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An analytical study on the Rayleigh wave generation in a stratified structure

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Abstract

In this paper, an analytical method is used to investigate the Rayleigh wave generation in a stratified structure and the wave generation in a dry sandy layer constrained between the couple stress and inhomogeneous orthotropic half-spaces. This study is devoted to analyzing the impact of various effective parameters associated with the media on the phase velocities of the wave. The displacement components for each medium are derived by implementing the separable variable method. The frequency equation is secured by using the displacement components in the boundary conditions, imposed at the interfaces between the layer and half-spaces. Moreover, the secured equation is the relation between the phase velocity and the wave number. Numerical computations are performed, and graphical representations are demonstrated between the phase velocity and the wave number for both phase velocities with different values of the parameters. The comparison between the phase velocities is observed for the same value of each parameter.

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Acknowledgements

The authors convey their sincere thanks to Indian Institute of Technology (Indian School of Mines), Dhanbad, for facilitating us with its best facility for research.

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Authors and Affiliations

  1. Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826004, India

    A. Mandi, S. Kundu, P. Pati & P. C. Pal

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  1. A. Mandi
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  2. S. Kundu
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  3. P. Pati
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  4. P. C. Pal
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Correspondence to A. Mandi.

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Mandi, A., Kundu, S., Pati, P. et al. An analytical study on the Rayleigh wave generation in a stratified structure. Appl. Math. Mech.-Engl. Ed. 41, 1039–1054 (2020). https://doi.org/10.1007/s10483-020-2625-9

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  • DOI: https://doi.org/10.1007/s10483-020-2625-9

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