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Structural Engineering and Mechanics Volume 74, Number 1, April10 2020 , pages 91-104 DOI: https://doi.org/10.12989/sem.2020.74.1.091 |
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Comparative study of torsional wave profiles through stratified media with fluted boundaries |
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Manisha Maity, Santimoy Kundu, Alka Kumari and Shishir Gupta
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| Abstract | ||
| A mathematical analysis has been carried out for understanding the traversal attributes of torsional waves in a Voigt-type viscoelastic porous layer bounded with corrugated surfaces resting over a heterogeneous transversely isotropic gravitating semi-infinite medium. Both the media are assumed to be under the effect of initial stresses acting along horizontal directions. In the presumed geometry, continuous and periodic type of corrugation has been considered. The condensed form of dispersion relation has been obtained analytically with the aid of the Whittaker's function and suitable boundary conditions. The influence of viscoelasticity, porosity, initial stresses, heterogeneity, gravity, undulation and position parameters on the phase and damped velocities has been illustrated graphically. In addition, relative examination investigating the impact of corrugated and planar bounded surfaces on the dispersion and damping characteristics is one of the important highlights of this study. | ||
| Key Words | ||
| torsional waves; Voigt-type viscoelastic; porous; Whittaker's function; corrugation; phase velocity; damped velocity | ||
| Address | ||
| Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines) Dhanbad, India | ||