 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| Saurav Sharma, Divya Batra, and Rajneesh Kumar, "Thermomechanical Interactions in a Rotating Non-Local Functionally Gradient Orthotropic Elastic Half-Space Along-with Three Phase Lag and Hyperbolic Two-Temperature," Mech. Solids. 60 (5), 3900-3914 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3900-3914 |
| DOI |
10.1134/S002565442560223X |
| Title |
Thermomechanical Interactions in a Rotating Non-Local Functionally Gradient Orthotropic Elastic Half-Space Along-with Three Phase Lag and Hyperbolic Two-Temperature |
| Author(s) |
Saurav Sharma (Department of Industrial Engineering, Houston University, Houston, USA, sauravkuk@gmail.com)
Divya Batra (Department of Mathematics, Kishan Lal Public College, Rewari, 123401 India, divyabatra1982@gmail.com)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, 136119 India, rajneesh_kuk@rediffmail.com) |
| Abstract |
The present paper aims to study the reflection phenomena of plane waves in a rotating, non-local, functionally graded orthotropic thermoelastic half-space with a three-phase lag. Normal mode
analysis is used to obtain the solution and the boundary is assumed to be stress-free having the influence of the impedance parameter. The analytical solution to the problem reveals the existence of a
quasi longitudinal wave (QL), quasi transversal wave (QT), and a quasi thermal wave (T). Amplitude
ratios are derived corresponding to the incidence of each wave. With the help of these amplitude ratios,
energy ratios are obtained and presented graphically demonstrating the impact of the functionally
graded parameter (FG) and various heat conduction models. The energy ratios depend on the angle
of incidence as well as the properties of the medium. The nature of dependence is distinct for distinct
reflected waves. The obtained results justify that the summation of energy ratios is unity at each angle
of incidence, which thus proves the law of conservation of energy. Moreover, comparative analysis has
also been performed with dual phase lag model (DPL) and Lord Shulman model (LS). The results
obtained through the investigation are useful to study the rock structure and thermoelastic properties
of the inner structure of the earth. |
| Keywords |
Functional gradient, orthotropic, rotation, non-local, reflection, amplitude ratios |
| Received |
02 May 2025 | Revised |
04 July 2025 | Accepted |
06 July 2025 |
| Link to Fulltext |
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