FRACTAL DESCRIPTION OF INTERPHASE INTERACTIONS IN DISPERSIVE FILLED METAL-POLYMER COMPOSITES

O.A.Dyshin, İ.A.Qabibov, A.J.Suleymanova

Azerbaijan State University of Oil and İndustry

Annotation. Based on the fractal description of interfacial interactions in dispersed-filled metal-polymer composites, it was shown that in the considered composite “styrene-butadiene rubber-copper”, in contrast to the “polymer-polymer” systems, the strength of the interfacial layer decreases with increasing thickness and even favorable circumstances do not always reach the strength of the polymer matrix, due to the fractal nature of the surface of the filler and the low level of contact between it and the polymer matrix.

The estimates of the threshold values ​​of the volume fractions of the nanoclusters of the polymer matrix and nanofiller are obtained. The transition of these quantities through the thresholds found leads to a weakening of the transfer of mechanical stress from the polymer matrix to the filler. To study this transfer effect, a generalization of the micromechanical model of the transfer of mechanical stress from the polymer matrix to the filler is given in the case when the strength of the interfacial layer is less than the strength of the polymer matrix.

Keywords: fractal dimension, interfacial layer, nanoclusters, loose-packed matrix, dispersion-filled composite, aggregative stability.