PSI - Issue 81

Leonid Voytovych et al. / Procedia Structural Integrity 81 (2026) 287–291

291

Table 3 presents the stress concentration factors at points 1 (5), 3, and 7.

Table 3. Stress concentration coefficients. № contour points

Contour is compressed ( K ) Contour is stretched ( K )

p. 1(5)

2.1

2.1 1.9 2.2

p.3 p.7

2.35

2.4

4. Conclusions 1. When a circular plate is bent by a central axial force, the surfaces on which σR=0 and σθ=0 are located inside the plate a nd do not coincide with each other or with the mid-surface of the plate. 2.Under bending of both a thin circular plate and a modera tely thick plate, the circumferential stresses σφ along the hole contour on the plate surface have the same sign, which coincides with the sign of the bending stresses on that surface. 3. For the thin plate, the maximum stresses occur at points 1 (5) of the hole contour on the tensile surface of the plate. For the moderately thick plate, the maximum stresses occur at points 3 and 7 of the hole contour on the compressed surface of the plate. 4. The stress concentration factor near the hole is K = 2.7 for the thin plate and K = 2.4 for the moderately thick plate. References Kryzhanivskyi Y., Chornopyskyi D., Paliichuk I., 2019. Stress concentration in the casing when cutting a hole for the side wellbore. Exploration and development of oil and gas fields 3(72), 7-18. Kashytskyi, V. P., Sadova, O. L., Melnychuk, M. D., Golodyuk, G. I., Klymovets, O. B., 2023. Structuring of modified epoxy composite materials by infrared spectroscopy. Journal of Engineering Sciences 10(1), 9-16. Malezhik, M., Voitovich, L., 2014. Photoelastic Modeling of Problems in the Mechanics of Orthotropic Bodies. International Applied Mechanics 50(6), 699-705. Malezhyk, М. , Pidhurs’kyi, М. , Rudyak, Y., Pidhurs’kyi, І. , Voitovych, L.V., 2019. Investigation of the fracture of an orthotropic plate with circular hole and two edge cracks under pulsed loading by the method of dynamic photoelasticity. Materials Science 55 (2), 254-258. Pidgurskyi, I., Stashkiv, M., Baranovsky, V., Pidgurskyi, M., Rudyak, Yu., Dubyniak, T., 2024. Research of the Overloading Influence on the Propagation of Semi Elliptical Surface Cracks with Different Shape Configurations in Low-Alloy Steel. Procedia Structural Integrity 59, 314 – 321. Rudyak, Yu. А., Pidhurs’kyi, М. І., 2015. Investigation of the strength of multilayer structures of transparent dielectrics b y the optical methods. Materials Science 51(2), 218 – 222. Savyn G., Tulchii V. 1976. Handbook of stress concentration. Kyiv,.412. Voitovich, L., Malezhik, M., Chernyshenko, I., 2010. Photoelastic modeling of the fracture of viscoelastic orthotropic plates with a crack. International Applied Mechanics 46(6), 677 – 682. Voitovich, L., Malezhik, M., Chernyshenko, I., 2011. Stress state around cracks on the boundary of a hole in a photoelastic orthotropic plate under creep. International Applied Mechanics 46(11), 1268 – 1274. Yasniy O., Lapusta, Y., Pyndus, Y., Sorochak A., Yasniy V., 2013. Assessment of lifetime of railway axle. International Journal of Fatigue 50, 40 – 46. Yasniy O., Pyndus Yu., Iasnii V., Lapusta Y., 2017. Residual lifetime assessment of thermal power plant superheater header. Engineering Failure Analysis 82, 390-403.