Mechanics of Solids (about journal) Mechanics of Solids
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IssuesArchive of Issues2023-9pp.3177-3198

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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 2023Revised 07 November 2023Accepted 08 November 2023
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