Skip to main content
SpringerLink
Log in

Magnetoelastic Waves in Magnetically Active Non-conductive Media

  • Chapter
  • First Online:
Magnetoelastic Waves

Part of the book series: Engineering Materials ((ENG.MAT.))

  • 440 Accesses

Abstract

In this chapter surface waves in magnetostrictive and piezomagnetic media are considered. Linearized equations and boundary conditions for magnetoelasticity of magnetically active ferromagnetic bodies are derived.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Brown, W.F.: Magnetoelastic Interaction, p. 155p. Springer, New-York (1966)

    Book  Google Scholar 

  2. Pao, Y.H., Yen, C.S.: A linear theory for soft ferromagnetic elastic solids. J. Eng. Sci. 11(4), 415–436 (1973)

    Google Scholar 

  3. Polivanov, K.M.: Electrodynamics of Moving Bodies. Energoizdat, Moscow (1982)

    Google Scholar 

  4. Landau, L.D., Lifshits, E.M.: Electrodynamics of Continuous Media, 624p. Nauka, Moscow (1982)

    Google Scholar 

  5. Tamm, I.E.: Electricity bases, 616p. Nauka, Moscow (1976)

    Google Scholar 

  6. Baghdasaryan, G.Y., Danoyan, Z.N.: Basic equations and relations of nonlinear magnetoelastic vibrations of thin electrically conductive plates. Izv. AN Arm. SSR Mech. 38(2), 17–29 (1985)

    Google Scholar 

  7. Novozhilov, V.V.: Fundamentals of the Nonlinear Theory of Elasticity, p. 212p. Gostekhizdat, Moscow (1948)

    MATH  Google Scholar 

  8. Baghdasaryan, G.Y.: Surface vibrations and waves in magnetostrictive media. In: Mathematical Methods and Phys-Tech Fields, Lvov (2004)

    Google Scholar 

  9. Baghdasaryan, G.Y.: Vibrations and Stability of Magnetoelastic Systems, p. 440p. Publishing House. YSU, Yerevan (1999)

    Google Scholar 

  10. Bazer J., Ericson, W.B.: Nonlinear wave motion in magnitoelasticity. Arch. Ration. Mech. Anal. 55(2), 124–192 (1974)

    Google Scholar 

  11. Bland, D.: Nonlinear Dynamic Theory of Elasticity, 184p. Mir, Moscow (1972)

    Google Scholar 

  12. Whizem, J.: Linear and Non-linear Waves, 622p. Mir, Moscow (1977)

    Google Scholar 

  13. Novozhilov, V.V.: Theory of Elasticity, p. 370p. Sudpromgiz, Leningrad (1958)

    Google Scholar 

  14. Brown, W.F.: Theory of magnetoelastic effect in ferromagnetism. J. Appl. Phys. 36 (1965)

    Google Scholar 

  15. Sirotin, Yu.I., Shaskolskaya, M.P.: Fundamentals of Crystallophysics,639p. Nauka, Moscow (1979)

    Google Scholar 

  16. Tirsten, H.F.: On the nonlinear equations of thermoelectroelasticity. Int. J. Eng. Sci. 9, 587–604 (1971)

    Article  MathSciNet  Google Scholar 

  17. Vlasov, K.B.: Some problems in the theory of elastic ferromagnetic (magnetostriction) media. Izv. Acad. Sci. USSR Ser. Phys. (№21, №8), 1140–1148 (1957)

    Google Scholar 

  18. Sedov, L.I.: The Mechanics of a Continuous Medium, vols. 1, 2, 492p. Nauka, Moscow (1976)

    Google Scholar 

  19. Buchwald, V.T., Davis, A.: Magnetoelastic wave prapogation. Mathematika 7, 161–171 (1960)

    Article  MathSciNet  MATH  Google Scholar 

  20. Syrkin, L.N.: Piezomagnetic Ceramics, 219p. Energia, Leningrad (1980)

    Google Scholar 

  21. Berlinkur, D., Keran, D., Joffe, G.: Piezoelectric and piezomagnetic materials and their application in converters. In: Meason, U. (ed.) Physical Acoustics, (Methods and Devices of Ultrasonic Research), vol. 1, pp. 204–326. Mir, Moscow (1966)

    Google Scholar 

  22. Borovik-Romanov, A.S.: Piezomagnetism in antiferromagnetics of cobalt and manganese fluorides. JETP T.38(4), 1088–1098 (1960)

    Google Scholar 

  23. Dzyaloshinsky, I.E.: To the question of piezomagnetism. JETP 33(3), 807–808 (1957)

    Google Scholar 

  24. Tavger, B.A.: Symmetry of the piezomagnetism of antiferromagnets. Crystallography T.3(N3), 342–345 (1958)

    Google Scholar 

  25. Smolensky, G.A., Lemanov, V.V.: Ferrites and Their Technical Application, 219p. Nauka, (1975)

    Google Scholar 

  26. Baghdasaryan, G.Y., Danoyan, Z.N., Sanoyan, L.A.: Reflection of shear magnetoelastic waves from the free boundary of the piezomagnetic half-space. Mech. Interuni. Sat. Sci. Works 5, 102–109 (1986)

    Google Scholar 

  27. Baghdasaryan, G.Y., Danoyan, Z.N., Sanoyan, L.A.: Magnetoelastic waves in piezomagnetic medium. In: Proceedings of the IUTAM Symposium “Electromagnetomechanical interactions in deformable solids and structures”, Tokyo, 1986, NorthHoland, Amsterdam, pp. 323–328 (1987)

    Google Scholar 

  28. Baghdasaryan, G.Y., Danoyan, Z.N., Sanoyan, L.A.: Surface magnetoelastic waves in the piezomagnetic medium. In: Proceedings of the International Symposium Surface Waves, vol. 2, pp. 273–276. Novosibirsk (1986)

    Google Scholar 

  29. Baghdasaryan, G.Y., Danoyan, Z.N., Sanoyan, L.A.: Love waves in magnetostrictive media. Izv. AN Arm. SSR Mech. 42(5), 3–9 (1989)

    Google Scholar 

  30. Baghdasaryan, G.Y., Danoyan, Z.N., Sanoyan, L.A.: Tunneling of shear waves through a gap between two magnetostrictive half-spaces. Izv. AN Arm. SSR Mech. T42(4), 30–36 (1989)

    Google Scholar 

  31. Baghdasaryan, G.Y., Danoyan, Z.N., Sanoyan, L.A.: Surface wave processes in piezomagnetic and magnetoelastic media. In: Proceedings of the IUTAM Symposium on the Mechanical Modellengs of New Electromagnetic Material, pp. 395–399. Stockholm, (1990)

    Google Scholar 

  32. Avetisyan, A.S.: Surface electroelastic waves of finite amplitude in a piezoelectric medium. Proc. NAS RA Mech. 48(2), 27–37 (1995)

    Google Scholar 

  33. Balakirev, M.K., Gilinsky, I.A.: Waves in Piezoelectrics, 240p. Nauka, Novosibirsk (1982)

    Google Scholar 

  34. Fedorov, F.I.: Theory of Elastic Waves in Crystals, 386 pp. Nauka, Moscow (1965)

    Google Scholar 

  35. Baghdasaryan, G.Y., Danoyan, Z.N., Sanoyan, L.A.: Basic equations and relations of the plane problem of magnetoelasticity of piezomagnetic media. Sci. Notes Yerevan State Univ. Yerevan, №. 2, 47–55 (1986)

    Google Scholar 

  36. Berberyan, A.Kh.: Refraction of the electroelastic shear wave at the interface between piezoelectric crystals of cubic and hexagonal symmetry (classes 23 and 6 mm). Izv. NAS Armen. Mech. 55(4), 30–37 (2002)

    Google Scholar 

  37. Ulytko, A.F., Jariy, OYu.: Introduction to the Mechanics of Non-stationary Vibrations and Waves, p. 184p. High School, Kiev (1989)

    Google Scholar 

  38. Sanoyan, L.A.: Antiplane problem of magnetoelasticity of piezomagnetic media. Uch. App. EHU, №3, 30–35 (1986)

    Google Scholar 

  39. Sanoyan, L.A.: Basic equations and relations of the antiplane problem of magnetoelasticity of piezomagnetic crystals. In: Problems of Dynamics. Def. Avg. Yerevan Izv. AN Arm. SSR, p. 231–232 (1987)

    Google Scholar 

  40. Sanoyan, L.A.: Slit waves in magnetostrictive media. Uch. App. YSU, №1, 33–41 (1989)

    Google Scholar 

  41. Sanoyan, L.A. Transmittance of a magnetoelastic wave through a gap between two anisotropic crystals. In: YSU (ed.) Materials of the Sixth All-Union Congress Conference on Composite Materials, pp. 196–197. YSU, Yerevan (1987)

    Google Scholar 

  42. Love, A.E.H.: Some Problems of Geodinamics, 180p. Cambrige University Press, London (1911)

    Google Scholar 

  43. Surface acoustic waves. Dev. Appl. TIER T.64(5), 324 (1976)

    Google Scholar 

  44. Vinogradov, M.B., Rudenko, O.V., Sukhorukov, A.P.: Theory of Waves, 384p. Nauka, Moscow (1979)

    Google Scholar 

  45. Chandrasekharaiah, D.S.: On magneto-elastic transverse surfase waves in an initially stressed half-space. Pure Appl. Geophys. 109(8), 1712–1717 (1973)

    Google Scholar 

  46. Das, N.C., Bhattacharya, S.K.: Love waves in elastic media in presence of magnetic field. Geophys, Res. Bull. 16(2), 105–110 (1978)

    Google Scholar 

  47. Parekh, J.P.: Magnetoelastic surface wave in ferrites. Electron. Lett. №14, 322–329 (1969)

    Google Scholar 

  48. Bleustein, T.L.: A new surface wave in piezoelectric materials. Appl. Phys. Lett. 13(12), 412–413 (1968)

    Article  Google Scholar 

  49. Gulyaev, YuV: Electroacoustic surface waves in piezoelectric materials. JETP Lett. 9, 63–65 (1969)

    Google Scholar 

  50. Parton, V.Z., Kudryavtsev, B.A.: Electromagnetoelasticity of Piezoelectrical and Electrically Conductive Bodies, 472p. Nauka, Moscow (1988)

    Google Scholar 

  51. Viktorov, I.A.: Sound Surface Waves in Solids, 286p. Nauka, Moscow (1981)

    Google Scholar 

  52. Baghdasaryan, G.Y., Danoyan, Z.N., Garakov, V.G.: Shifted surface magnetoelastic waves in an anisotropic piezomagnetic half-space. In: Materials II All-Union. H-T-К “Strength, Rigidity and Manufacturability of Products Made of Composite Materials”, vol. 1, pp. 92–96. Yerevan (1984)

    Google Scholar 

  53. Baghdasaryan, G.Y., Danoyan, Z.N., Garakov, V.G.: Propagation of magnetoelastic waves in the piezomagnetic half-space. In: EHU (ed.) Materials III Vsezoyuz. Symposium “Theoretical questions of magnetoelasticity”, pp. 22–25. EHU, Yerevan (1984)

    Google Scholar 

  54. Rayleigh, J.W.: On waves propagated Along the plane surface of an elastic solid. Proc. Math. Soc. Lond. 17, 4–11 (1885)

    Google Scholar 

  55. Baghdasaryan, G.Y.: Rayleigh waves in magnetostrictive half-space. NAS RA, Mechanics (2017)

    Google Scholar 

  56. Baghdasaryan, G.Y.: Existence and propagation character of shear surface waves in magnetostrictive half-space. Reports of NAS RA (2017)

    Google Scholar 

  57. Maugin, G.A.: Wave motion in magnetizable deformable solids. J. Eng. Sci. 19(12), 321–388 (1981)

    Google Scholar 

  58. Murthy, S.N. Reflection and refraction of magneto-elastic shear waves. Rev. Roum. Sci. Techn. Ser. Mec. Appl. 18(4), 699–715 (1973)

    Google Scholar 

  59. Paria, G.: On magnetoelastic plane waves. Proc. Combridge Phil. Sci. A58, 527–531 (1962)

    Google Scholar 

  60. Tomita, S., Shindo, J.: Reyleigh waves in magnetothermoelastic solids with thermal relaxations. Int. J. Eng. Sci. 17(2), 227–232 (1979)

    Article  MATH  Google Scholar 

  61. Kikoin, I.K. (ed.): Tables of Physical Quantities. Handbook, 1006p. Atomizdat (1976)

    Google Scholar 

  62. Yakovlev, Yu.M., Gendelev, S.Sh.: Monocrystals of ferrites in radioelectronics, 360p. Soviet Radio, Moscow (1975)

    Google Scholar 

  63. Hutter, K.: Wave propagation and attenuation in paramagnetic and soft ferromagnetic materials. . Eng. Sci. 13(12), 1067–1084 (1975)

    Google Scholar 

  64. Baghdasaryan, G.Y.: Excitation of shear surface waves in a half-space by the Rayleigh wave. Izv. AN Arm. SSR Mech. 43(2), 38–43 (1990)

    Google Scholar 

  65. Agranovich, ZN, Dervenko, N.I.: Deformation of a magnetized body by the action of an external magnetic field. Appl. Mech. 11(11), 3–8 (1975)

    Google Scholar 

  66. Moon, F.: Problems in magneto-solid mecanics. In: Mecanics Todey, vol. 4, pp. 307–390. Pergamon Press, New York, (1978)

    Google Scholar 

  67. Grigoryan, E.K.: On the oscillation of a magnetoelastic medium excited by a concentrated harmonic force. Izv. AN Arm. SSR Mech. 31(5), 48–62 (1978)

    Google Scholar 

  68. Kikuchi, E.: Ultrasonic Transducers. Mir, Moscow, 424 p (1972)

    Google Scholar 

  69. Gulyaev, Y.V.: Surface Electrosonic Waves in Solids. Letters to JETP, T. 9, No 1, pp. 63–65 (1969)

    Google Scholar 

  70. Gulyaev, Y.V., Kuzavkov, Y.A., Oleinik, I.N., Shavrov, V.G.: A new type of surface magnetoacoustic waves due to piezomagnetism. JETP 87(2), 674–676 (1984)

    Google Scholar 

  71. Kiselev, M.I.: On waves of finite amplitude in a current-carrying superconducting coaxial line. ZhTF 45(2), 382–385 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Academy of Sciences Armenia, Institute of Mechanics, Yerevan, Armenia

    Gevorg Baghdasaryan & Zaven Danoyan

Authors
  1. Gevorg Baghdasaryan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zaven Danoyan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gevorg Baghdasaryan .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this chapter

Cite this chapter

Baghdasaryan, G., Danoyan, Z. (2018). Magnetoelastic Waves in Magnetically Active Non-conductive Media. In: Magnetoelastic Waves. Engineering Materials. Springer, Singapore. https://doi.org/10.1007/978-981-10-6762-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-6762-4_4

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6761-7

  • Online ISBN: 978-981-10-6762-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation