Magneto-Thermo-Elastic Waves in an Infinite Perfectly Conducting Elastic Solid With Energy Dissipation

Payel Das; M. Kanoria

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(2): 213-220

Payel Das, M. Kanoria. Magneto-Thermo-Elastic Waves in an Infinite Perfectly Conducting Elastic Solid With Energy Dissipation[J]. Applied Mathematics and Mechanics, 2009, 30(2): 213-220.

Citation:

Payel Das, M. Kanoria. Magneto-Thermo-Elastic Waves in an Infinite Perfectly Conducting Elastic Solid With Energy Dissipation[J]. Applied Mathematics and Mechanics, 2009, 30(2): 213-220.

Citation:

Payel Das, M. Kanoria. Magneto-Thermo-Elastic Waves in an Infinite Perfectly Conducting Elastic Solid With Energy Dissipation[J]. Applied Mathematics and Mechanics, 2009, 30(2): 213-220.

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Magneto-Thermo-Elastic Waves in an Infinite Perfectly Conducting Elastic Solid With Energy Dissipation

Payel Das¹,
M. Kanoria²

1.
Netaji Subhash Engineering College, Technocity, Police Para, Panchpota, Garia, Kolkata-700 152, India;

Received Date: 2008-02-14
Rev Recd Date: 2008-12-04
Publish Date: 2009-02-15

Abstract

Abstract

The generalized theory of thermo-elastiaty, r.e., Green and Naghdi (G-N)Ⅲ theory, with energy dissipation(TEWED) is employed in the study of time-harmonic plane wave prpagation in an unbounded, perfectly electxiically conducting elastic medium subject to primary uniform magnetic field. A more general dispersion equation with complex coefficients was obtained for coupled magneto-themlo-elastic wave which is solved in complex domain by using Leguerre's method. It is revealed that the coupled magneto-themlo-elastic wave corresponds to modified dilatational and thermal wave propagation with finite speeds modified by finite thermal wave speeds, thermo-elastic coupling, thermal diffusivity and the external magnetic field. Numerical results for a copper-like material are presented.
- generalized theimoelasticity,
- magneto-thermo-elastic wave,
- energy dissipation

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References(23)

References

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