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Information × Registration Number 0225U002965, (0119U100675) , R & D reports Title Mathematical models, variational and iteration methods for solving of direct and inverse problems of theory of coupled field in solid bodies popup.stage_title Математичні моделі, варіаційні та ітераційні методи розв’язування прямих і обернених задач теорії взаємодії полів у твердих тілах Head Kravchyshyn Oksana Z., Кандидат фізико-математичних наук Registration Date 27-04-2025 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 for interaction of small elastic perturbations, polarized light, heat and infrared rays with stress field in solids; formulationnew direct and inverse problems within these models, development analytical and numerical methods for their solution, quantitative research of the formulated problems with the use the developed methods popup.description2 A mathematical model of acoustoelasticity for bodies with residual stresses has been constructed and new topical problems of the dynamic theory of elasticity have been formulated. A nonlinear mathematical model of high-temperature thermoelasticity of solids of low thermal conductivity under large temperature gradients has been developed, which will allow developing the theory of conductive-radiative heat transfer in such bodies taking into account the absorption, emission and scattering of IR radiation both in the volume and at the interfaces of materials. A variational method of homogeneous solutions for direct axisymmetric problems of the theory of elasticity for cylindrical bodies with residual stresses and problems of determining the perturbation of the stress-strain state in the vicinity of the interface surfaces of heterogeneous materials and zones of fixation and local loading in thin plates and closed cylindrical shells has been developed, methods for regularization of singularly perturbed direct problems of conductive-radiative heat transfer have been developed. Methods for solving the equations of elastic equilibrium of the theory of elasticity of an orthotropic body and for constructing general solutions of the equations of the theory of elasticity depending on the specific value of nine independent elastic orthotropic constants have been developed, which allows predicting the mechanical behavior, strength and reliability of orthotropic materials. Product Description popup.authors Boichuk Yurii V. Diakiv Vasyl V. Postolaki Lesia I. Prytula Zoia V. Revenko Victor P. Senkiv Lesia M. Chekurin Vasyl F. popup.nrat_date 2025-04-27 Close