 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| A. Akshaya, S. Kumar, and K. Hemalatha, "Transference of SH-Waves in Two Different Functionally Graded Half-Spaces," Mech. Solids. 58 (9), 3177-3198 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
9 |
Pages |
3177-3198 |
| DOI |
10.3103/S0025654423601702 |
| Title |
Transference of SH-Waves in Two Different Functionally Graded Half-Spaces |
| Author(s) |
A. Akshaya (Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, 603203 India, aa0476@srmist.edu.in)
S. Kumar (Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, 603203 India, santoshh@srmist.edu.in)
K. Hemalatha (Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, 603203 India, hk8052@srmist.edu.in) |
| Abstract |
A brief analysis of the transference of SH-wave has been carried out in two different functionally graded half-spaces bonded imperfectly. The upper half-space is functionally graded magneto-electro-elastic material whereas the lower half-space is functionally graded piezoelectric material and both materials are graded linearly. To obtain the solution in both half-space, the partial differential equation is transformed into an ordinary differential equation using the variable-separable method, and WKB approximation has been employed to derive displacement relations. Reflection and transmission coefficients, representing ratios of wave amplitudes, are derived for an imperfect boundary. Numerical analysis focuses on a specific model and the graphical interpretation of results is facilitated using Mathematica-7. |
| Keywords |
transverse wave, functionally graded material, gradedness parameter, Wentzel–Kramers–Brillouin asymptotic approach, reflection and transmission coefficients |
| Received |
02 September 2023 | Revised |
07 November 2023 | Accepted |
08 November 2023 |
| Link to Fulltext |
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