- In the present work, a micromechanics approach based on the composite cylinders model is applied as an alternate approach for assessing the impact of an interfacial thermal resistance on the effective thermal conductivity of nanocomposites. Anisotropy is introduced into the carbon nanotubes by reducing the axial conductivity of the carbon nanotube in order to account for end effects associated with the interface thermal resistance layer. A composite bar is constructed as series solution for the effective axial conductivity of the nanotube. In addition, the composite cylinders assemblage is used to directly determine concentration tensors for use in incorporating the effects of random orientation. It is found that in addition to the inclusion of the interface thermal resistance, it may be necessary to include the effects of a graded matrix interphase layer in using such models to explain the measured data.