Simulating a fractal composite and studying its electrical characteristics

S. A. Korchagin, D. V. Terin, Yu. V. Klinaev

Saratov State Technical University

Abstract: The study tested a model of a layered hierarchically constructed composite, whose structure has a morphology similar to fractal formation. In our research we developed an algorithm for studying the interaction of an alternating electric field with a fractal composite, as well as a software package that allows simulating fractal characteristics of the composite under study and calculating the electrical parameters of the composite medium. Moreover, we studied the boundaries of the developed model application: the maxand min-dimensions of the composite, at which fractal properties appear. We investigated the frequency dependences of the permittivity of a fractal composite. The results of the research can be used in designing the materials with predefined electrophysical parameters and characteristics, as well as in developing the elements and devices that possess absorbing and selective properties.

Keywords: mathematical simulation, computer simulation, composite, fractal structure, software complex, nonlinear dynamics.

UDC: 51-72:519.688

DOI: 10.18698/2309-3684-2017-1-2231