The addition of carbon nanotubes (CNT) to a polymeric matrix is known to
affect its mechanical and electrical properties. The changes can be
significant even at small volume fractions of the reinforcement. The CNT
concentration, aspect ratio, and dispersion are expected to affect the
material electric response. However, the precise mechanisms responsible
for the described effects are not sufficiently understood. It is
presented a numerical model to solve the problem of the electric
response in polymeric composites. The developed model, based in the
Graph Theory framework, enables the macroscopic electric properties
characterization, such as the dielectric constant and dielectric
strength. Finally, the theoretical details and a comparison with
experimental results are discussed. |