 | | 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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| S. Malik, D. Gupta, K. Kumar, R.K. Sharma, and P. Jain, "Reflection and Transmission of Plane Waves in Nonlocal Generalized Thermoelastic Solid with Diffusion," Mech. Solids. 58 (1), 161-188 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
1 |
Pages |
161-188 |
| DOI |
10.3103/S002565442260088X |
| Title |
Reflection and Transmission of Plane Waves in Nonlocal Generalized Thermoelastic Solid with Diffusion |
| Author(s) |
S. Malik (Department of Mathematics, Baba Mastnath University, Rohtak, Haryana, 124021 India)
D. Gupta (Department of Mathematics, Baba Mastnath University, Rohtak, Haryana, 124021 India; Department of Mathematics, Hindu Girls College, Sonepat, Haryana, 131001 India)
K. Kumar (Department of Mathematics, Hindu College, Sonepat, Haryana, 131001 India, dahiya.krishan@gmail.com)
R.K. Sharma (Department of Mathematics, Hindu College, Sonepat, Haryana, 131001 India)
P. Jain (Department of Mathematics, Hindu Girls College, Sonepat, Haryana, 131001 India) |
| Abstract |
This paper is concerned with the wave propagation at the interface of two distinct nonlocal generalized thermoelastic solids with diffusion. After formulating the mathematical problem, effect of thermoelastic media on wave propagation is demonstrated. Plane wave analysis shows the existence of three coupled waves, namely, P-wave, T-wave, MD-wave and one transverse wave SV-wave. The reflection and transmission phenomenon for the incidence of P-wave, T-wave, MD-wave and SVwave at the interface of two distinct media have been investigated. The expressions for amplitude ratios of reflected and transmitted P-wave, T-wave, MD-wave, SV-wave are derived. MATLAB software is used to evaluate amplitude ratios of various reflected and transmitted waves. The effect of frequency and nonlocal parameter on amplitude ratios against angle of incidence of incident waves are shown graphically. It is observed that amplitude ratios of various reflected and transmitted waves are function of angle of incidence of incident waves and are greatly affected by nonlocal parameter of thermoelastic solid and frequency of incident waves. The results obtained from the graphs of this model are very useful for scientists working in geophysics and various fields of mechanics like seismic effects, mining, blasting, scanning acoustic microscopy, terminal ballistics, ultrashot lasers, thermoelastic properties of nanomaterials etc. |
| Keywords |
amplitude ratios, frequency, incident waves, wave number |
| Received |
13 July 2022 | Revised |
08 November 2022 | Accepted |
09 November 2022 |
| Link to Fulltext |
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