 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.G. Bazhenov and V.L. Kotov, "Solution of problems of oblique penetration of axisymmetric projectiles into soft soil based on local interaction models," J. Appl. Math. Mech. 74 (3), 278-285 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
3 |
Pages |
278-285 |
| Title |
Solution of problems of oblique penetration of axisymmetric projectiles into soft soil based on local interaction models |
| Author(s) |
V.G. Bazhenov (Nizhnii Novgorod, Russia)
V.L. Kotov (Nizhnii Novgorod, Russia, vkotov@inbox.ru) |
| Abstract |
A comparative analysis of the solutions of the three-dimensional problem of the oblique penetration of a rigid body into soft soil is carried out arsing interaction models based on one-dimensional solutions of the problem of the spherical cavity expansion. Both the well-known self-similar analytical solutions for an incompressible medium as well as the generalized solution for a compressible elastoplastic medium with separation of the shock wave which arises are considered. Use of the incompressible medium hypothesis, disregarding flow separation, in estimating the maximum values of the resistive forces leads to large errors. Taking account of compressibility enables the resistive forces to be refined appreciably and enables a satisfactory estimate of the deviation of the trajectories of bodies from the initial direction of motion to the obtained. In the proposed method of solving oblique penetration problems, a three-dimensional problem is reduced, on the basis of the plane sections hypothesis and disregarding peripheral mass and momentum flows, to the combined solution of a number of axisymmetric problems for each meridional section. It is shown that, with well-known local interaction models, this approach enables the reliability of the calculation of both the force and the kinematic characteristics of the penetration process to be increased considerably due to the fact that the dynamics of the free surface and cavitation effects of the covitating flow are taken into account. |
| Received |
09 February 2009 |
| Link to Fulltext |
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