1. Elastodynamic Response of Torsional Waves in Sinusoidal Conical Notch (SCN).
- Author
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Kumawat, Sunita, Vishwakarma, Sumit Kumar, Das, Soumik, and Panigrahi, Tapas Ranjan
- Subjects
NONLINEAR functions ,PHASE velocity ,DISPERSION relations ,HEAD waves ,FREE surfaces - Abstract
Objective: The current study discusses torsional wave transmission in a sandy layer across an orthotropic half-space. The interface that lies between the sandy layer and the half-space is governed by a non-linear function that describes the irregularity of the interface in a certain span along the horizontal axis. The inhomogeneity parameter associated with the media has been governed by a non-linear function as the composition of polynomial, exponential, and cosine functions of depth [Bullen (1940) in Bull. Seismol. Soc. Am. 235–250.]. Methodology: By means of suitable substitutions and variable-separable techniques, the displacement components have been derived in a closed form. The intrinsic boundary condition at the free surface and the interface have been imposed to deduce the dispersion relation. Two-dimensional graphs have been plotted for phase velocity against radial components to illustrate the influence of inhomogeneity parameters, initial stress, and rigidity ratios. Conclusion: The phase velocity of the torsional surface wave changes dramatically with respect to the various inhomogeneity parameters. The Biot's gravity parameter alters the velocity appreciably. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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