Кафедра штучного інтелекту та математичного моделювання
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Item type:Наукова стаття, Thermoforce Deformation of Nonthin Anisotropic Cylindrical Shells Protected by a Functionally Graded Material(Springer Science and Business Media LLC, 2026-05) Trach, Volodymyr; Podvornyi, Andrew; Bondarskyi, OleksandrBy using the modified Hu–Washizu variational principle, we obtain an inhomogeneous three-dimensional system of equilibrium differential equations. The application of this system makes it possible to study the stress-strain state of a composite cylindrical anisotropic shell for the force and temperatures impacts specified on its end faces. The anisotropy of the material of the shell is characterized by a single plane of elastic symmetry in each layer. By the Bubnov–Galerkin method, the original threedimensional system of equilibrium equations is reduced to a one-dimensional system of first-order ordinary differential equations with respect to the radial coordinate. The obtained boundary-value problem is solved by the numerical method of discrete orthogonalization. We present the results of numerical analysis of the stress-strain state of an anisotropic cylindrical composite boron–plastic shell protected against the action of high-intensity temperature fields by a layer of a nanoceramic functionally graded material.Item type:Наукова стаття, Powder Modifier Effect on the Mechanical Behavior of Polyurethane Foams(2026) Mikulich, Olena; Furs, Tetiana; Shemet, Vasylyna; Bondarskii, OlexandrThe paper investigated the influence of a powder modifier in the form of finely dispersed perlite on the mechanical behavior of rigid polyurethane foams under static monotonic and multi-cycle loading, which causes the material’s plastic deformation. The studies were conducted for polyurethane foam samples with different weight contents of perlite powder, ranging from 0 to 10 mass parts. Infrared spectroscopy established heterogeneous inclusion of the perlite additive as a mineral filler into the polymer matrix without changing the main structural bonds of modified polyurethane foam (MPU). The change in the values of Young’s modulus, yield strength and relative plastic deformation depending on the quantitative content of the powder modifier was investigated. It was established that the addition of a powder modifier, perlite, contributes to an increase in the stiffness of MPU foam. The change in Young’s modulus under multi-cycle loading within each series of experimental samples was evaluated. The results confirm the effectiveness of perlite powder for modifying polyurethane foam not only for solar radiation protection, but also to increase the stability of the mechanical characteristics of rigid polyurethane foams.