results. Luo et al [78] considered regular and staggered arrays of wavy CNTs in a polymer matrix by means of asymptotic homogenization modeling, and thereby demonstrated that the longitudinal Young's modulus of nanocomposites rapidly decreases as the waviness of the CNTs increases.…”

Section: Effect Of Cnt Wavinessmentioning

confidence: 99%

Multiscale Modeling of Polymer–Nanotube Nanocomposites

Cho

Yang

2014

Polymer Nanotube Nanocomposites

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Ever since the successful formation of carbon nanotube (CNT)-based polymer composites was first reported, research into their synthesis, measurement and characterization, and modeling and analysis has extensively grown to become a mainstream field of advanced materials science. This chapter briefly summarizes the various multiscale computational modeling approaches for CNT-polymer nanocomposites at various length scales. We also introduce a fully and sequentially integrated inverse multiscale analysis to characterize the elastic and inelastic behavior of CNT-polymer nanocomposites by combining atomistic simulation and a continuum micromechanics model. Fundamentals of the MD simulation, average-field theory, and homogenization theory are provided along with useful mathematical formulations for the effective properties of nanocomposites that are analogous to their constitutive relation.

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Effects of the distribution and geometry of carbon nanotubes on the macroscopic stiffness and microscopic stresses of nanocomposites

Cited by 67 publications

References 27 publications

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

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

A study on nonlinear vibration behavior of CNT-based representative volume element

Multiscale Modeling of Polymer–Nanotube Nanocomposites

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