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Information × Registration Number 0219U100950, 0119U101244 , R & D reports Title Models and Optimization of Thermomechanical Behavior of Structure Inhomogeneous Bodies at Constant and Variable Loading popup.stage_title Head Nykolychyn Myron M., Доктор фізико-математичних наук Registration Date 05-04-2019 Organization Instytut pryklаdnykh problem mekhаniky i mаtemаtyky im. Ya.S. Pidstryhаchа NAN Ukrаiny popup.description2 The analytical solutions of three-dimensional problems of the theory of elasticity and thermoelasticity for a transversally isotropic layer, taking into account the arbitrary change of anisotropic modules by thickness, were constructed. On the basis of the mathematical model of thermal processes in bodies with thin-layer coating, the thermoelasticity problem for a half-space with a multilayered coating at radiative-convective heat exchange with the environment was formulated and solved. The method of determination of the stress state of the boundary equilibrium of thin-walled elastic-plastic elements of structures, weakened by through internal and surface sharpener stress concentrators, was proposed. The solutions of one-dimensional and two-dimensional inverse thermoelasticity problems are constructed, which reduces the problems of optimizing the distribution of displacements or stresses in non-homogeneous bodies by choosing the thermal loading or mechanical characteristics of the material. Mixed problems of contact interaction of cylindrical shells and elastic filler taking into account non-uniform dry friction were formulated and solved. A calculation scheme for a curvilinear crack in a plate with a flexible coating is proposed raking into account the interaction of the symmetric and antisymmetric deformation modes. The problem of stable oscillations of an orthotropic plate with holes of arbitrary geometric shape, orientation and location was solved. The results of the research can be used in engineering practice to assess the strength and reliability of inhomogeneous elements of structures that are working under the action of a stable or variable in time forces or thermal loading.   Product Description popup.authors Tokovyy Yuriy V. Shatskii Ivan P. popup.nrat_date 2020-04-02 Close