 | | 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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| O.V. Dudko and V.E. Ragozina, "On the Motion of Shock Waves at a Constant Speed in Multimodulus Elastic Media," Mech. Solids. 53 (1), 111-119 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
1 |
Pages |
111-119 |
| DOI |
10.3103/S0025654418010132 |
| Title |
On the Motion of Shock Waves at a Constant Speed in Multimodulus Elastic Media |
| Author(s) |
O.V. Dudko (Institute for Automation and Control Processes of the Far East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia; Far East Federal University, ul. Sukhaniva 8, Vladivostok, 690000 Russia, dudko@iacp.dvo.ru)
V.E. Ragozina (Institute for Automation and Control Processes of the Far East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia) |
| Abstract |
For piecewise linear models of multimodulus elastic media, exact analytical solutions of one-dimensional dynamic deformation problems with plane or spherical wave surfaces are presented. Compression-extension regimes with the appearance of a centered Riemann wave and extension-compression with formation of a shock wave are considered. As the main solution method for the compression phase, we use the method of inverse determination of the boundary condition from known information on the nature of motion of the shock wave. Essential qualitative differences of the solutions obtained from the corresponding classical results for linearly elastic media are especially important in the study of the dynamics of porous and cohesive granular media. |
| Keywords |
elasticity, multimodulus property, piecewise linear model, plane waves, spherical waves, shock wave, simple discontinuity, centered Riemann wave |
| References |
| 1. | I. V. Baklashov and B. A. Kartozia,
Rock Mechanics
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[in Russian]. |
| 2. | A. V. Berezin,
Effect of Damage on Strain and Strength of Solids
(Nauka, Moscow, 1990)
[in Russian]. |
| 3. | E. V. Lomakin and Yu. N. Rabotnov,
"A Theory of Elasticity for an Isotropic Body with Different Moduli in Tension and Compression,"
Izv. AN SSSR. MTT,
No. 6, 29-34 (1978)
[Mech. Solids (Engl. Transl.)
13 (6), 25-30 (1978)]. |
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[in Russian]. |
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and Compression,"
Izv. AN SSSR. MTT.
No. 2, 44-53 (1966)
[Mech. Solids (Engl. Transl.)
1 (2), 29-34 (1966)]. |
| 6. | O. V. Dudko, A. A. Lapteva, and V. E. Ragozina,
"About the Occurrence of Plane and Spherical Waves in an Elastic Medium, Different Resistance
to Tension and Compression,"
Vestnik Chuvash. Gos. Ped. Univ. im I. Ya. Yakovleva. Ser. Mekh. Pred. Sost.
No. 4(14), 147-155 (2012). |
| 7. | D. R. Bland,
Nonlinear Dynamical Elasticity
(Blaisdell, London, 1969; Mir, Moscow, 1972). |
| 8. | O. V. Dudko, A. A. Lapteva, and K. T. Semenov,
"About Distribution of Flat One-Dimensional Waves and Their Interaction with Barrier
in the Media Differently Reacting to a Stretching and Compression,"
Dal'nevost. Mat. Zh.
6 (1-2), 94-105 (2005). |
| 8. | V. P. Maslov and P. P. Mosolov,
Theory of Elasticity for a Medium with Unequal Moduli of Elasticity
(Izdat. MIEM, Moscow, 1985)
[in Russian]. |
|
| Received |
23 July 2015 |
| Link to Fulltext |
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