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The propagation of thermoelastic waves in different anisotropic media using matricant method. (English) Zbl 1503.74057

In this paper, an analytical study has been carried out by using the method of matricant to investigate the propagation of longitudinal elastic and one-dimensional heat waves in the anisotropic medium of monoclinic, trigonal, hexagonal, and cubical crystal systems. In this article, the solutions to the problem of the propagation of thermal waves and the propagation of a thermal wave along the z-axis have been obtained. The attenuation coefficient and phase velocity of thermal waves for various materials are determined. Generally, this work provides a feasible method to study the propagation of thermoelastic waves in anisotropic media.

MSC:

74J10 Bulk waves in solid mechanics
74E10 Anisotropy in solid mechanics
74F05 Thermal effects in solid mechanics
74E15 Crystalline structure

References:

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