Influence of Abrupt Thickening on the Shear Wave Propagation on Reduced Cosserat Media with Imperfect Interface
Publication: International Journal of Geomechanics
Volume 22, Issue 4
Abstract
The present study delves into the propagation phenomenon of shear waves in a layered structure comprised of reduced Cosserat stratum imperfectly bonded to a reduced Cosserat substrate having abrupt thickening at the interface. The dispersion equation of the shear waves has been deduced in algebraic form by employing Fourier transformation along with a perturbation method. Moreover, the impact of differently shaped abrupt thickening existing at the imperfect interface on the frequency of shear wave has been studied numerically and demonstrated through graphing. A comparative study is carried out through graphical illustrations to highlight the concealed behavior of shear waves in response to various affecting parameters, such as an abrupt thickening parameter and imperfect bonding parameter. The present study provides a theoretical framework in the study of rotational seismology, lithosphere–asthenosphere boundary, and acoustic metamaterials.
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Acknowledgments
The authors convey their sincere thanks to National Board for Higher Mathematics (NBHM) for providing financial support to carry out this research work through project no. 2/48(3)/2016/NBHM(R.P)/R&D II/4528 entitled “Mathematical modeling of elastic wave propagation in highly anisotropic and heterogeneous media.”
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Published In
International Journal of Geomechanics
Volume 22 • Issue 4 • April 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jan 29, 2021
Accepted: Nov 14, 2021
Published online: Feb 2, 2022
Published in print: Apr 1, 2022
Discussion open until: Jul 2, 2022
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