| Issue |
Math. Model. Nat. Phenom.
Volume 17, 2022
|
|
|---|---|---|
| Article Number | 37 | |
| Number of page(s) | 18 | |
| DOI | https://doi.org/10.1051/mmnp/2022025 | |
| Published online | 02 September 2022 | |
The Effect of Composite Material on Rayleigh Wave at Free Surface of Composite Matrix Saturated by Fluids
1
Department of Mathematical Sciences, IKG Punjab Technical University, Kapurthala 144 603, Punjab, India
2
Department of Mathematics, DAV Institute of Engineering and Technology, Jalandhar 144 008, India
* Corresponding author: dr.ashish10@hotmail.com
Received:
15
October
2021
Accepted:
6
June
2022
The present study signifies the effect of distinct solids on the phase speed and attenuation of Rayleigh surface wave propagating on the boundary of composite porous matrix saturated with fluids. Secular equation depicting propagation of Rayleigh wave is obtained and solved numerically for obtaining phase speed and attenuation coefficient. Two different types of composite materials are considered for numerical study to analyze the effect of solids present in the structure. The study depicts that increase in rigidity of the composite increases the phase speed of the Rayleigh surface wave. Significant effect of the density and bulk modulus of fluid mixture present in the pores is also observed on the phase speed of the wave. The effect of porosity on the phase speed of the Rayleigh wave and the particle motion during the propagation of the wave is also analyzed.
Mathematics Subject Classification: 74F10 / 74J15 / 86A15
Key words: Composite porous medium / Rayleigh wave / Distinct solids / Phase speed / Attenuation / Porosity
© The authors. Published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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