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Effect of rotation and relaxation times on plane waves in generalised thermo-elasticity

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Abstract

The propagation of harmonically time-dependent thermo-elastic plane waves of assigned frequency in infinite rotating media is studied using the theory of thermo-elasticity recently proposed by Green and Lindsay. A more general dispersion equation is deduced to determine the effect of rotation and relaxation times on the phase velocity of the coupled waves. The solutions for the phase velocity and the attenuation coefficient are obtained for small thermo-elastic coupling by a perturbation technique. Cases of low and high frequencies are also studied to determine the effect of rotation, the relaxation parameters and thermo-elastic coupling on the phase velocity and the attenuation coefficient of the waves.

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Authors and Affiliations

  1. Department of Mathematics, Burdwan University, Burdwan, West Bengal, India

    S. K. Roy Choudhuri

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  1. S. K. Roy Choudhuri
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Roy Choudhuri, S.K. Effect of rotation and relaxation times on plane waves in generalised thermo-elasticity. J Elasticity 15, 59–68 (1985). https://doi.org/10.1007/BF00041305

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  • DOI: https://doi.org/10.1007/BF00041305

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