Fractal analysis of the structural and mechanical characteristics of the interfacial region in epoxy polymer nanocomposites
O.A. Dyshin, I. A. Gabibov, J. N. Aslanov, A.J. Suleymanova
Azerbaijan State University of Oil and Industry, Baku, Az1010, Azerbaijan
Keywords: металлополимер, межфазная область, наполнитель, нанокластер, рыхлоупакованная матрица, фрактальная размерность, микромеханическая модель, metal polymer, interfacial region, filler, nanocluster, loose-packed matrix, fractal dimension, micromechanical model
Abstract
On the basis of a micromechanical model of the tensile strength of a polymer composite, it is shown that, in contrast to the case of adhesion between two polymers, when a linear dependence of the thickness of the interfacial region on the degree of interfacial adhesion is observed, the strength of the material of the interfacial region in nanocomposites of the polymer - high modulus filler type decreases as its thickness increases. ... Using a fractal model of interphase interactions, estimates of the threshold values of the volume fractions of nanoclusters of the epoxy polymer matrix and metal nanoparticles of the filler are obtained, upon passing through which the process of transfer of mechanical stress from the polymer matrix to the filler is weakened. It is shown that exceeding the threshold value of the volume fraction of the filler leads to a violation of the aggregate stability of the filler and a decrease in the values of the dimensionless parameter of the micromechanical model, which characterizes the degree of interfacial adhesion. With a further increase in the volume fraction of the filler, the values of this parameter become negative, while the strength of the composite practically does not increase.
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