Microstructure Based Modeling of Electrical Conductivity for CB/UHMWPE Nanocomposites
摘要
In this paper, we use numerical modeling to predict the effective electrical conductivity of Carbon-Black/Ultra-High-Molecular-Weight-Polyethylene (CB/UHMWPE) nanocomposites. The models are based on the microstructure observed in X-ray microcomputed tomography (μCT) scans. For the examined range of carbon black weight fraction, the scans demonstrate conductive CB particles to be agglomerated around the UHMWPE granules, creating CB-containing layers surrounding the granules and forming electrically conductive network. First, the generalized effective medium (GEM) method is considered as an analytical tool to predict the overall conductivity based on the volume fraction of conductive inclusions. The applicability of this method for the observed microstructure with conductive layers is discussed. Then, an alternative two-stage approach based on a combination of numerical and analytical modeling is proposed. Finite element models of representative volume elements (RVEs), incorporating the CB-containing layers, are developed. It is shown that the GEM parameters of the CB-layers can be determined by the comparison of the numerical modeling results with the experimental measurements of the overall composite conductivity.