Self-consistent properties of carbon nanotubes and hexagonal arrays as composite reinforcements

A self-consistent set of relationships is developed for the physical properties of single walled carbon nanotubes (SWCN) and their hexagonal arrays as a function of the chiral vector integer pair, (n,m). Properties include effective radius, density, principal Youngʹs modulus, and specific Youngʹs modulus. Relationships between weight fraction and volume fraction of SWCN and their arrays are developed for the full range of polymeric mixtures. Examples are presented for various values of polymer density and for multiple SWCN diameters.