Generalized thermoelastic waves in transversely isotropic media.

*(English)*Zbl 0574.73026In this paper the propagation of generalized thermoelastic waves in transversely isotropic media has been investigated. The basic equations have been solved by a general method after decoupling the SH wave, which is not affected by thermal variations and is independent of the rest of the motion. The discussion of the frequency equation reveals that in general there are three distinct waves in transversely isotropic media. The particle paths during the motion are found to be elliptic. The inclinations of the major axes with wave normal and the eccentricities of elliptical paths have been determined. The results have been verified numerically and are represented graphically for a single crystal of zinc in the case of waves of assigned frequency.

##### MSC:

74J10 | Bulk waves in solid mechanics |

74F05 | Thermal effects in solid mechanics |

74E10 | Anisotropy in solid mechanics |

35K05 | Heat equation |

35L05 | Wave equation |