Prediction of effective moduli of carbon nanotube–reinforced composites with waviness and debonding

Shao, Leishan; Luo, Rui; Bai, Shu‐Lin; Wang, J.

doi:10.1016/j.compstruct.2008.02.011

Cited by 113 publications

(51 citation statements)

References 34 publications

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“…Poisson's ratios of glass fiber and epoxy were 0.2 and 0.3, respectively. 450 GPa and 0.3 were used for Young's modulus and Poisson's ratio of CNTs, respectively [27]. Each CNT have same geometry, 20 nm of diameter and 10 μm of length.…”

Section: Resultsmentioning

confidence: 99%

Micromechanics modeling for the stiffness and strength properties of glass fibers/CNTs/epoxy composites

Kim¹,

Mirza²,

Song³

2010

WIT Transactions on the Built Environment

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This research explores micromechanics modeling for the prediction of stiffness and strength properties of nanocomposites consisting of randomly oriented carbon nanotubes (CNTs) and an epoxy matrix, and multiscale composites consisting of unidirectional glass fibers, randomly orientated CNTs, and an epoxy matrix. For stiffness properties, including Young's modulus, Poisson's ratio, and shear modulus, of CNTs/epoxy composites and glass fiber/CNTs/epoxy composites, the Mori-Tanaka model and Halpin-Tsai equations were used. To obtain the strength properties of the composites, including tensile and compressive strength, several empirical equations were employed. The estimated mechanical properties of nanocomposites were used as matrix properties in the micromechanical models for multiscale composites. The results showed that the stiffness and strength properties of nanocomposites and multiscale composites were improved by integrating CNTs in the systems.

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Section: Resultsmentioning

confidence: 99%

Micromechanics modeling for the stiffness and strength properties of glass fibers/CNTs/epoxy composites

Kim¹,

Mirza²,

Song³

2010

WIT Transactions on the Built Environment

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“…The effect of nanotube waviness on the modulus of nanotube-modified polymers has been analysed by various authors, e.g. [46][47][48]. However, waviness can be considered to simply locally change the orientation of the nanotubes.…”

Section: Modelling Studiesmentioning

confidence: 99%

The effect of carbon nanotubes on the fracture toughness and fatigue performance of a thermosetting epoxy polymer

et al. 2011

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Multi-walled carbon nanotubes, with a typical length of 140 lm and a diameter of 120 nm, have been used to modify an anhydride-cured epoxy polymer. The modulus, fracture energy and the fatigue performance of the modified polymers have been investigated. Microscopy showed that these long nanotubes were agglomerated, and that increasing the nanotube content increased the severity of the agglomeration. The addition of nanotubes increased the modulus of the epoxy, but the glass transition temperature was unaffected. The measured fracture energy was also increased, from 133 to 223 J/m 2 with the addition of 0.5 wt% of nanotubes. The addition of the carbon nanotubes also resulted in an increase in the fatigue performance. The threshold strain-energy release-rate, G th , increased from 24 J/m 2 for the unmodified material to 73 J/m 2 for the epoxy with 0.5 wt% of nanotubes. Electron microscopy of the fracture surfaces showed clear evidence of nanotube debonding and pull-out, plus void growth around the nanotubes, in both the fracture and fatigue tests. The modelling study showed that the modified Halpin-Tsai equation can fit very well with the measured values of the Young's modulus, when the orientation and agglomeration of the nanotubes are considered. The fracture energy of the nanotube-modified epoxies was predicted, by considering the contributions of the toughening mechanisms of nanotube debonding, nanotube pull-out and plastic void growth of the epoxy. This indicated that debonding and pull-out contribute to the toughening effect, but the contribution of void growth is not significant. There was excellent agreement between the predictions and the experimental results.

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“…This means that a moderate waviness in the nanotubes can be justified the difference observed between the experimental data and the micromechanical predictions. Shao et al [34] also proposed a model to predict the effect of curvature on the effective elastic constants of the nanocomposites based on the finite element calculations made by Fisher. The reinforcing effect of a curved nanotube was simulated projecting the waved nanotube onto the vertical and horizontal directions as three fibers of different length.…”

Section: Comparison Of Experimental Results With Modelsmentioning

confidence: 99%

Influence of single-walled carbon nanotubes on the effective elastic constants of poly(ethylene terephthalate)

Río

Poza

Rodrı́guez

et al. 2010

Composites Science and Technology

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Prediction of effective moduli of carbon nanotube–reinforced composites with waviness and debonding

Cited by 113 publications

References 34 publications

Micromechanics modeling for the stiffness and strength properties of glass fibers/CNTs/epoxy composites

Micromechanics modeling for the stiffness and strength properties of glass fibers/CNTs/epoxy composites

The effect of carbon nanotubes on the fracture toughness and fatigue performance of a thermosetting epoxy polymer

Influence of single-walled carbon nanotubes on the effective elastic constants of poly(ethylene terephthalate)

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