 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12977 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4881 |
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| << Previous article | Volume 59, Issue 5 / 2024 | Next article >> |
| I.V. Kirillova, "Elliptic Boundary Layer in Shells of Revolution under Surface Shock Loading of Normal Type," Mech. Solids. 59 (5), 2686-2693 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
5 |
Pages |
2686-2693 |
| DOI |
10.1134/S0025654424604397 |
| Title |
Elliptic Boundary Layer in Shells of Revolution under Surface Shock Loading of Normal Type |
| Author(s) |
I.V. Kirillova (Saratov State University, Saratov, 410012 Russia, nano-bio@info.sgu.ru) |
| Abstract |
In the present article, a method for solving a boundary value problem for an elliptical
boundary layer occurring in thin-walled shells of revolution under normal-type impacts on the front
surfaces is constructed. The elliptical boundary layer is constructed in the vicinity of a conditional
front of Rayleigh surface waves and is described by elliptic equations with boundary conditions specified by hyperbolic equations. In the general case of shells of revolution, the methods for solving equations for an elliptical boundary layer developed for shells of revolution of zero Gaussian curvature cannot be used. The previously considered scheme for using the integral Laplace and Fourier transforms
ceases to work since the resolving equations become equations with variable coefficients. The method
for solving the equations of an elliptical boundary layer proposed in this paper is based on the use of
an asymptotic representation of the images of the Laplace solution (in time) in exponential form. The paper presents a numerical calculation of the normal stress based on the obtained analytical solutions
for the case of a spherical shell. |
| Keywords |
asymptotic method, elliptic boundary layer, shell of revolution, spherical shell, Rayleigh surface wave front, Laplace transform, Fourier transform |
| Received |
21 June 2024 | Revised |
27 June 2024 | Accepted |
28 June 2024 |
| Link to Fulltext |
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