Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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IssuesArchive of Issues2020-5pp.710-715

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Total articles in the database: 4932
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I.V. Kirillova and L.Yu. Kossovich, "Asymptotic Methods for Studying an Elliptical Boundary Layer in Shells of Revolution under Normal Type Shock End Impacts," Mech. Solids. 55 (5), 710-715 (2020)
Year 2020 Volume 55 Number 5 Pages 710-715
DOI 10.3103/S0025654420050106
Title Asymptotic Methods for Studying an Elliptical Boundary Layer in Shells of Revolution under Normal Type Shock End Impacts
Author(s) I.V. Kirillova (Saratov State University, Saratov, 410012 Russia,
L.Yu. Kossovich (Saratov State University, Saratov, 410012 Russia,
Abstract In this paper, asymmetric equations for an elliptical boundary layer in the vicinity of the conditional front of Rayleigh surface waves, which occurs in shells of revolution under shock end impacts of normal type are constructed. The technique of asymptotic derivation of these equations, based on the use of the symbolic Lurie method and the introduction of special coordinates that distinguish a small frontal zone required to reduce the original problem to an equivalent problem for an infinite shell by isolating a particular solution. The considered boundary layer complements the full description of the considered type of stress-strain state (SSS) in all sections of the phase plane. It also uses a quasi-static boundary layer of the Saint-Venant type in a small vicinity of the butt end, a parabolic boundary layer according to the two-dimensional KirchhoffLove theory, a quasi-plane shortwave component, and a hyperbolic boundary layer in a small neighborhood of the shear wave front. In conclusion, an example of constructing an elliptical boundary layer under shock action on the butt end of a cylindrical shell is considered.
Keywords shell of revolution, asymptotic methods, frontal asymptotic method, shock loads, symbolic Lurie method, Rayleigh wave, boundary layer
Received 12 March 2020Revised 02 April 2020Accepted 04 April 2020
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