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Generally Cylindrical Orthotropic Constitutive Properties Modeling of Matrix-filled Single-walled Nanotubes: Axial Mechanical Properties

Department of Mechanical Engineering, Dalhousie University Halifax, Nova Scotia, B3J 2X4, Canada

Davood Askari

Vinod P. Veedu

Hawaii Nanotechnology Laboratory, Department of Mechanical Engineering University of Hawaii at Manoa, Honolulu, HI 96822, USA

Mehrdad N. Ghasemi-Nejhad

Hawaii Nanotechnology Laboratory, Department of Mechanical Engineering University of Hawaii at Manoa, Honolulu, HI 96822, USA; nejhad{at}wiliki.eng.hawaii.edu

The technology of filling hollow carbon nanotubes with desirable materials has created tremendous interest in recent years. The objective of this study is to introduce analytical solutions for effective longitudinal Young's modulus and major Poisson's ratio of matrix-filled single-walled nanotubes (SWNTs). In this work, both SWNT and its filler material are considered generally cylindrical orthotropic. Analytical solutions are obtained and accordingly reduced to transversely isotropic as well as isotropic cases for both tube and filler materials, and then the results are compared with the existing solutions. For further validation, a 3-D model of a matrix-filled single-walled carbon nanotube (SWCNT) is generated and solved for displacement and strain results numerically, using the finite element method. The finite element numerical analysis is employed to verify the accuracy of the results obtained from the analytical approach for generally cylindrical orthotropic materials. Excellent agreement is achieved between the results obtained from the analytical and numerical methods. Furthermore, a parametric study is also conducted to investigate the effective properties variations of the matrix-filled nanotubes based on the variations of nanotube/filler geometry and material properties.

Key Words: matrix-filled single-walled nanotubes • orthotropic properties • composite cylinder model • effective axial modulus • major Poisson's ratio

This version was published on March 1, 2007

Journal of Composite Materials, Vol. 41, No. 6, 757-779 (2007)
DOI: 10.1177/0021998306067018


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