Hostname: page-component-848d4c4894-89wxm Total loading time: 0 Render date: 2024-07-06T22:51:21.956Z Has data issue: false hasContentIssue false
  • English
  • Français

Magneto-elastic coupling effects on the propagation of harmonic waves in an electrically conducting elastic plate

Published online by Cambridge University Press:  24 October 2008

C. M. Purushotham
C. M. Purushotham
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur
Get access Rights & Permissions [Opens in a new window]

Abstract

The influence of a uniform external magnetic field on the propagation of harmonic waves in a perfectly conducting elastic plate extending to infinity in vacuum, with its plane boundaries free of mechanical tractions, has been studied. With the plane of the field and the direction of wave propagation being normal to the plate, it is found that the effects of electromagnetic radiation into the adjoining free space cannot be neglected in the case of waves polarized in the plane. When the field is aligned with the direction of propagation, the maximum influence appears to be on long flexural waves, whereas if the field is normal to the plate then the effect is very much pronounced on long plate waves, and the flexural waves propagate almost with Alfvén velocity.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 503 - 511
Copyright
Copyright © Cambridge Philosophical Society 1967

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Abubaker, Iya.Appl. Sci. Res. B 12 (1965), 81.Google Scholar
(2)Alers, G. A. and Fleury, P. A.Phys. Rev. 129, (1960), 2425.CrossRefGoogle Scholar
(3)Dunkin, J. W. and Eringen, A. C.Internat. J. Eng. Sci. 1 (1963), 461.CrossRefGoogle Scholar
(4)Knopoff, L.J. Geophys. Res. 60 (1955), 441.CrossRefGoogle Scholar
(5)Purushotham, C. M.Proc. Cambridge Philos. Soc. 61 (1965), 939.CrossRefGoogle Scholar
(6)Purushotham, C. M.Pure Appl. Geophys. 61 (1965/II), 60; Errata 63 (1966/I), 253.CrossRefGoogle Scholar
(7)Purushotham, C. M.Proc. Cambridge Philos. Soc. 62 (1966), 541.CrossRefGoogle Scholar