Generalized thermoelastic waves in transversely isotropic media. (English) Zbl 0574.73026

Singh, Harinder; Sharma, Jagan Nath

J. Acoust. Soc. Am. 77, 1046-1053 (1985).

In 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

Keywords:

quasilongitudinal; quasitransverse; thermal wave; plane harmonic waves; infinitely extended homogeneous medium; generalized thermoelastic waves; transversely isotropic media; general method; decoupling the SH wave; not affected by thermal variations; independent of the rest of the motion; frequency equation; three distinct waves; particle paths; elliptic; inclinations of the major axes with wave normal; eccentricities of elliptical paths; verified numerically; single crystal of zinc; waves of assigned frequency