Modeling and Analysis of Rayleigh-Type Surface Waves in Elastic Solids with Double Porosity
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This investigation examines Rayleigh-type surface waves in an isotropic, homogeneous
elastic half-space possessing a dual-porosity structure. The surface is considered stress-free. From
the general analysis, the frequency equations for elastic media with single porosity are recovered as
a limiting case. Numerical solutions of the derived equations are obtained. Graphical representations
for copper material illustrate the dependence of Rayleigh wave speed and attenuation coefficient on
wave number.
1. Biot, M. A. Theory of three-dimensional consolidation. J. Appl. Phys. 12 (1941), 155–164.
2. Svanadze, M. Fundamental solution for consolidation with double porosity. J. Mech. Behav. Mater. 16
(2005), 123–130.
3. Svanadze, M. Viscoelasticity for materials with double porosity. Discrete Contin. Dyn. Syst. B 19 (2014),
no. 7, 2335–2352.
4. Svanadze, M. Uniqueness in thermoelasticity with double porosity. Meccanica 49 (2014), 2099–2108.
5. Kumar, R.; Kansal, T. Rayleigh waves in transversely isotropic thermoelastic diffusion. J. Eng. Phys.
Thermophys. 82 (2009), 1199–1210.
6. Kumar, R.; et al. Rayleigh waves in microstretch thermoelastic diffusion half-space. Latin American J.
Solids Struct. 11 (2014), 299–311.
7. Kumar, R.; Gupta, V. Rayleigh waves in thermoelastic medium with mass diffusion. Canad. J. Phys. 93
(2015), 1–11.
8. Abd-Alla, A. N.; Abo-Dahab, S. M. Rayleigh waves in magneto-thermo-viscoelastic solid. Appl. Math.
Comput. 149 (2004), 861–877.
tic Rayleigh waves in granular medium. J. Vib. Control 17
(2011), no. 1, 115–128.
10. Abd-Alla, A. M.; et al. Rayleigh waves in magneto-thermo-viscoelastic granular medium. Math. Probl.
Eng. 2011 (2011), Art. ID 1–47.
11. Abd-Alla, A. M.; et al. Rayleigh waves in rotating orthotropic half-space. J. Mech. Sci. Technol. 26 (2012),
no. 9, 2815–2823.
12. Abd-Alla, A. M.; et al. Propagation in magneto-thermo-elastic orthotropic half-space. J. Vib. Control 19
(2013), no. 9, 1395–1420.
13. Abd-Alla, A. M.; et al. Rotational effect on waves in fibre-reinforced viscoelastic media. J. Mech. Sci.
Technol. (2015), in press.
14. Iesan, D.; Quintanilla, R. Thermoelastic materials with double porosity. J. Therm. Stresses 37 (2014),
1017–1036.
15. Kholmurodov, A.; Matanov, M.; Quzratov, M. Propagation of harmonic plane waves in an elastic half-
space. AIP Conf. Proc. 3244 (2024), no. 1, Art. 040001.
16. Kholmurodov, A. E.; Matanov, M. C. Seismic excitation model of half-space propagation of Rayleigh
waves. Problems Comput. Appl. Math. 62 (2024), no. 6, 45–56 (in Russian).
17. Nagao, T. The impact of the ground irregular sedimentary structure on H/V spectrum of Rayleigh waves.
Eng. Technol. Appl. Sci. Res. 13 (2023), no. 4, 5785–5795.
18. Matanov, M. Development of synthetic accelerograms and baseline correction methods for deterministic
modeling of seismic wave propagation. Digital Transform. Artif. Intell. 3 (2025), no. 2, 100–108.
19. Charshamievich, M. M. Stability and accuracy of the hybrid method for dynamic half-space models under
sinusoidal impulsive surface loads. Int. Sci. J. 2 (2025), no. 1, 15–20 (in Russian).
20. Matanov, M. Harmonic fundamental solutions and boundary integral equations for wave propagation in
elastic, scalar and poroelastic media. Acta NUUz 2 (2025), no. 2.1, 80–87.
21. Kholmurodov, A. A comprehensive theoretical framework for surface wave propagation in layered liquid–
porous systems with incompressible saturated constituents. Int. J. Appl. Math. 38 (2025), no. 12s, 2388–
2402.
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