초록 |
In recent years, research on nanoparticles-polymer composites has been studied actively for enhancing their mechanical, chemical, electrical properties, etc. In this study, we focus on analyzing the electrical conductivity of the nanocomposites containing high-aspect-ratio materials, such as metallic nanowires and carbon nanotubes. We focus on the analysis of the electrical conductivity of two-dimensional networks of conducting rods. For the analysis, we used two kinds of modeling: 1) multi-nodal representation (MNR), and 2) Junction resistance dominant assumption (JDA). Based on Kirchhoff’s laws, the relation between the current and electrical potential is formulated using a block matrix equation. By the treatment, we can derive useful relations such as normalized conductivity, normalized number of edges, backbone fraction, and the effect of the ratio of the internal resistance to the junction resistance. |