 | | 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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| Nihar Sarkar, "Small-Scale Effects on the Reflection of Thermoelastic Plane Waves in an Elastic Solid with Variable Moduli," Mech. Solids. 60 (5), 3915-3930 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3915-3930 |
| DOI |
10.1134/S0025654425602502 |
| Title |
Small-Scale Effects on the Reflection of Thermoelastic Plane Waves in an Elastic Solid with Variable Moduli |
| Author(s) |
Nihar Sarkar (Department of Mathematics, City College, Kolkata, 700009 India, nihar.city@gmail.com) |
| Abstract |
This study investigates the reflection and propagation of thermoelastic plane waves in a
nonlocal elastic solid with temperature-dependent material properties, using the Lord-Shulman thermoelasticity model and Eringen’s nonlocal elasticity theory. Three wave modes are identified: two
coupled longitudinal waves and one shear wave, all of which exhibit dispersion and attenuation due to
elastic nonlocality. The shear wave experiences a critical frequency, while the longitudinal waves face
conditional critical frequencies. Reflection at a stress-free thermally insulated boundary is analyzed,
and amplitude ratios of reflected waves are derived. Numerical results for copper-like materials reveal
that nonlocality significantly influences all wave modes, while thermal effects impact only the longitudinal waves. Additionally, nonlocality reduces the shear wave speed compared to classical theory.
Additionally, nonlocality reduces the shear wave speed compared to classical theory. The novelty of
this work lies in the combined consideration of nonlocal elasticity, temperature-dependent moduli,
and Lord-Shulman thermoelasticity, which has not been previously studied for reflection of thermo-elastic waves at thermally insulated/isothermal boundaries. This approach provides a more accurate
representation of wave behavior in microscale thermoelastic media with varying thermal environments. |
| Keywords |
Nonlocal, L-S model, Variable modulli, Dispersion, Reflection, Amplitude ratios |
| Received |
17 May 2025 | Revised |
26 June 2025 | Accepted |
26 June 2025 |
| Link to Fulltext |
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