 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 46, Issue 2 / 2011 | Next article >> |
| E.Yu. Mikhailova and G.V. Fedotenkov, "Nonstationary Axisymmetric Problem of the Impact of a Spherical Shell on an Elastic Half-Space (Initial Stage of Interaction)," Mech. Solids. 46 (2), 239-247 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
2 |
Pages |
239-247 |
| DOI |
10.3103/S0025654411020129 |
| Title |
Nonstationary Axisymmetric Problem of the Impact of a Spherical Shell on an Elastic Half-Space (Initial Stage of Interaction) |
| Author(s) |
E.Yu. Mikhailova (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, tdv@mai.ru)
G.V. Fedotenkov (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia) |
| Abstract |
The supersonic stage of interaction (where the rate of expansion of the contact region is no less than the speed of compression waves) between a Timoshenko-type spherical shell (indenter) and an elastic half-space (foundation) is studied. The expansion of the desired functions in series in Legendre polynomials and their derivatives are used to construct a system of resolving equations. An analytical-numerical algorithm for solving this system is developed. A similar problem was considered in [1], where the original problem was replaced by a problem with a periodic system of indenters. |
| Keywords |
nonstationary contact problem, influence function, Timoshenko-type spherical shell, elastic half-space |
| References |
| 1. | V. D. Kubenko and V. R. Bogdanov,
"Axisymmetric Impact of a Shell on an Elastic Halfspace,"
Prikl. Mekh.
31 (10), 56-63 (1995)
[Int. Appl. Mech. (Engl. Transl.)
31 (10), 829-835 (1995)]. |
| 2. | A. G. Gorshkov, A. L. Medvedskii, L. N. Rabinskii, and D. V. Tarlakovskii,
Waves in Continuous Media
(Fizmatlit, Moscow, 2004)
[in Russian]. |
| 3. | A. G. Gorshkov and D. V. Tarlakovskii,
Dynamic Contact Problems with Moving Boundaries
(Nauka, Fizmatlit, Moscow, 1995)
[in Russian]. |
| 4. | M. Abramowitz and I. A. Stegun (Editors)
Handbook of Mathematical Functions,
with Formulas, Graphs, and Mathematical Tables,
Ed. by M. Abramowitz and I. Stegun
(Dover, New York, 1972; Nauka, Moscow, 1979). |
| 5. | N. S. Bakhvalov,
Numerical Methods: Analysis, Algebra, Ordinary Differential Equations
(Nauka, Moscow, 1975; Central Books, 1978). |
| 6. | I. M. Gelfand and G. E. Shilov,
Generalized Functions and Operations over Them
(Fizmatgiz, Moscow, 1959)
[in Russian]. |
|
| Received |
06 December 2010 |
| Link to Fulltext |
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