PSI - Issue 81

V.S. Kravets et al. / Procedia Structural Integrity 81 (2026) 102–108

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4. Conclusions Antiplane problems of the theory of elasticity with longitudinal shear of an anisotropic body with a partially healed rectilinear crack-like defects are reduced to the solving a singular integro-differential equation with respect to the jumps of the displacement functions along the crack surfaces. Known models of the Winkler foundation are used with respect to the filler action on certain areas of the crack surfaces. SIFs at the tips of partially filled crack-like defects of various shapes (oblate ellipse, slit-like, rectangular) and the CSLs for the corresponding orthotropic bodies are calculated based on the numerical solution of these equations by the quadrature method. The influence of the increase in the cracks filling level with injection materials of different shear rigidity and the orthotropy level parameter of body material on the SIF reduction (strengthening of the body with a crack) was investigated. The obtained results can be used to make recommendations on the maximum possible restoration of the strength of composite (anisotropic) structural elements with crack-like defects of the Mode III through the selection of injection materials for defect filling and mechanical characteristics of the main bodies made of orthotropic materials. Acknowledgements The research was carried out within the framework of the grant of the National Research Foundation of Ukraine No. 2023.04/0132. References Bozhidarnik, V.V., Andreikiv, O.Ye., Sulym, H.T., 2007. Fracture Mechanics, Strength and Durability of Continuously Reinforced Composites [in Ukrainian], vol. 2. Nadstyriya, Lutsk. Conde Silva, J., Serra, C., 2022. Injection of discontinuities in concrete dams with cement-based grouts. Journal of Structural Integrity and Maintenance 7(4), 252 – 264. Ioakimidis, N.I., Theocaris, P.S., 1977. The problem of the simple smooth crack in an infinite anisotropic elastic medium. International Journal of Solids and Structures 13, 269 – 278. Klym, A., Blikharskyy, Y., Gunka, V., Poliak, O., Selejdak, J., Blikharskyy, Z., 2025. An overview of the main types of damage and the retrofitting of reinforced concrete bridges. Sustainability 17 (6), art. no. 2506. Kravets', V.S., 2016. Stress-strain state of a half plane with internal subsurface cracks. Materials Science 51, 793 – 803. Lekhnitskii, S.G., 1963. Theory of elasticity of an anisotropic elastic body. Mathematical Physics, 1 st ed. Holden-Day, San Francisco. Ma, C. K., Apandi, N. M., Sofrie, C. S. Y., Ng, J. H., Lo, W. H., Awang, A. Z., Omar, W., 2017. Repair and rehabilitation of concrete structures using confinement: A review. Construction and Building Materials 133, 502 – 515. Panasyuk, V.V., Marukha, V.I., Sylovanyuk, V.P., 2014. Injection Technologies for the Repair of Damaged Concrete Structures. Springer, Dordrecht. Panasyuk, V.V., Marukha, V.I., Sylovanyuk, V.P., 2018. Efficient injection materials and the technologies of restoration of the serviceability of damaged building structures intended for long-term operation. Materials Science 54, 154 – 162. Savruk, M.P., Kazberuk, A., 2017. Stress Concentration at Notches. Springer, Cham. Savruk, M.P., Kravets, V.S., Onyshko, L.Yo., Kvasniuk, O.I., 2025. Stress state of an anisotropic body with smooth curvilinear inclusions and cracks under antiplane deformation. Materials Science 60, 640 – 649. Shan, Q., Yang, Y., Xie, Y., Tu, M., & Tan, X., 2021. A surface crack recognition and repair system for small and medium-sized bridges. In Journal of Physics: Conference Series (Vol. 1846, No. 1, p. 012013). IOP Publishing. Serensen, S.V., Zaitsev, G.P., 1982. Load-Bearing Capacity of Thin-Walled Structures made of Reinforced Plastics with Defects [in Russian]. Naukova Dumka, Kyiv. Sih, G.C., Paris, P.C., Irwin, G.R., 1965. On cracks in rectilinearly anisotropic bodies. International Journal of Fracture Mechanics 1, 189 – 203. Sylovanyuk, V.P., Ivantyshyn, N.A., 2022. Crack Healing under Antiplane Deformation of Anisotropic Bodies. Strength of Materials 54, 210 – 215. Sylovanyuk, V.P., Yukhym, R.Ya., 2011. Material strengthening by crack and cavity healing. Strength of Materials 43, 3 – 41. Sylovanyuk, V.P., Yukhym, R.Y., Lisnichuk, А.E., Ivantyshyn, N.А., 2015. Computational model of the tensile strength of fiber -reinforced concrete. Materials Science 51, 340 – 347. Ting, T.C.T., 1996. Anisotropic Elasticity. Theory and Applications. Oxford University Press, Oxford.