 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 58, Issue 2 / 2023 | Next article >> |
| H. Liang, M. Lan, and J. Zhang, "Influences of Relaxation Times and Interface Effect on the Reflection and Transmission of Thermoelastic Waves under the MGL Model," Mech. Solids. 58 (2), 572-585 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
2 |
Pages |
572-585 |
| DOI |
10.3103/S0025654422601203 |
| Title |
Influences of Relaxation Times and Interface Effect on the Reflection and Transmission of Thermoelastic Waves under the MGL Model |
| Author(s) |
H. Liang (School of intelligent manufacturing, Luoyang Institute of Science and Technology, Luoyang, 471023 China)
M. Lan (Department of Mathematics and Science, Luoyang Institute of Science and Technology, Luoyang, 471023 China, lanmanly@lit.edu.cn)
J. Zhang (Department of Mathematics and Science, Luoyang Institute of Science and Technology, Luoyang, 471023 China) |
| Abstract |
The paper studies the effects of the relaxation times and the interface effect on the reflection and transmission natures of coupled thermoelastic waves at the imperfect interface between two elastic, isotropic, isothermal solid half-spaces based on the modified Green-Lindsay model. First, the basic dynamical equations of thermos-elasticity of Lord-Shulman theory, Green–Lindsay theory and modified Green-Lindsay model have been gathered. Then, the ratios of the amplitudes of the reflected and transmitted waves to the incident P-wave have been derived by introducing imperfect boundary conditions. Furthermore, it is obtained that the reflected and transmitted coefficients of thermal elastic waves. At last, the numerical calculations for the incident P-wave have been carried out, and all the numerical results are verified by the principle of energy conservation. It can be found that the first relaxation time has more influence on the bulk waves than the second one, and the difference between the second relaxation times in the upper and lower half-spaces makes the SV wave coupled with the coupled P- and thermal waves in the modified Green-Lindsay model. The increasing imperfection of the interface prevents the transmission of energy. The physical mechanism above is the basis of analyzing the propagation property of thermoelastic waves. |
| Keywords |
reflection and transmission, thermoelastic waves, modified Green-Lindsay model, interface effect, univariate controlling approach |
| Received |
14 September 2022 | Revised |
23 October 2022 | Accepted |
12 November 2022 |
| Link to Fulltext |
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