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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Publication Details

Journal
Izvestiya of Saratov University Mathematics Mechanics Informatics
Published
2025-02-21
DOI
https://doi.org/10.18500/1816-9791-2025-25-1-80-90
Citations
1
Primary Topic
Elasticity and Wave Propagation
Type
article
Field-Weighted Citation Impact
0.86
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article

Asymptotic theory of the transient waves in shells of revolution at shock edge loading of the bending type

И. В. Кириллова
1 citations
Izvestiya of Saratov University Mathematics Mechanics Informatics
Elasticity and Wave Propagation
0.86
article

Asymptotic theory of the transient waves in shells of revolution at shock edge loading of the bending type

И. В. Кириллова
article en
1 citations

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.

Izvestiya of Saratov University Mathematics Mechanics InformaticsVol. 25(1)
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Elasticity and Wave Propagation
0.86
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