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Structural Engineering and Mechanics Volume 80, Number 3, November10 2021 , pages 265-274 DOI: https://doi.org/10.12989/sem.2021.80.3.265 |
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Rayleigh waves in porous orthotropic medium with phase lags |
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Siddhartha Biswas
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| Abstract | ||
| The present article deals with the propagation of Rayleigh surface waves in homogeneous orthotropic medium. This thermoelastic problem is studied under the purview of three-phase-lag model of hyperbolic thermoelasticity in the presence of voids. The normal mode analysis is employed to obtain a vector matrix differential equation which is then solved by eigenvalue approach. The frequency equations for different cases are derived. In order to illustrate the analytical developments, the numerical solution is carried out and the computer simulated results in respect of phase velocity and attenuation coefficient are presented graphically. Phase velocity and attenuation coefficient decreases in the presence of voids. The present problem is the most general one as other problems can be obtained as special cases from it. | ||
| Key Words | ||
| eigenvalue approach; orthotropic medium; Rayleigh wave; three-phase-lag model; voids | ||
| Address | ||
| Siddhartha Biswas: Department of Mathematics, University of North Bengal, Darjeeling, India | ||