 | | 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: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| Maaz Ali Khan, M.A. Aljohani, Adnan Jahangir, Usman Riaz, Emad E. Mahmoud, Raheem Gul, and Afzal Rahman, "Propagation of Plane Thermoelastic Waves in a Half-Space with Variable Thermal Conductivity and Micro-Temperatures," Mech. Solids. 60 (8), 7337-7357 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7337-7357 |
| DOI |
10.1134/S0025654425606949 |
| Title |
Propagation of Plane Thermoelastic Waves in a Half-Space with Variable Thermal Conductivity and Micro-Temperatures |
| Author(s) |
Maaz Ali Khan (Department of Mathematics, University of Buner, Khyber Pakhtunkhwa, Pakistan; Department of Physical and Numerical Sciences Qurtaba University of Science and Information Technology, Peshawar, Pakistan, maazali977@gmail.com)
M.A. Aljohani (Department of Mathematics and Statistics, College of Science in Yanbu, Taibah University, Yanbu Governorate, Saudi Arabia)
Adnan Jahangir (Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah, 47040 Pakistan)
Usman Riaz (Department of Mathematics, University of Buner, Khyber Pakhtunkhwa, Pakistan)
Emad E. Mahmoud (Department of Mathematics and Statistics, Collage of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia)
Raheem Gul (Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah, 47040 Pakistan)
Afzal Rahman (Department of Mathematics, University of Buner, Khyber Pakhtunkhwa, Pakistan) |
| Abstract |
While previous studies have examined individual aspects of generalized thermoelasticity, the coupled effects of dual-phase-lag (DPL) heat conduction, micro-temperature, and temperature-dependent thermal conductivity remain unexplored. This work presents the first unified model incorporating all three phenomena to analyze plane wave propagation in a thermoelastic half-space under thermal shock. An analytical solution is developed using normal mode analysis. Numerical simulations for magnesium crystal reveal that: (1) the variable thermal conductivity parameter K dominates wave attenuation, with increasing |K| causing significantly faster amplitude decay; (2) the wave number a amplifies displacement and micro-temperature components while attenuating stresses. These findings offer new insights into energy partitioning and provide design criteria for thermal management where existing models are inadequate. |
| Keywords |
Thermoelasticity, Dual-phase-lag, Variable thermal conductivity, Micro-temperature, Wave propagation, Normal mode analysis |
| Received |
27 November 2025 | Revised |
21 December 2025 | Accepted |
26 December 2025 |
| Link to Fulltext |
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