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Research Papers

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

[+] Author and Article Information
Chetan Shivaputra Jarali

Department of Mechanical Engineering,
Sanjay Ghodawat Group of Institutions Engineering,
Gat No. 583–585,
Atigre, Kolhapur 416118, India
e-mail: chetan.jarali@gmail.com

Somaraddi R. Basavaraddi

Ph.D. Research Centre,
Visvesvaraya Technological University,
Belgaum 590008, India
Department of Mechanical Engineering,
K.L.E College of Engineering and Technology,
Udyambagh, Belgaum 590018, India

Björn Kiefer

Department of Mechanical Engineering,
Institute of Mechanics,
TU Dortmund,
Leonhard-Euler-Street 5,
Dortmund 44227, Germany

Sharanabasava C. Pilli

Department of Mechanical Engineering,
K.L.E College of Engineering and Technology,
Udyambagh, Belgaum 590018, India

Y. Charles Lu

Department of Mechanical Engineering,
University of Kentucky,
Lexington, KY 40506

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received February 8, 2013; final manuscript received April 17, 2013; accepted manuscript posted May 7, 2013; published online September 16, 2013. Assoc. Editor: Daining Fang.

J. Appl. Mech 81(2), 021010 (Sep 16, 2013) (11 pages) Paper No: JAM-13-1066; doi: 10.1115/1.4024414 History: Received February 08, 2013; Revised April 17, 2013; Accepted May 07, 2013

In 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 of CNTs is common due to the size of nanotubes, which is at nanoscales. Furthermore, 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. In 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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Figures

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Fig. 1

(a) Schematic illustration of the concept of straightening CNTs before embedding them in a polymer matrix in a layer-by-layer fashion [23,24]. (b) A composite sheet stretched by 12%, showing straight, well-aligned and closely-packed (agglomerated) nanotubes [24].

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Fig. 2

(a) Unit representative volume element for only highly concentrated agglomeration regions of straight CNTs in the epoxy matrix [23-25]. (b) Unit representative volume element for only for only dilute dispersion regions of straight CNTs in the epoxy matrix [23-25].

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Fig. 8

Effective bulk (K¯) and shear moduli (G¯) of the randomly distributed CNT nanocomposite for high CNT agglomeration with variations in ζhΩ and ξcΩ

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Fig. 3

Plane strain effective bulk modulus (k¯) of the aligned CNT nanocomposite for high CNT agglomeration with variations in ξcΩ and ζhΩ

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Fig. 4

Plane strain effective transverse modulus (l¯) of the aligned CNT nanocomposite with for high CNT agglomeration variations in ξcΩ and ζhΩ

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Fig. 5

Plane strain effective longitudinal modulus (n¯) of the aligned CNT nanocomposite for high CNT agglomeration with variations in ξcΩ and ζhΩ

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Fig. 6

Inplane effective shear modulus (m¯) of the aligned CNT nanocomposite for high CNT agglomeration with variations in ξcΩ and ζhΩ

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Fig. 7

Out-of-plane effective shear modulus (p¯) of the aligned CNT nanocomposite with variations in ξcΩ and ζhΩ

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Fig. 9

Effective longitudinal modulus (E¯) of the randomly distributed CNT nanocompo site for high CNT agglomeration with variations in ζhΩ and ξcΩ

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Fig. 10

Effective Poisson's ratio (v¯) of the randomly distributed CNT nanocomposite for high CNT agglomeration with variations in ζhΩ and ξcΩ

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Fig. 11

Effective bulk modulus (k¯) and transverse modulus (l¯) of the aligned transversely isotropic CNT nanocomposite for dilute CNT agglomeration with complete variation in ζhΩ with ξcΩ = 0.5

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Fig. 12

Effective bulk (K¯) and shear moduli (G¯) of the randomly distributed CNT nanocomposite for dilute CNT agglomeration with variation in ζhΩ with ξcΩ = 0.5

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Fig. 13

Effective longitudinal modulus (E¯) of the randomly distributed CNT nanocomposite for dilute CNT agglomeration with variation in ζhΩ with ξcΩ = 0.5

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Fig. 14

Effective Poisson's ratio (v¯) of the randomly distributed CNT nanocomposite for dilute CNT agglomeration with variation in ζhΩ with ξcΩ = 0.5

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