The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method
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...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/5787899 |
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| author | Nurlybek A. Ispulov Almar Zh. Zhumabekov Abdul Qadir Almas A. Kurmanov Sholpan N. Sarymova Kairat R. Dossumbekov Erkin Arinov |
| author_facet | Nurlybek A. Ispulov Almar Zh. Zhumabekov Abdul Qadir Almas A. Kurmanov Sholpan N. Sarymova Kairat R. Dossumbekov Erkin Arinov |
| author_sort | Nurlybek A. Ispulov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3ddaf3bb5b7d4f4abeb74687aed01925 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3ddaf3bb5b7d4f4abeb74687aed019252025-02-03T05:57:28ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/5787899The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant MethodNurlybek A. Ispulov0Almar Zh. Zhumabekov1Abdul Qadir2Almas A. Kurmanov3Sholpan N. Sarymova4Kairat R. Dossumbekov5Erkin Arinov6Institute PhysicsInstitute PhysicsSukkur IBA UniversityInstitute PhysicsInstitute PhysicsInstitute PhysicsO.A. Baikonyrov Zhezkazgan UniversityThermoelasticity 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.http://dx.doi.org/10.1155/2022/5787899 |
| spellingShingle | Nurlybek A. Ispulov Almar Zh. Zhumabekov Abdul Qadir Almas A. Kurmanov Sholpan N. Sarymova Kairat R. Dossumbekov Erkin Arinov The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method Advances in Mathematical Physics |
| title | The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method |
| title_full | The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method |
| title_fullStr | The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method |
| title_full_unstemmed | The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method |
| title_short | The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method |
| title_sort | propagation of thermoelastic waves in different anisotropic media using matricant method |
| url | http://dx.doi.org/10.1155/2022/5787899 |
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