**Artyom Plyushch 1,2,\*, Dmitry Lyakhov 3, Mantas Šimenas ˙ 1, Dzmitry Bychanok 2, Jan Macutkeviˇc 1, Dominik Michels 3, Juras Banys ¯ 1, Patrizia Lamberti <sup>4</sup> and Polina Kuzhir 2,5**


Received: 14 January 2020; Accepted: 12 February 2020; Published: 15 February 2020

**Abstract:** The conductivity and percolation concentration of the composite material filled with randomly distributed carbon nanotubes were simulated as a function of the mechanical deformation. Nanotubes were modelled as the hard-core ellipsoids of revolution with high aspect ratio. The evident anisotropy was observed in the percolation threshold and conductivity. The minimal mean values of the percolation of 4.6 vol. % and maximal conductivity of 0.74 S/m were found for the isotropic composite. Being slightly aligned, the composite demonstrates lower percolation concentration and conductivity along the orientation of the nanotubes compared to the perpendicular arrangement.

**Keywords:** Monte Carlo simulations; percolation; conductivity; carbon nanotubes composite
