Skip to main content

Electro-Magneto-Elasticity

  • Conference paper
Topics in Applied Continuum Mechanics

Abstract

In this paper we consider the finite deformation of a magnetized and/or polarized elastic body, placed in an electro-magnetic field. We shall be concerned with the general dynamic problem, in which the body may be magnetically saturated or non-saturated, and may conduct currents. But we shall confine our considerations to the non-relativistic case, i.e. we assume the velocities to be small with respect to the velocity of light. In our theory we aim at a unification of electro-magnetic theory and continuum mechanics: we shall derive the force distribution of electro-magnetic origin and the influence of the deformation of the body on the field.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Toupin, R.A., J. Rat. Mech. Anal. 5, 849–916 (1956).

    MathSciNet  MATH  Google Scholar 

  2. Toupin, R.A., Int. J. Eng. Sc. 1, 101–126 (1963).

    Article  MathSciNet  Google Scholar 

  3. Tiersten, H.F., J. Math. Phys. 5, 1298–1318 (1964).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Tiersten, H.F., J. Math. Phys. 6, 779–787 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  5. Brown, W.F., Magneto-elastic Interactions, Springer-Verlag, Berlin, 1966.

    Book  Google Scholar 

  6. Akhieser, A.T., Bar’yakhtar, V.G., Peletminskii, S.V., Spin waves, North Holl. Publ. Co., Amsterdam, 1968.

    Google Scholar 

  7. Alblas, J.B., Mechanics of Generalized Continua, 350-354, Springer-Verlag, 1967.

    Google Scholar 

  8. Alblas, J.B., Symp. Math. I, 229-251, Inst. Naz. di alta Math. ed. Ac. Press (1968).

    Google Scholar 

  9. Alblas, J.B., Dynamic Theory of Magneto-elastic Interactions, 1-159, unpublished lecture notes.

    Google Scholar 

  10. Fano, R.M., Chu, L.J., and Adler, R.B., Electro-magnetic fields, Energy and Forces, Wiley & Sons, New York, 1960.

    Google Scholar 

  11. Penfield, P., Haus, H.A., Electrodynamics of moving media, M.I.T. press, Cambridge, Mass., 1967.

    Google Scholar 

  12. Green, A.E., Rivlin, R.S., Arch. Rat. Mech. Anal., 16, 325–353, 1964.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

J. L. Zeman F. Ziegler

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag Wien

About this paper

Cite this paper

Alblas, J.B. (1974). Electro-Magneto-Elasticity. In: Zeman, J.L., Ziegler, F. (eds) Topics in Applied Continuum Mechanics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4188-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-4188-5_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81260-0

  • Online ISBN: 978-3-7091-4188-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics