https://doi.org/10.1140/epjs/s11734-024-01255-7
Regular Article
Elastic waves in a pre-stressed layered media
1
Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, 638401, Erode, Tamil Nadu, India
2
Department of Mathematics, Karunya Institute of Technology and Sciences, 641114, Coimbatore, Tamil Nadu, India
Received:
30
April
2024
Accepted:
13
July
2024
Published online:
29
July
2024
This study explores the propagation of S-waves in a layered medium characterized by anisotropy, non-homogeneity, incompressibility, pre-existing stress, and couple stress effects. The frequency equation that determines the phase velocity of shear waves, incorporating linear inhomogeneities, has been derived. Using numerical computations in MATLAB, the effects of varying initial stress, density, anisotropy, rigidity, and couple stress parameters on wave propagation are analysed. The findings are presented graphically, providing insights into how these factors influence phase velocity and improving our understanding of wave behaviour in complex media. These findings are not only instrumental in advancing fundamental understanding but also hold practical significance across diverse applications. For instance, in geotechnical engineering, this knowledge can inform the design of robust infrastructure capable of withstanding seismic events. In material science and manufacturing, they facilitate the development of resilient materials and structures.
R. Selvamani and S. Sabeena Begam have contributed equally to this work.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.