A critical review of theoretical models aiming to explain the physical properties of composites based on polymeric matrices reinforced with carbon nanotubes is presented. Attention is paid to descriptions based on molecular dynamics, continuum mechanics, and finite element analysis. It is shown that both the continuum mechanics approximation and the finite size element analyses fail to describe composites with very thin interfaces, while the performances of molecular dynamics simulations are still restricted by computer's performances. The limitations of the continuum mechanics approximation are analyzed in detail.
Hui, David, et al. “Mechanical Properties of Carbon Nanotubes Composites.” Journal of Computational and Theoretical Nanoscience, vol. 1, no. 2, Sept. 2004, pp. 204–15, doi:10.1166/jctn.2004.018.
Journal of Computational and Theoretical Nanoscience