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.
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
The approach of solving the problem of selecting the composition of a nanocomposite material with the required characteristics is considered. As an object of research is a nanocomposite material that consists of a homogeneous matrix and inclusions of a spheroidal shape. To solve this problem, a software package is implemented, the selection algorithm is developed based on the genetic algorithm. The efficiency of the developed method and the dependence of the rate of convergence of the method on various parameters are analyzed.
Романчук С.П., Корчагин С.А., Терин Д.В. Моделирование характеристик нанокомпозитного материала со сферическими включениями применяя генетический алгоритм. Математическое моделирование и численные методы, 2018, № 2, с. 21–31