 | | 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: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| Nihar Sarkar, "Transient Responses of a 3D Temperature Rate-Dependent Semi-Infinite Thermoelastic Medium with Variable Material Properties," Mech. Solids. 60 (1), 278-294 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
278-294 |
| DOI |
10.1134/S0025654424606207 |
| Title |
Transient Responses of a 3D Temperature Rate-Dependent Semi-Infinite Thermoelastic Medium with Variable Material Properties |
| Author(s) |
Nihar Sarkar (Department of Mathematics, City College, Kolkata, 700009 India, nihar.city@gmail.com) |
| Abstract |
This study investigates the temperature, displacement, and thermal stresses in a homoge-neous and isotropic three-dimensional thermoelastic half-space solid with varying material properties. Using the Green-Lindsay (G-L) theory of generalized thermoelasticity, the fundamental equations are derived, incorporating temperature-dependent material properties. The medium’s traction-
free boundary is subjected to a sudden thermal shock, a scenario frequently encountered in unconventional heat transfer processes. To address this problem, the normal mode analysis and eigenvalue
approach techniques are employed to solve the resulting non-dimensional coupled field equations.
Numerical results, presented graphically, illustrate the temperature, strain, displacement, and thermal
stresses using a suitable material model to elucidate the behavior of the system. A comparison is made
with results obtained under the assumption of temperature-independent mechanical properties. The
analysis demonstrates the significant impact of the temperature-dependent parameter on the profiles
of all physical fields, revealing that a slight increase in this parameter results in a notable decrease in
the magnitudes of all field variables. |
| Keywords |
Thermal, G-L model, Temperature-dependent properties, Normal mode, Eigenvalue |
| Received |
06 November 2024 | Revised |
09 January 2025 | Accepted |
09 January 2025 |
| Link to Fulltext |
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