 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| V.I. Erofeev and A.O. Mal'khanov, "Localized Strain Waves in a Nonlinearly Elastic Conducting Medium Interacting with a Magnetic Field," Mech. Solids. 52 (2), 224-231 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
2 |
Pages |
224-231 |
| DOI |
10.3103/S0025654417020121 |
| Title |
Localized Strain Waves in a Nonlinearly Elastic Conducting Medium Interacting with a Magnetic Field |
| Author(s) |
V.I. Erofeev (Nizhnii Novgorod Branch of Blagonravov Institute of Mechanical Engineering of the Russian Academy of Sciences, ul. Belinskogo 85, Nizhnii Novgorod, 603024 Russia, erof.vi@yandex.ru)
A.O. Mal'khanov (Nizhnii Novgorod Branch of Blagonravov Institute of Mechanical Engineering of the Russian Academy of Sciences, ul. Belinskogo 85, Nizhnii Novgorod, 603024 Russia) |
| Abstract |
The influence of magnetic field on the generation of a localized wave in a nonlinearly elastic conducting medium is considered. The evolution equation for describing the wave beam propagation in the medium is derived. It is shown that the wave beam parameters depend on the value of the external magnetic field and on the field orientation in space. |
| Keywords |
magnetic field, nonlinearly elastic medium, magnetoelasticity |
| References |
| 1. | S. A. Ambartsumyan, G. E. Bagdasaryan, and M. V. Belubekyan,
Magnetoelasticity of Thin Shells and Plates
(Nauka, Moscow, 1977)
[in Russian]. |
| 2. | G. E. Bagdasaryan and Z. N. Danoyan,
Electromagnetoelastic Waves
(Izdat. EGU, Erevan, 2006)
[in Russian]. |
| 3. | I. T. Selezov and L. V. Selezova,
Waves in Electromagnetoelastic Media
(Naukova Dumka, Kiev, 1975)
[in Russian]. |
| 4. | Ya. S. Podstrigach, Ya. I. Burak, and V. F. Kondrat,
Magnetothermoelasticity of Electroconducting Bodies
(Naukova Dumka, Kiev, 1975)
[in Russian]. |
| 5. | N. R. Sibgatullin,
Oscillations and Waves in Strongly Gravitational and Electromagnetic Fields
(Nauka, Moscow, 1984)
[in Russian]. |
| 6. | W. Nowacki,
Electromagnetic Effects in Solids
(PWN, Warszawa, 1983; Mir, Moscow, 1986). |
| 7. | G. A. Maugin,
Continuum Mechanics of Electromagnetic Solids
(North-Holland, Amsterdam, 1988; Mir, Moscow, 1991). |
| 8. | S. Kaliski, Cz. Rymarz, and K. Sobczyk,
Vibrations and Waves
(North-Holland, Amsterdam, 1992). |
| 9. | D. I. Bardzokas, B. A. Kudryavtsev, and N. A. Sennik,
Wave Propagation in Electromagnetoelastic Media
(Editorial URSS, Moscow, 2003)
[in Russian]. |
| 10. | V. V. Klyuev (Editor), Nondestructive Testing, Vol. 6:
Magnetic Methods for Testing. Optical Testing. Radio Wave
Testing (Mashinostroenie, Moscow, 2006) [in Russian]. |
| 11. | A. A. Uglov (Editor),
Physical-Chemical Methods of Material Processing by Concentrated Energy Fluxes
(Nauka, Moscow, 1989)
[in Russian]. |
| 12. | A. F. Ghaleb and M. M. Ayad,
"Nonlinear Waves in Thermo-Magnetoelasticity. I. Basic Equations.
II. Wave Generation in a Perfect Conductor,"
Int. J. Appl. Electromagn.
9 (4), 339-379 (1998). |
| 13. | L. K. Zarembo and V. A. Krasil'nikov,
Introduction to Nonlinear Acoustics
(Nauka, Moscow, 1966)
[in Russian]. |
| 14. | V. I. Erofeev and A. O. Malkhanov,
"Influence of Magnetic Field on Strain Wave Localization,"
Probl. Mashinostr. Nadezhn. Mashin,
No. 1, 95-100 (2010). |
| 15. | V. I. Erofeev and A. O. Malkhanov,
"Localized Magnetoelastic Wave Formation,"
Int. Rev. Mech. Engng
4 (5), 581-585 (2010). |
| 16. | A. O. Malkhanov and V. I. Erofeev,
"Magnetoelastic Riemann Wave in a Rod,"
Nelin. Mir
7 (12), 933-936 (2009). |
| 17. | V. I. Erofeev, A. I.Zemlyanukhin, V. M. Katson, and A. O. Malkhanov,
"Nonlinear Localized Longitudinal Waves in a Plate Interacting with Magnetic Field,"
Vych. Mekh. Sploshn. Sred
3 (4), 5-15 (2010). |
| 18. | V. I. Erofeev and A. O. Malkhanov,
"Nonlinear Localized Longitudinal Magnetoelastic Waves in a Plate
in an Arbitrarily Oriented Magnetic Field,"
Vych. Mekh. Sploshn. Sred
5 (1), 79-84 (2012). |
| 19. | L. D. Landau and E. M. Lifshits,
Electrodynamics of Continua
(Nauka, Moscow, 1982)
[in Russian]. |
| 20. | V. I. Erofeev,
Wave Processes in Solids with Microstructure
(Izdat. MGU, Moscow, 1999)
[in Russian]. |
| 21. | O. V. Rudenko,
"The 40th Anniversary of the Khokhlov-Zabolotskaya Equation,"
Akust. Zh.
56 (4), 452-462 (2010)
[Acoust. Phys. (Engl. Transl.)
56 (4), 457-466 (2010)]. |
|
| Received |
16 March 2015 |
| Link to Fulltext |
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