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Information × Registration Number 0224U002611, 0119U100672 , R & D reports Title Models and methods for calculating and optimizing the stress state and investigation the boundary equilibrium in non-homogeneous bodies with imperfections popup.stage_title Head Tokovyy Yuriy V., Доктор фізико-математичних наукYasinskyi Anatolii V., Доктор фізико-математичних наук Registration Date 21-02-2024 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 research work is: the development of efficient methods for evaluating the strength of shell structures with account for the elastic-plastic deformation of the material interacting with the elastic environment; modeling of the dynamic behavior of orthotropic plates with inclusions of an arbitrary geometric configuration; study of elastic and limit equilibrium of structural elements with filled crack-like defects and contact cracks; development of analytical methods for the research and calculation of the thermoelastic state of solids with multilayer thin coatings under thermocyclic treatment; establishing the conditions for ensuring the optimal distributions of stresses and displacements in nonhomogeneous solids and determining the ways of practical achievement of the given thermo-stressed state. The research methods are the following: boundary elements, collocations, quadratures, singular integral equations, generalized boundary conditions, linear and nonlinear integral equations, direct integration. The obtained results: a mechanical-mathematical model of an elastic shell element with a nonhomogeneous filler and a method of rational design of a profile with an open shell were developed; a model of crack healing with a non-contrast material was developed; the ultimate equilibrium of a cylindrical shell with a longitudinal crack under time-varying loading was investigated; with the use of generalized boundary conditions, thermo-mechanical processes in a body with coatings during thermocycling were analyzed; the method of direct integration for axisymmetric and three-dimensional problems of the theory of thermoelasticity for bodies bounded by plane and cylindrical surfaces is generalized; a methodology for constructing solutions of three-dimensional and axisymmetric problems of thermoelasticity for a non-homogeneous layer has been developed; a method of determining temperature fields for achieving specified stresses in non-homogeneous bodies has Product Description popup.authors Bazylevych Liubov V. Bedzir Oleksandr O. Dalyak Taras M. Kalynyak Bohdan M. Kurotchyn Lesia R. Kurtash Iryna S. Makoviichuk Mykola V. Makhorkin Mykola I. Nykolyshyn Myron M. Perepichka Vasul' V. Pytliar Hryhorii H. Tokova Liudmyla P. Tuzheliak Olha I. Shatskyi Ivan P. Shevchuk Viktor A. Shopa Vasyl M. Shopa Tetiana V. Shcherbii Andrii B. Yuzviak Mykola Yo. popup.nrat_date 2024-02-21 Close