The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method
Ispulov N.A. Zhumabekov A.Z. Qadir A. Kurmanov A.A. Sarymova S.N. Dossumbekov K.R. Arinov E.
2022Hindawi Limited
Advances in Mathematical Physics
2022#2022
Thermoelasticity is a generalization of classical theories of elasticity and thermal conductivity and describes a wide range of phenomenon. The theory can precisely predict the propagation of thermoelastics waves in case of an isotropic medium. However, the propagation of thermoelastic waves in the anisotropic medium is not fully understood. In this case, the theory of elasticity employs an approximate theory of temperature stress which does not take into consideration the interactions of temperature and deformations. In this paper, an analytical study has been carried out by using method of matricant to investigate the propagation of longitudinal elastic and heat waves in the anisotropic medium of a monoclinic, trigonal, hexagonal, and cubical crystal systems. In this article, a solution to the problem of the propagation of thermal waves and the propagation of a thermal wave along z-axis has been obtained. The attenuation coefficient and phase velocity of thermal waves for various materials are determined. Specifically, the problem of propagation of heat waves in one dimension has been solved.
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Institute Physics, Department Of Mathematics And Instrumentation, Toraighyrov University, 64 Lomov St, Pavlodar, 140000, Kazakhstan
Sukkur Iba University, Sindh, Pakistan
O.A. Baikonyrov Zhezkazgan University, Kazakhstan
Institute Physics
Sukkur Iba University
O.A. Baikonyrov Zhezkazgan University
10 лет помогаем публиковать статьи Международный издатель
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