 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| S. Pramanik, S. Saha, N. Pradhan, N. Haldar, S. Samal, and S. Suman, "Analytical Study of Torsional Wave Behavior in Graded Poroelastic Layer Bonded to Viscoelastic Foundation," Mech. Solids. 60 (5), 4191-4204 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
4191-4204 |
| DOI |
10.1134/S0025654425603295 |
| Title |
Analytical Study of Torsional Wave Behavior in Graded Poroelastic Layer Bonded to Viscoelastic Foundation |
| Author(s) |
S. Pramanik (Department of Mathematics Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Amaravati, Andhra Pradesh, 522503 India, snehamoy.pramanik@gmail.com)
S. Saha (Department of Mathematics School of Applied Sciences, Kalinga Institute of Industrial Technology Bhubaneswar, 751024 India; Department of Aerospace Engineering Indian Institute of Science, Bangalore, 560012 India, shalinisaha.ism@gmail.com)
N. Pradhan (Department of Mathematics, School of Computer Sciences and Artificial Intelligence, SR University, Warangal, 506371 India, nirakara456@gmail.com)
N. Haldar (Department of Mathematics School of Applied Sciences, Kalinga Institute of Industrial Technology Bhubaneswar, 751024 India, haldarnisha15@gmail.com)
S. Samal (Department of Mathematics School of Applied Sciences, Kalinga Institute of Industrial Technology Bhubaneswar, 751024 India, sksamal@kiit.ac.in)
S. Suman (Department of Statistics, Patna University, Patna, 800005 India, surbhi.s200@gmail.com) |
| Abstract |
This study presents a theoretical investigation of torsional wave propagation in a graded,
fluid-saturated porous layer perfectly bonded to a Kelvin–Voigt viscoelastic half-space. The porous
layer exhibits anisotropic behavior with spatially varying rigidity and density, capturing material gradation effects. A complex dispersion relation governing wave propagation is derived using the method
of separation of variables, and the real and imaginary components are used to characterize phase
velocity and attenuation, respectively. The influence of porosity, gradation, and viscoelastic damping
on the dispersion characteristics is examined through numerical analysis. Results indicate that porosity enhances both phase and damping velocities due to fluid–solid coupling, while increasing material
gradation leads to stiffer response and stronger attenuation. The model reduces to classical cases under
specific parameter limits, providing a basis for validation and comparative assessment. The findings
contribute to a deeper understanding of wave dynamics in heterogeneous and dissipative media, with
implications for subsurface characterization, seismic analysis, and the design of functionally graded composites. |
| Keywords |
Torsional waves, Anisotropic, Porosity, Viscoelastic, Phase velocity, Damped velocity |
| Received |
19 June 2025 | Revised |
26 July 2025 | Accepted |
26 July 2025 |
| Link to Fulltext |
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