 | | 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
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 56, Issue 3 / 2021 | Next article >> |
| Israilov M.Sh. and Hamidou H., "Underground explosion action: rapid expansion of a spherical cavity in an elastic medium," Mech. Solids. 56 (3), 376-391 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
3 |
Pages |
376-391 |
| DOI |
10.3103/S0025654421030043 |
| Title |
Underground explosion action: rapid expansion of a spherical cavity in an elastic medium |
| Author(s) |
Israilov M.Sh. (Kh. Ibragimov Complex Institute of the Russian Academy of Sciences, Grozny, 364051 Chechen Republic, Russia, israiler@hotmail.com)
Hamidou H. (Université Abdou Moumouni de Niamey, Niamey, Niger, hamidou_haoua@yahoo.com) |
| Abstract |
An exact analytical solution to the problem of dynamic expansion of a spherical cavity in an elastic medium (soil) with an arbitrary constant speed is obtained. It is assumed that this speed can be large, up to the velocity of propagation of bulk waves in the medium, and therefore the boundary conditions must be set on the moving boundary. The found solution makes it possible to judge the impact (or control the impact) of underground explosions on objects in the "far" zone, at distances significantly exceeding the size of the cavity. Fixed incorrectness in the approximate solution of this problem, given by J. Achenbach and S. Sun. It is found that the approximate solution obtained by the Horn method, which requires a large parameter in the problem, is not valid in some regions of variation of the Poisson's ratio of the medium and the rate of expansion of the cavity. It is shown that for those values of the indicated parameters at which an approximate solution can be taken, it agrees with the exact solution. |
| Keywords |
underground explosion, spherical cavity, dynamic expansion, elastic waves, exact and approximate solutions |
| Received |
31 July 2020 | Revised |
03 August 2020 | Accepted |
15 October 2020 |
| Link to Fulltext |
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