Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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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

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
28.02.2025
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Language: 
Russian
Heading: 
Mathematics
Article type: 
Article
UDC: 
539.3
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

Autors: 
Kirillova Irina V., Saratov State University
Abstract: 

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.

Key words: 
asymptotic theory
bending component
high-frequency short-wave component
hyperbolic boundary layer
dilatation wave front
overlap region
shell of revolution
References: 
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Received: 
21.10.2024
Accepted: 
19.11.2024
Published: 
28.02.2025
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