A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids
The present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass diffusion and voids is derived first. On the basi...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2020-11-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/A-General-Study-of-Fundamental-Solutions-in-Aniotropicthermoelastic-Media-with-Mass,166812,0,2.html |
| _version_ | 1797750496167985152 |
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| author | Vijay Chawla Deepmala Kamboj |
| author_facet | Vijay Chawla Deepmala Kamboj |
| author_sort | Vijay Chawla |
| collection | DOAJ |
| description | The present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass diffusion and voids is derived first. On the basis of the obtained general solution, the fundamental solution for a steady point heat source on the surface of a semi-infinite transversely isotropic thermoelastic material with mass diffusion and voids is derived by nine newly introduced harmonic functions. The components of displacement, stress, temperature distribution, mass concentration and voids are expressed in terms of elementary functions and are convenient to use. From the present investigation, some special cases of interest are also deduced and compared with the previous results obtained, which prove the correctness of the present result. |
| first_indexed | 2024-03-12T16:33:33Z |
| format | Article |
| id | doaj.art-837bfd6a7f9248738ea17541a097272f |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:33:33Z |
| publishDate | 2020-11-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-837bfd6a7f9248738ea17541a097272f2023-08-08T15:03:06ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032020-11-01254224110.2478/ijame-2020-0047166812A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and VoidsVijay Chawla0Deepmala Kamboj1Department of Mathematics, Maharaja Agrasen Mahavidyalya, Jagadhri-135003, Haryana, IndiaDepartment of Mathematics, Mukand Lal National College, Yamuna Nagar-135001, Haryana, IndiaThe present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass diffusion and voids is derived first. On the basis of the obtained general solution, the fundamental solution for a steady point heat source on the surface of a semi-infinite transversely isotropic thermoelastic material with mass diffusion and voids is derived by nine newly introduced harmonic functions. The components of displacement, stress, temperature distribution, mass concentration and voids are expressed in terms of elementary functions and are convenient to use. From the present investigation, some special cases of interest are also deduced and compared with the previous results obtained, which prove the correctness of the present result.https://www.ijame-poland.com/A-General-Study-of-Fundamental-Solutions-in-Aniotropicthermoelastic-Media-with-Mass,166812,0,2.htmlgeneral solutionfundamental solutionthermoelasticvoidsmass diffusion |
| spellingShingle | Vijay Chawla Deepmala Kamboj A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids International Journal of Applied Mechanics and Engineering general solution fundamental solution thermoelastic voids mass diffusion |
| title | A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids |
| title_full | A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids |
| title_fullStr | A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids |
| title_full_unstemmed | A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids |
| title_short | A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids |
| title_sort | general study of fundamental solutions in aniotropicthermoelastic media with mass diffusion and voids |
| topic | general solution fundamental solution thermoelastic voids mass diffusion |
| url | https://www.ijame-poland.com/A-General-Study-of-Fundamental-Solutions-in-Aniotropicthermoelastic-Media-with-Mass,166812,0,2.html |
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