 | | 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: | | 13554 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8194
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| In English (Mech. Solids): | | 5360 |
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| Sonia Bajaj and A.K. Shrivastav, "Effect of Variable Thermal Conductivity and Nonlocality in Pre-Stressed Thermoelastic Medium," Mech. Solids. 60 (7), 5961-5978 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
7 |
Pages |
5961-5978 |
| DOI |
10.1134/S0025654425602599 |
| Title |
Effect of Variable Thermal Conductivity and Nonlocality in Pre-Stressed Thermoelastic Medium |
| Author(s) |
Sonia Bajaj (Department of Mathematics, Chandigarh University, Mohali, India; Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to be University) Mullana, Ambala, Haryana, India, bajajsonia1501@gmail.com)
A.K. Shrivastav (Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to be University) Mullana, Ambala, Haryana, India, aakkaasshhkumar8888@gmail.com) |
| Abstract |
The study investigates the influence of temperature-dependent heat conduction, along with
the effects of nonlocality and initial stress, on the nonlinear propagation of plane waves in a transversely isotropic thermoelastic half-space. It aims to understand how variations in thermal conductivity with temperature, combined with nonlocal elastic interactions and pre-existing stress fields, affect
wave characteristics and the generation of second harmonic components under generalized thermoelastic conditions. The heat conduction coefficient generally varies with temperature, which plays a
crucial role in analyzing the interaction between thermal and mechanical effects in thermoelastic and
piezo-thermoelastic materials. This temperature dependence becomes essential to consider, especially
at elevated temperatures and in nanostructured materials, where properties like thermal conductivity
can no longer be treated as fixed values. In this scenario, a thermoelastic medium is subjected to normal mechanical load applied to its free surface. The plane wave solution is considered as the Poincare
expansion in terms of small parameters within in the initial two orders of approximation. The law of
heat flux in governing equations introduces the nonlinearity concept in terms of temperature.
To determine the temperature distribution, as well as the stress and displacement components, the
normal mode analysis approach is employed. The effect of variable thermal conductivity is evaluated
analytically on the physical properties. Additionally, the influence of temperature dependency, nonlocality, and initial hydrostatic stress on these parameters is explored. These effects are further illustrated using graphical representations, with numerical calculations carried out through MATLAB-based algorithms. |
| Keywords |
nonlocal, thermal conductivity, hydrostatic initial stress, normal mode analysis |
| Received |
21 May 2025 | Revised |
07 September 2025 | Accepted |
03 November 2025 |
| Link to Fulltext |
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