Modeling of a cyclic shell with a local deepening on the inner surface
https://doi.org/10.26907/2541-7746.2025.1.196-208
Abstract
A mathematical model for calculating the stress-strain state (SSS) of a cyclic shell with a defect in the form of a local non-through depression on the inner surface was constructed using a three dimensional spline version of the finite element method (FEM). An approach was proposed that combines the parameterization of the region under consideration and the cubic approximation of the target variables. The findings on the stress distribution in the defective region were presented for different locations of the depression zone. The patterns of change in the SSS of a cyclic shell with variations in the geometric parameters of the depression were established.
About the Authors
S. N. Yakupov
FRC Kazan Scientific Center, Russian Academy of Sciences
Russian Federation
Russian Federation
Samat N. Yakupov, Cand. Sci. (Engineering), Senior Researcher, Institute of Mechanics and Engineering
Kazan
H. G. Kiyamov
FRC Kazan Scientific Center, Russian Academy of Sciences
Russian Federation
Russian Federation
Hakim G. Kiyamov, Cand. Sci. (Engineering), Senior Researcher, Institute of Mechanics and Engineering
Kazan
I. Z. Mukhamedova
FRC Kazan Scientific Center, Russian Academy of Sciences; Kazan State University of Architecture and Engineering; Kazan Federal University
Russian Federation
Russian Federation
Inziliya Z. Mukhamedova, Cand. Sci. (Physics and Mathematics), Associate Professor, Department of Mechanics, Kazan State University of Architecture and Engineering; Senior Researcher, Institute of Mechanics and Engineering, FRC Kazan Scientific Center, Russian Academy of Sciences; Senior Researcher, N.I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University
Kazan
B. F. Tazyukov
Kazan Federal University
Russian Federation
Russian Federation
Bulat F. Tazyukov, Cand. Sci. (Physics and Mathematics), Deputy Director for Research
Kazan
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Review
For citations:
Yakupov S.N., Kiyamov H.G., Mukhamedova I.Z., Tazyukov B.F. Modeling of a cyclic shell with a local deepening on the inner surface. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2025;167(1):196-208. (In Russ.) https://doi.org/10.26907/2541-7746.2025.1.196-208
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