51-72:519.688 Simulating a fractal composite and studying its electrical characteristics

Korchagin S. A. (Yuri Gagarin State Technical University of Saratov), Terin D. V. (Yuri Gagarin State Technical University of Saratov), Klinaev Y. V. (Yuri Gagarin State Technical University of Saratov)

MATHEMATICAL SIMULATION, COMPUTER SIMULATION, COMPOSITE, FRACTAL STRUCTURE, SOFTWARE COMPLEX, NONLINEAR DYNAMICS


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


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.


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Korchagin S., Terin D., Klinaev Y. Simulating a fractal composite and studying its electrical characteristics. Маthematical Modeling and Coтputational Methods, 2017, №1 (13), pp. 22-31



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