Analysis of Wave Motion Phenomenon Through a Homogeneous Isotropic Porous Elastic Plate

• Published in: Mechanics of solids Vol. 59; no. 2; pp. 1007 - 1020
• Main Authors: Abo-Dahab, S. M., Albalwi, M. Daher, Kumar, Rajneesh, Abd-Alla, A. M., Alharbi, F. M., Bayones, F. S.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.04.2024; Springer Nature B.V
• Subjects: Attenuation coefficients; Classical Mechanics; Compressibility; Elastic analysis; Elastic plates; Isotropic material; Lamb waves; Parameters; Phase velocity; Physics; Physics and Astronomy; Porosity; Porous materials; Propagation; Propagation modes; Propagation velocity; Stress propagation; Thin plates; Wave attenuation; Wave propagation; Waves; attenuation coefficient; Rayleigh–Lamb secular equation; pore pressure; phase velocity; incompressible porous medium
• ISSN: 0025-6544; 1934-7936
• DOI: 10.1134/S0025654424602763

The present investigation is focussed on waves propagation in an isotropic homogeneous, porous elastic plate subjected to conditions in context of stress free. The symmetric and skew-symmetric secular equations for wave mode propagation are deduced. The results of thin plate are also obtained. The determinant of secular equation of Rayleigh–Lamb, velocity of Rayleigh–Lamb phase, and attenuation coefficient are shown graphically for different various values of frequency, porosity parameter, compressibility constituents and thickness of the plate with wave number. A particular case is also deduced. Attenuation coefficient and phase velocity for Rayleigh–Lamb wave by computational simulations are calculated. In order to have a deeper understanding of Rayleigh–Lamb wave propagation, this inquiry looks beyond simple calculations and analyses particle motion. Additionally, research studies the effects of frequency factors and porosity on these wave phenomena. The findings of this work shed light on a number of unusual situations that greatly advance our knowledge of Rayleigh–Lamb wave propagation in this complex material system, especially when porosity is included. This study has been formulating a novel basic equations for an isotropic homogeneous porous elastic plate, highlighting the Rayleigh–Lamb waves significance and investigating the several parameters impact on the phenomenon.