Predicting Percolation Threshold Value of EMI SE for Conducting Polymer Composite Systems Through Different Sigmoidal Models

Like electrical conductivity, the electromagnetic interference shielding effectiveness (EMI SE) of carbon-containing polymeric composites also goes through a transition phase known as the percolation threshold (PT). In this study, the applicability of various sigmoidal models such as sigmoidal-Boltzmann (SB), sigmoidal-dose response (SD), sigmoidal-Hill (SH), sigmoidal-logistic (SL), and sigmoidal-logistic-1 (SL-1) to determine the PT of EMI SE has been tested for composites of ethylene vinyl acetate (EVA) copolymer and acrylonitrile butadiene rubber (NBR) matrix reinforced with various particulate and fibrous carbon fillers. It is observed that the SB and SD models predicted similar PT. On the other hand, other models reported different values when validated for any particular composite system. The difference in results of PT has been discussed in detail from a viewpoint of the benefits and vice versa of these models. Also, the classical percolation theory has been applied to determine the PT of EMI SE for comparison with the values obtained through the sigmoidal models. In order to judge the universal acceptability of these models, the EMI SE results have been tested for various polymeric composites taken from some published literature. The results indicate that all the models except the SL-1 model can be successfully applied for predicting the PT of EMI SE for polymer composites. [GRAPHICS] .

Automated summary

This study tested the applicability of different sigmoidal models in determining the percolation threshold of electromagnetic interference shielding effectiveness (EMI SE) in carbon-containing polymeric composites. Similar thresholds were observed for certain models, while others reported different values. By comparing the results of sigmoidal models with classical percolation theory, it was found that all models except one could successfully predict the percolation threshold of EMI SE in polymeric composites.