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Information × Registration Number 0222U002034, 0120U100499 , R & D reports Title Development of mathematical models and methods for analysis and optimization of mechanical performance of functionally-graded solids under the action of complex loadings popup.stage_title Head Kushnir Roman M., Доктор фізико-математичних наукTokovyy Yuriy V., Доктор фізико-математичних наук Registration Date 09-02-2022 Organization Institute of Applied Problems of Mechanics and Mathematics named after Ya. S. Pidstryhach of the National Academy of Sciences of Ukraine popup.description2 The objective of this scientific project is to develop mathematical models and efficient methods for the analysis of the effect of material inhomogeneity in the thermal ad stress-strain state of functionally-graded solids for by-the-target optimization and analysis of the dynamic stress concentrations in elastic multilayer structures with piezoelectric thin-walled inclusions. Within the framework of the project, the following results have been obtainedMathematical models and numerical methods for studying wave formation processes in piecewise-homogeneous piezoceramic bodies with thin inclusions of low contrast at steady loads have been developed and the influence of harmonic wave load on piecewise-homogeneous elastic bodies with pliable disk inclusions has been studied. The differences between the effective modulus of elasticity of composites reinforced with ordered and randomly oriented short cylindrical fibers with sliding and non-sliding on the interfaces are investigated. Using a combination of finite element method and the weighted residuals method, a methodology for optimal control of thermal regimes within the heating-cooling processes of functionally graded solids based on the principle of step-by-step parametric optimization has been developed. A method for identifying the thermal stress state of functionally graded spherical bodies by temperature and deformations on one of the surfaces has been developed. A method of direct integration is developed for the construction of analytical solutions of three-dimensional problems of the theory of elasticity and thermoelasticity for composite transversely isotropic solids. The method for the analysis of morphology of growth formation in nanopowder materials and structures of the "core-shell" type is developed. The regularities of the processes of formation and relaxation of mechanical stresses and strains in nanostructures based on zinc oxide are established. The results can be used for: computation of the therm  Product Description popup.authors Kunets Yaroslav I Mykhaskiv Viktor V Popovych Dmytro Ivanovych Yasinskyi Anatolii V. popup.nrat_date 2022-03-09 Close