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Information × Registration Number 0221U600006, (0118U000460) , R & D reports Title Analysis of the resonance scattering and development the methods to solution of the inverse problems for diagnostics of materials popup.stage_title Розробка аналітико-числових методів розв’язання нових класів задач розсіювання та обернених граничних задач для діагностування матеріалів: 1.1. Обґрунтування нових моделей взаємодії фізичних полів з середовищами, у яких містяться дефекти(2018) 1.2. Моделювання полів (електромагнітних, акустичних, пружних), розсіяних матеріалами з дефектами(2019) 1.3.Проведення чисельних та фізичних експериментів, направлених на розширення функціональних можливостей діагностичної апаратури(2020) Head Nazarchuk Zinoviy T., Доктор фізико-математичних наук Registration Date 03-01-2021 Organization Physico-Mechanical Institute named after GV Karpenko of the National Academy of Sciences of Ukraine popup.description1 popup.description2 Object of study – physical processes of electromagnetic, acoustic and elastic fields interaction with scatterers, which are placed in homogeneous and inhomogeneous environments. The purpose of work – establishing of the signs for defects detecting in materials, and determining of their parameters by solving diffraction, spectral and inverse boundary value problems. Research methods – analytical and analytical-numerical methods of the solution of problems of different wave types diffraction on scatterers with pointed vertex and edges; methods of solving the inverse boundary value problem. To identify the defects of objects of control by electric field on surface, used strategy of solving inverse boundary problems, which consists in obtaining the equivalent Schrödinger equation. Its solutions used to restore distribution of parameters of study object. The implementation of proposed approach allows transfer of functional load from hardware to software component of diagnostic tools. Modifying the Wiener-Hopf method, a solution of new canonical problem for truncated cone with an aperture closed by spherical segment is obtained. It used to modeling of cavern-like defect fields, placed on flat surface. Method of double analytical regularization for the solution of diffraction problems on finite biconical surfaces is proposed. Analytical regularization method developed for the solution of acoustic wave diffraction problems on hard and soft circular conical surfaces of finite dimensions, and their complex. It used to obtain the spatial distributions of diffracted fields in the near and radiation zone and to establish diagnostic features of scattering objects. To identify the defects in composite materials, the Wiener-Hopf method is used for the solution of the problem of elastic SH wave field diffraction on the defect in a homogeneous layer. The dependences of the displacement field distribution on the layer surface are investigated Product Description popup.authors Ivanska Nadiia I. Voytko Myron V. Dzhala Vasyl` R. Kulynych Yaroslav P. Kuryliak Dozyslav B. Lysechko Viktor O. Nazarchuk Zinoviy T. Trishchuk Oksana B. Sharabura Oleksii M. popup.nrat_date 2025-01-30 Close