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Magneto-thermo-elastic waves in an infinite perfectly conducting solid without energy dissipation

Roy Choudhuri S. K.

Journal of Technical Physics

2006

Vol. 47, no 2

63-72

The generalized theory of Thermoelasticity II without energy dissipation is employed to study the propagation of time-harmonic plane waves in an unbounded, perfectly electrically conducting elastic medium subjected to a primary uniform magnetic field. A more general dispersion equation for coupled magneto-thermoelastic waves is derived. It reveals that the coupled magneto-thermoelastic waves correspond to modified dilatational and thermal waves propagation with finite speeds modified by finite thermal wave speed, thermoelastic coupling and the external magnetic field. The waves propagate without attenuation and dispersion in contrast to the magneto-thermoelastic waves in classical thermoelasticity and in other generalized thermoelastic theories where the coupled waves undergo both attenuation and dispersion. Numerical results for a copper-like material are presented.