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Scattering and propagation characteristics of SH wave in reduced Cosserat isotropic layered structure at irregular boundaries
Author(s) -
Chaki Mriganka Shekhar,
Singh Abhishek Kumar
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7176
Subject(s) - scattering , isotropy , mathematics , displacement (psychology) , reflection (computer programming) , mathematical analysis , boundary value problem , geometry , classical mechanics , physics , optics , psychology , computer science , psychotherapist , programming language
In the present paper, scattering phenomena has been studied when propagating SH wave incident on the irregular upper boundary of a linear‐reduced Cosserat isotropic layer/half‐space configuration. Algebraic expression for dispersion equation of scattering SH wave has been deduced analytically. Expressions of displacement component and microrotational components for reflected wave have been obtained for three distinct types of irregularity, i.e., rectangular, parabolic and triangular notch‐shaped irregularity. The effect of distinct irregularity parameters on displacement and microrotational fields of reflected wave has been analysed numerically and graphically. The deduced microrotational fields due to scattering and reflection phenomena in irregular layered structure with microrotations serve as highlights of the present work which may find their application in seismic prediction, acoustic engineering and civil engineering.

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