Mixing high aspect ratio multiwalled carbon nanotubes (CNTs) into a polymer matrix often leads to the formation of a non-equilibrium CNT network structure within the nanocomposite (NC) that can greatly change the rheological properties of the host polymer material Owing to the nonequilibrium highly "entangled" CNT network structure, the measurement of normal stress differences in steady shear flow exhibited a distinct characteristics from the theoretical model (Kharchenko et al., Nature Mater., 2004;Xu et al.