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Information × Registration Number 0220U101415, 0119U100642 , R & D reports Title Optimization and study of non-homogeneous structures behavior under appearance of micro-defects, damages, cracks and holes. popup.stage_title Head Kogut Peter I., Доктор фізико-математичних наук Registration Date 10-02-2020 Organization Oles Honchar Dnipro National University popup.description2 The object of investigation is the deformation processes of complex mechanical systems with taking of damage in the form of microdefects, its evolution, further appearance of cracks, holesa, and an investigation of these processes by means of reliable models development for microdefect evolution, laying the foundation and grounding of new conception of "sustainable" controls of mechanical system with damages. The objective of the scientific work is the development of new concept of "sustainable" controls of systems with distributed parameters that appear in problems of mechanics of non-homogenous structures, where it is possible cracks beginnings and destruction, and also the study of influence of such damages on the mechanical system deformation processes The relaxation statements of such class of problems for non-homogenous structures were proposed and the sufficient conditions to solve the problems of optimal control of degenerate hyperbolic and parabolic systems from the "sustainable" control classes for the models of quasi-statical destruction field evolution were obtained.The new methodologies for calculation of loaded non-homogenous elements of constructions with taking into account damages in the form of solid inclusions and holes of different sizes and shapes were developed. The methods of mathematical and computer modeling of studied processes and an analysis of numerical calculation results were used. The novelty: now only several papers were devoted to the problems of distributed and boundary control of elastic mechanical systems and to the modeling of arise and evolution of microdefects. All these leads to new problem statements that add a significant superiority of developed approach in comparison with the investigation results of other leading native and foreign scientific centers.The results were applied in the educational process.The field of aplications is the investigations and experimental working out in sphere of natural and technical sciences. Product Description popup.authors Belozyorov Vasily Ye. Borsch Volodymyr L. Hart Eteri L. Dzyuba Anatoly P. Dzyuba Aleksandr A. Pazyuk Anatoly H. Pogribnoy Oleg V. Stepanenko Valery F. Shevelova Alla Ye. popup.nrat_date 2020-04-02 Close