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Kirillova I. V. Asymptotic theory of the transient waves in shells of revolution at shock edge loading of the bending type. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2025, vol. 25, iss. 1, pp. 80-90. DOI: 10.18500/1816-9791-2025-25-1-80-90, EDN: SUWSYV
Asymptotic theory of the transient waves in shells of revolution at shock edge loading of the bending type
The present work is devoted to completing the construction of the nonstationary stress-stain state asymptotic theory of shells of revolution at shock edge bending loading. There components with different values of the variability and dynamicity indices are used. This asymptotic model applies such components as the bending component of the Kirchoff – Love shell theory, the antisymmetric high-frequency short-wave component and the antisymmetric hyperbolic boundary layer in the vicinity of the dilatation wave front. The existence of the overlap regions is indicative of the exact statement of the boundary value problems for all the components and of the validity of the introduced separation scheme.
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