The governing equations for a transversely isotropic rotating magnetothermoelastic medium are solved, giving a cubic velocity equation, which is indicative of three plane waves. Some limiting cases are considered: in the absence of anisotropy, rotation, and thermal and magnetic effects. The effects of the anisotropy, rotation, thermal and magnetic parameters on the speeds of plane waves are shown graphically.
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References
M. Schoenberg and D. Censor, Elastic waves in rotating media. Quart. Appl. Math., 31, 115–125 (1973).
P. Chadwick, Wave propagation in transversely isotropic elastic media. I. Homogeneous plane waves, Proc. R. Soc. Lond, A422, 23–66 (1989).
P. Chadwick, Wave propagation in transversely isotropic elastic media. II. Surface waves, Proc. R. Soc. London, A422, 67–101 (1989).
P. Chadwick, Wave propagation in transversely isotropic elastic media. III. Proc. R. Soc. London, A422, 103–121 (1989).
P. Chadwick, Wave propagation in incompressible transversely isotropic elastic media. I. Homogeneous plane waves, Proc. R. Ir. Acad., 93A, 231–253 (1993).
P. Chadwick, Wave propagation in incompressible transversely isotropic elastic media. II. Inhomogeneous plane waves, Proc. R. Ir. Acad., 94A, 85–104 (1994).
P. Chadwick and L. T. C. Sect, Wave propagation in a transversely isotropic heat conducting elastic material, Mathematica, 17, 255–274 (1970).
E. Dieulesaint and D. Royer, Elastic Waves in Solids, John Wiley and Sons, Ltd., New York (1980).
D. S. Chandrasekharaiah and K. R. Srikantiah, Thermoelastic plane waves in a rotating solid, Acta Mech., 50, 211–219 (1984).
D. S. Chandrasekharaiah and K. R. Srikantiah, Thermoelastic plane waves without energy dissipation in a rotating body, Mech. Res. Commun., 24, 551–560 (1984).
F. Ahmad and A. Khan, Thermoelastic plane waves in rotating isotropic medium, Acta Mech., 136, 243–247 (1999).
G. Paria, On magneto-thermoelastic plane waves, Proc. Camb. Philos. Soc., 58, 527–531 (1962).
S. K. Roy Chaudhuri and L. Debnath, Magneto-thermoelastic plane waves in rotating media, Int. J. Eng. Sci., 21, 155–163 (1983).
A. J. Willson, The propagation of magneto-thermoelastic plane waves, Proc. Camb. Philos. Soc., 59, 483–488 (1963).
V. K. Agarwal, On electro-magneto-thermoelastic plane waves, Acta Mech., 34, 181–191 (1979).
C. M. Purushothama, Magneto-thermoelastic plane waves, Proc. Camb. Philos. Soc., 61, 939–944 (1965).
H. W. Lord and Y. Shulman, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299–309 (1967).
S. K. Roychoudhuri and S. Banerjee, Magneto-thermoelastic interactions in an infinite viscoelastic cylinder of temperature-rate-dependent material subjected to a periodic loading, Int. J. Eng. Sci., 36, 635–643 (1998).
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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 5, pp. 1126–1131, September–October, 2012.
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Singh, B., Yadav, A.K. Plane waves in a transversely isotropic rotating magnetothermoelastic medium. J Eng Phys Thermophy 85, 1226–1232 (2012). https://doi.org/10.1007/s10891-012-0765-z
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DOI: https://doi.org/10.1007/s10891-012-0765-z