Nonlinear longitudinal localized magnetoelastic waves in a plate in an arbitrarily oriented magnetic field

Authors

  • Vladimir Ivanovich Erofeyev Nizhny Novgorod Branch of Blagonravov Mechanical Engineering Research Institute RAS
  • Alexey Olegovich Malkhanov Nizhny Novgorod Branch of Blagonravov Mechanical Engineering Research Institute RAS

DOI:

https://doi.org/10.7242/1999-6691/2012.5.1.10

Keywords:

nonlinearity, localization, magnetoelasticity, longitudinal wave, arbitrary spatial orientation, magnetic field

Abstract

The influence of orientation of an external magnetic field on the characteristics of longitudinal magnetoelastic waves propagating in a homogeneous nonlinear elastic plate is studied. We estimate the relative degree of impact strength and orientation of the magnetic field on the parameters of the magnetoelastic wave.

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References

Ambarcuman S.A., Bagdasaran G.E., Belubekan M.V. Magnitouprugost’ tonkih obolocek i plastin. - M.: Nauka, 1977. - 272 s.
Bagdasaran G.E., Danoan Z.N. Elektromagnitouprugie volny. - Erevan: Izd-vo EGU, 2006. - 492 s.
Novackij V. Elektromagnitnye effekty v tverdyh telah. - M.: Mir, 1986. - 160 s.
Mozen Z. Mehanika elektromagnitnyh splosnyh sred. - M.: Mir, 1991. - 560 s.
Tzou H.S. Piezoelectric shells (distributed sensing and control of continua). - Dordrecht: Kluwer, 1993. - 480 p.
Rogacheva N. The theory of piezoelectric plates and shells. - Boca Raton: CRC Press, 1994. - 260 p.
Erofeev V.I., Zemlanuhin A.I., Katson V.M., Mal’hanov A.O. Nelinejnye lokalizovannye prodol’nye volny v plastine, vzaimodejstvuusej s magnitnym polem // Vycisl. meh. splos. sred. - 2010. - T. 3, No 4. - S. 5-15.
Erofeev V.I., Potapov A.I., Soldatov I.N. Nelinejnye volny v uprugih telah s prostranstvennoj dispersiej / Gor’kovskij un-t, 1986. - 224 s. - Dep. v VINITI 25.07.86, No 5440-V86.
Selezov I.T., Korsunskij S.V. Nestacionarnye i nelinejnye volny v elektroprovodasih sredah. Kiev: Naukova dumka, 1991. - 200 s.
Kydryashov N.A. Simplest equation method to look for exact solutions of nonlinear differential equations // Chaos, Solitons and Fractals. - 2005. - V. 24, N. 5. - P.1217-1231. DOI

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Published

2012-05-01

Issue

Vol. 5 No. 1 (2012)

Section

Articles

License

Copyright (c) 2012 Computational Continuum Mechanics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Erofeyev, V. I., & Malkhanov, A. O. (2012). Nonlinear longitudinal localized magnetoelastic waves in a plate in an arbitrarily oriented magnetic field. Computational Continuum Mechanics, 5(1), 79-84. https://doi.org/10.7242/1999-6691/2012.5.1.10