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Study Of Symmetrical And Anti-Symmetrical Edge Waves In Double Porosity Semi-Infinite Thin Plate – Plane Stress Problem

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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.

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Authors and Affiliations

  1. Department of Mathematics, Kakatiya Government College, Warangal, T.S., India

    D. Venkanna

  2. Department of Mathematics, Kakatiya University, Warangal, T.S., India

    P. Malla Reddy

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  1. D. Venkanna
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  2. P. Malla Reddy
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Correspondence to D. Venkanna or P. Malla Reddy.

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Venkanna, D., Malla Reddy, P. Study Of Symmetrical And Anti-Symmetrical Edge Waves In Double Porosity Semi-Infinite Thin Plate – Plane Stress Problem. Mech. Solids 57, 629–643 (2022). https://doi.org/10.3103/S0025654422030219

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