Effect of a nanofiller structure on the degree of reinforcement of polymer – carbon nanotubes nanocomposites with the use of a percolation model

Fractal analysis methods are used to construct a model describing the effect of a nanofiller structure (carbon nanotubes) on the structure of a nanocomposite as a whole and its mechanical properties. It is shown that an increase in the fractal dimension of carbon nanotubes, which are ring-like formations in a polymer matrix, or their compaction can increase the elasticity modulus of the nanocomposites. It is determined that a significant effect on the mentioned properties of nanocomposites is produced by the spatial structure of carbon nanotubes.