 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12788 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8028
|
| In English (Mech. Solids): | | 4760 |
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| Nantu Sarkar and Mitali Bachher, "Thermo-Mechanical Interactions in a Three-Dimensional Nonlocal Elastic Medium with Thermal Relaxation," Mech. Solids. 59 (2), 1021-1035 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
2 |
Pages |
1021-1035 |
| DOI |
10.1134/S0025654424602775 |
| Title |
Thermo-Mechanical Interactions in a Three-Dimensional Nonlocal Elastic Medium with Thermal Relaxation |
| Author(s) |
Nantu Sarkar (Department of Applied Mathematics, University of Calcutta, Kolkata, 700009 India, nsarkarindian@gmail.com)
Mitali Bachher (Department of Mathematics, Dinabandhu Mahavidyalaya, Bongaon, West Bengal, India, mitali.ju08@gmail.com) |
| Abstract |
A unique three-dimensional model of generalized thermoelasticity, incorporating a single relaxation time and relying on stress gradient nonlocal elasticity, is presented in this study. The fundamental coupled equations governing the model are applied to a semi-infinite spatial medium with a rigidly fixed bounding surface, which is exposed to a time-dependent thermal shock. The general solution for the field variables is obtained in a closed form through the utilization of normal mode analysis and the eigenvalue approach technique. Numerical results, specific to a substance resembling copper, are provided for the field variables. Parametric studies are conducted to assess the impact of elastic nonlocality on various physical quantities. The graphical representation reveals a noteworthy influence of the nonlocal parameter on the field variables. The study further discusses and compares predictions from the new model with the Lord and Shulman theory of generalized thermoelasticity. Ultimately, the article concludes with a summary of key remarks. |
| Keywords |
elastic, nonlocal, thermal, Lord and Shulman, normal mode, eigenvalue |
| Received |
19 February 2024 | Revised |
10 April 2024 | Accepted |
11 April 2024 |
| Link to Fulltext |
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