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

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
63--72
Opis fizyczny
Bibliogr. 23 poz., wykr.
Twórcy
Bibliografia
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  • 5. G. PARIA, On Magneto-thermo-elastic plane waves, Proc. Camh. Phil. Soc., 58, 527-531, 1962.
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  • 8. S.K. ROY CHOUDHURI, Magneto-thermo elastic plane waves in infinite conducting solids with thermal relaxation, Proc. IUTAM symposium on Mechanical modellings of new electromagnetic materials, R.K.T. HSTEH [Ed.], pp. 461-468, Elsevier, New York 1990. '
  • 9. S.K. ROY CHOUDHURI, Electromagneto-thermo-elastic plane waves in rotating media with thermal relaxation, Int. Jr. Engng. Sci., 22, 519-530, 1984.
  • 10. S.K. ROY CHOUDHURI, L. DEBNATH, Magneto-thermo-elastic plane waves in rotating media, Int. Jr. Engng. Sci., 21, 155-163, 1983.
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  • 15. D.S. CHANDRASEKHARIAH, Thermoelastic plane waves without energy dissipation, Mech. Res. Comm., 23, 549-555, 1996.
  • 16. D.S. CHANDRASEKHARIAH, K.S. SRINATH, Axisymmetric thermoelastic interaction without energy dissipation in an unbounded body with cylindrical cavity, J. Elasticity, 46, 19-31, 1997.
  • 17. D.S. CHANDRASEKHARIAH, K.S. SRINATH, Thermo-elastic interactions without energy dissipation due to a point heat source, J. Elasticity, 50, 97-108, 1998.
  • 18. D.S. CHANDRASEKHARIAH, K.S. SRINATH, Thermoelastic plane waves without energy dissipation in a rotating body, Mech. Res. Com., 24, 551—560, 1997.
  • 19. W. NOWACKI, On magneto-elasticity, H. PARKUS [Ed.], Electromagnetic interactions in elastic solids, Springer-Verlag, 158-183, New York 1979.
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  • 21. P. CHADWICK, Thermo-elasticity, the dynamical theory, Vol. I. I.N. SNEDDON and R. HILL [Ed.], Progress in Solid Mechanics, 265-328, North Holland 1960.
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  • 23. S. KALISKI, The propagation of elasto-plastic waves in a half-space in a magnetic field for a perfect conductor, Problems of Continuum Mechanics Society for Industrial and Applied Mathematics Philadelphia, 229-245, 1961.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0010-0047
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