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Research Articles

Effect of Carbon Nanotube Waviness on the Elastic Properties of the Fuzzy Fiber Reinforced Composites

[+] Author and Article Information
M. C. Ray

e-mail: mcray@mech.iitkgp.ernet.in
Department of Mechanical Engineering,
Indian Institute of Technology,
Kharagpur, 721302, India

Manuscript received February 12, 2012; final manuscript received August 15, 2012; accepted manuscript posted September 29, 2012; published online January 22, 2013. Assoc. Editor: Anthony Waas.

J. Appl. Mech 80(2), 021010 (Jan 22, 2013) (13 pages) Paper No: JAM-12-1066; doi: 10.1115/1.4007722 History: Received February 12, 2012; Revised August 15, 2012; Accepted September 29, 2012

A fuzzy fiber reinforced composite (FFRC) reinforced with wavy zig-zag single-walled carbon nanotubes (CNTs) and carbon fibers is analyzed in this study. The distinct constructional feature of this composite is that the wavy CNTs are radially grown on the surface of carbon fibers. To study the effect of the waviness of CNTs on the elastic properties of the FFRC, analytical models based on the mechanics of materials (MOM) approach is derived. Effective elastic properties of the FFRC incorporating the wavy CNTs estimated by the MOM approach have been compared with those predicted by the Mori–Tanaka (MT) method. The values of the effective elastic properties of this composite are estimated in the presence of an interphase between the CNT and the polymer matrix which models the nonbonded van dar Waals interaction between the CNT and the polymer matrix. The effect of waviness of CNTs on the effective properties of the FFRC is investigated when the wavy CNTs are coplanar with two mutually orthogonal planes. The results demonstrate that the axial effective elastic properties of the FFRC containing wavy CNTs can be improved over those of the FFRC with straight CNTs.

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Figures

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Fig. 1

Schematic diagram of a lamina made of the FFRC

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Fig. 2

Transverse and longitudinal cross sections of the CFF in which wavy CNTs are either coplanar with 2–3 (2′–3′) or 1–3 (1′–3′) plane; (a) CNTs waviness are coplanar with the 2–3 plane, (b) CNTs waviness are coplanar with the 1–3 plane

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Fig. 3

Modeling of the FFRC and its phases

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Fig. 4

(a) RVE of the unwound PMNC material incorporating wavy CNT in the 2–3 plane. (b) RVE of the unwound PMNC material incorporating wavy CNT in the 1–3 plane.

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Fig. 5

Transverse cross sections of the CFF with unwound and wound PMNC

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Fig. 6

Cross sections of the RVE of the unwound PMNC material

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Fig. 7

(a) Cross sections of the RVE of the CFF. (b) Cross sections of the RVE of the FFRC.

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Fig. 8

Hexagonal packing array comprised of CFFs

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Fig. 9

Variation of the effective elastic coefficient C11 of the FFRC with the waviness factor (ω=8π/Ln)

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Fig. 10

Variation of the effective elastic coefficient C12 of the FFRC with the waviness factor (ω=8π/Ln)

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Fig. 11

Variation of the effective elastic coefficient C13 of the FFRC with the waviness factor (ω=8π/Ln)

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Fig. 12

Variation of the effective elastic coefficient C22 of the FFRC with the waviness factor (ω=8π/Ln)

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Fig. 13

Variation of the effective elastic coefficient C23 of the FFRC with the waviness factor (ω=8π/Ln)

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Fig. 14

Variation of the effective elastic coefficient C11 of the FFRC with the waviness factor for different wave frequencies

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Fig. 15

Variation of the effective elastic coefficient C22 of the FFRC with the waviness factor for different wave frequencies

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Fig. 16

Variation of the effective elastic coefficient C23 of the FFRC with the waviness factor for different wave frequencies

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Fig. 17

Variation of the effective elastic coefficient C55 of the FFRC with the waviness factor for different wave frequencies

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