The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals
The investigation of thermoelastic wave propagation in elastic media is bound to have much influence in the fields of material science, geophysics, seismology, and so on. The heat conduction equations and bound equations of motions differ by the difficulty level and presence of many physical and mec...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/5236898 |
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| author | Nurlybek A. Ispulov Abdul Qadir Marat K. Zhukenov Talgat S. Dossanov Tanat G. Kissikov |
| author_facet | Nurlybek A. Ispulov Abdul Qadir Marat K. Zhukenov Talgat S. Dossanov Tanat G. Kissikov |
| author_sort | Nurlybek A. Ispulov |
| collection | DOAJ |
| description | The investigation of thermoelastic wave propagation in elastic media is bound to have much influence in the fields of material science, geophysics, seismology, and so on. The heat conduction equations and bound equations of motions differ by the difficulty level and presence of many physical and mechanical parameters in them. Therefore thermoelasticity is being extensively studied and developed. In this paper by using analytical matrizant method set of equation of motions in elastic media are reduced to equivalent set of first-order differential equations. Moreover, for given set of equations, the structure of fundamental solutions for the general case has been derived and also dispersion relations are obtained. |
| format | Article |
| id | doaj-art-4f63d06fb77f4ccab8867a7d1d5de137 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4f63d06fb77f4ccab8867a7d1d5de1372025-02-03T06:46:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/52368985236898The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of CrystalsNurlybek A. Ispulov0Abdul Qadir1Marat K. Zhukenov2Talgat S. Dossanov3Tanat G. Kissikov4S. Toraighyrov Pavlodar State University, Pavlodar 140008, KazakhstanSukkur Institute of Business Administration, Sindh, PakistanS. Toraighyrov Pavlodar State University, Pavlodar 140008, KazakhstanS. Toraighyrov Pavlodar State University, Pavlodar 140008, KazakhstanUniversity of California, Davis, CA 95616, USAThe investigation of thermoelastic wave propagation in elastic media is bound to have much influence in the fields of material science, geophysics, seismology, and so on. The heat conduction equations and bound equations of motions differ by the difficulty level and presence of many physical and mechanical parameters in them. Therefore thermoelasticity is being extensively studied and developed. In this paper by using analytical matrizant method set of equation of motions in elastic media are reduced to equivalent set of first-order differential equations. Moreover, for given set of equations, the structure of fundamental solutions for the general case has been derived and also dispersion relations are obtained.http://dx.doi.org/10.1155/2017/5236898 |
| spellingShingle | Nurlybek A. Ispulov Abdul Qadir Marat K. Zhukenov Talgat S. Dossanov Tanat G. Kissikov The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals Advances in Mathematical Physics |
| title | The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals |
| title_full | The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals |
| title_fullStr | The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals |
| title_full_unstemmed | The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals |
| title_short | The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals |
| title_sort | analytical form of the dispersion equation of elastic waves in periodically inhomogeneous medium of different classes of crystals |
| url | http://dx.doi.org/10.1155/2017/5236898 |
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