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Information × Registration Number 0226U000030, (0125U002890) , R & D reports Title Stress concentration and intensity factors in composite materials with inclusions of cracks and holes popup.stage_title Дослідження напружено-деформованого стану пружного анізотропного тіла із анізотропними включеннями та отворами. Знаходження системи двох сингулярних рівнянь першого і другого роду для визначення невідомої функції. Отримання числових значень коефіцієнтів концентрації напружень вздовж гладкого контуру включення. Head Chornenkyi Andrii B., Кандидат фізико-математичних наук Registration Date 01-01-2026 Organization Physico-Mechanical Institute named after GV Karpenko of the National Academy of Sciences of Ukraine popup.description1 Solving plane problems of the theory of elasticity and fracture mechanics for infinite and bounded anisotropic piecewise-homogeneous bodies with cracks, holes, sharp and rounded corner cuts by the method of singular integral equations. popup.description2 A study of a plane problem of the theory of elasticity for an infinite anisotropic body with anisotropic inclusions was conducted. The problem was formulated and solved using an analytical-numerical approach. The method of singular integral equations allowed obtaining an exact solution in the form of a stress distribution at the boundaries of inclusions. The state of elastic stresses and deformations in an anisotropic body containing inclusions and holes with anisotropic properties was analyzed. Complex potential boundaries were determined at the matrix-inclusion interface, which are the basis for further analysis. Based on the conditions of continuity of stresses and permissible displacement jumps, a system of two singular integral equations of the first and second kind was derived, formulated on curvilinear contours in the auxiliary planes of the complex variable. This system takes into account the mechanical parameters of the material's orthotropy and allows for accurate modeling of the behavior of the medium. Product Description popup.authors Andrii B. Chornenkyi Maksym V. Filipov popup.nrat_date 2026-01-01 Close