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2020 | OriginalPaper | Chapter

Diffraction of Scalar-Impulsive(SH) Waves by a Spherical Cavity Embedded in an Inhomogeneous Medium

Authors : Aditya Kumar Patnaik, S. M. Abo-Dahab, Sapan Kumar Samal

Published in: Recent Trends in Wave Mechanics and Vibrations

Publisher: Springer Singapore

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Abstract

The solution of displacement field to the problem of diffraction of SH waves generated by an impulsive point source due to a spherical cavity in a non-homogeneous elastic medium, has been obtained in integral forms. The integrals are evaluated asymptotically to obtain short time estimate of the motion near the wave front for large frequency. The displacement of impulsive waves are shown graphically for different values of inhomogeneity factor ‘\(q(0<q<1)\)’ with respect to observational point. It is observed that the displacement of diffracted SH-waves decreases as the arrival time increases for some fixed values of inhomogeneity of the medium. Also for fixed arrival time the displacement decreases as the inhomogeneity increases.

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previous chapter Effects of Viscosity, Thermal Conductivity, and Heat Source on MHD Convective Heat Transfer in a Vertical Channel with Thermal Slip Condition
next chapter Love Type Surface Waves in Curved Layers
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Metadata
Title
Diffraction of Scalar-Impulsive(SH) Waves by a Spherical Cavity Embedded in an Inhomogeneous Medium
Authors
Aditya Kumar Patnaik
S. M. Abo-Dahab
Sapan Kumar Samal
Copyright Year
2020
Publisher
Springer Singapore
Book
Recent Trends in Wave Mechanics and Vibrations

Print ISBN: 978-981-15-0286-6

Electronic ISBN: 978-981-15-0287-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-0287-3_7

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