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Information × Registration Number 0226U000552, (0125U001338) , R & D reports Title Development of mathematical models and analytical and numerical methods for the study of materials with specific piezoelectric and electromagnetic parameters popup.stage_title Створення математичних моделей та розвиток аналітично-числових методів розв'язання задач хвильового навантаження матричних і волокнистих пружних композитів із періодичним розподілом тонких п’єзоелектричних наповнювачів та розсіювання електромагнітних хвиль на сукупності хаотично розміщених включень малого розміру Head Andriichuk Roman M., Кандидат фізико-математичних наук Registration Date 12-01-2026 Organization Institute of Applied Problems of Mechanics and Mathematics named after Ya. S. Pidstryhach of the National Academy of Sciences of Ukraine popup.description1 Development of mathematical models, effective analytical and numerical methods for the analysis of wave processes in elastic composites with periodic distribution of thin piezoelectric elements, research of materials with specific piezoelectric and electromagnetic parameters and optimization of their characteristics from the point of view of forming the necessary properties in the acoustic and microwave range. popup.description2 At the first stage, the following results were obtained: 1. The mathematical model of the dynamic interaction of a thin-walled disk piezoelectric inclusion with a piezoelectric matrix has been constructed. 2. Mathematical models of the dynamic interaction of elastic heterogeneous media through an interfacial system of periodically arranged thin non-contrast piezoelectric inclusions with longitudinal shear of the composite have been constructed. 3. Methods for calculating the parameters of wave blocking and scattering by a system of thin piezoelectric inclusions periodically arranged at the interface of elastic bodies have been developed. 4. Mathematical models of acoustic and electromagnetic scattering by a set of microinclusions, on the surface of which impedance boundary conditions are given, have been generalized for the case of irregular and chaotic arrangement of inclusions. 5. An algorithm for solving problems of acoustic and electromagnetic scattering on a set of irregular and chaotic arrangement of inclusions has been developed. 6. Based on the developed algorithms, software tools were created for calculating the refractive index of inhomogeneous materials with a set of inclusions for the case of acoustic scattering and the refractive index and magnetic permeability for the case of electromagnetic scattering. Product Description popup.authors Maksymiv Julia Ivanivna Kuzo Taras V. Borys Y. Yevstyhneiev popup.nrat_date 2026-01-12 Close