 | | 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
|
| In English (Mech. Solids): | | 5430 |
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| << Previous article | Volume 60, Issue 8 / 2025 | Next article >> |
| Indu Bala, Sachin Kaushal, Sunit Kumar, and Saurav Sharma, "Thermoelastic Response of a Half-Space under Time-Harmonic Mechanical Loading in Moore-Gibson-Thompson Theory with Non-Local and Hyperbolic Two-Temperature Effects," Mech. Solids. 60 (8), 7282-7294 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7282-7294 |
| DOI |
10.1134/S0025654425606305 |
| Title |
Thermoelastic Response of a Half-Space under Time-Harmonic Mechanical Loading in Moore-Gibson-Thompson Theory with Non-Local and Hyperbolic Two-Temperature Effects |
| Author(s) |
Indu Bala (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara, 144411 India)
Sachin Kaushal (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara, 144411 India, sachin_kuk@yahoo.co.in)
Sunit Kumar (Department of Mathematics, Chandigarh University, Gharuan, Mohali, Punjab, India)
Saurav Sharma (University of Houston, Houston, Texas, 77054 USA) |
| Abstract |
The present study investigates the influence of non-local and hyperbolic two-temperature
(HTT) parameter on a Moore-Gibson-Thompson (MGT) thermoelastic model, focusing on the
deformation behaviour under time-harmonic. The governing equations of the model are simplified to
two dimensions and solved using dimensionless quantities and a potential function approach. By using
the time-harmonic nature of the equations and applying Fourier transform, analytical expressions for
the components of displacement, stress fields, conductive temperature and thermodynamic temperature are derived. To demonstrate the practical applicability of the model, uniformly distributed force
(UDF) and linearly distributed force (LDF) are considered. The study graphically illustrates the
effects of non-local parameters, angular frequency, and the HTT parameter on stresses, conductive
temperature and thermodynamic temperature. These results provide valuable insights into how these
factors influence the thermoelastic behaviour of materials under dynamic loading conditions. The
findings are particularly relevant for researchers in geophysics, material sciences, and engineering,
especially those working in the field related to material vibration and deformation. Some particular
cases from this study have also been deduced. |
| Keywords |
Moore-Gibson-Thompson, hyperbolic two-temperature, non-local, frequency domain, uniformly distributed, linearly distributed |
| Received |
26 October 2025 | Revised |
23 December 2025 | Accepted |
26 December 2025 |
| Link to Fulltext |
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