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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-3pp.629-643

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D. Venkanna and P. Malla Reddy, "Study of Symmetrical and Anti-Symmetrical Edge Waves in Double Porosity Semi-Infinite Thin Plate - Plane Stress Problem," Mech. Solids. 57 (3), 629-643 (2022)
Year 2022 Volume 57 Number 3 Pages 629-643
DOI 10.3103/S0025654422030219
Title Study of Symmetrical and Anti-Symmetrical Edge Waves in Double Porosity Semi-Infinite Thin Plate - Plane Stress Problem
Author(s) D. Venkanna (Department of Mathematics, Kakatiya Government College, Warangal, T.S., India, dvenkanna74@yahoo.com)
P. Malla Reddy (Department of Mathematics, Kakatiya University, Warangal, T.S., India, mperati@kakatiya.ac.in)
Abstract This paper investigates the propagation of waves propagating near the edges of semi-infinite thin double porosity plate in the frame work of Biot's theory. The constitutive equations in the case of plane stress conditions are derived, and discussed. Frequency equations are derived for symmetric and anti-symmetric waves. It is obtained that the particle trajectory in the plane of plate is ellipse. Finally, the numerical results are computed for frequency against wavenumber, and then compared with that of the single porosity plate of the same material. It is seen that the phase velocity in the case of single porosity is higher than that of the double porosity.
Keywords double porous solids, edge waves, plane stress problem, frequency equation, phase velocity, wavenumber
Received 19 October 2021Revised 13 December 2021Accepted 20 December 2021
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