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Reflection and transmission of plane wave through fluid layer of finite width sandwiched between two monoclinic elastic half-spaces

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Abstract

This paper studies the reflection and transmission of a plane wave through a fluid layer of finite width sandwiched between two dissimilar monoclinic elastic half-spaces. Closed-form expressions for the phase velocity of quasi-waves (qP and qSV) have been obtained. The reflection/transmission coefficients and energy divisions have been procured for all the reflected and transmitted waves in terms of phase velocity, propagation vector, elastic constants and width of the layer. It has been noticed that these epitomes depend not only upon the incident angle and width of the layer, but also on the character of incident wave. Energy proportions have been calculated numerically to validate the rule of energy conservation at different angles of incidence. Graphical representation has been performed to demonstrate the analytical findings.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826004, India

    Brijendra Paswan, Sanjeev A. Sahu & Amares Chattopadhyay

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  1. Brijendra Paswan
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  2. Sanjeev A. Sahu
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  3. Amares Chattopadhyay
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Correspondence to Brijendra Paswan.

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Paswan, B., Sahu, S.A. & Chattopadhyay, A. Reflection and transmission of plane wave through fluid layer of finite width sandwiched between two monoclinic elastic half-spaces. Acta Mech 227, 3687–3701 (2016). https://doi.org/10.1007/s00707-016-1684-4

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  • DOI: https://doi.org/10.1007/s00707-016-1684-4

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