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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2025 Volume 25, Issue 1, Pages 80–90 (Mi isu1066)

This article is cited in 1 paper

Scientific Part
Mechanics

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

I. V. Kirillova

Saratov State University, 83 Astrakhanskaya St., Saratov 410012, Russia

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.

UDC: 539.3

Received: 21.10.2024
Accepted: 19.11.2024

DOI: 10.18500/1816-9791-2025-25-1-80-90



© Steklov Math. Inst. of RAS, 2026