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2020 | OriginalPaper | Chapter

A Green’s Function Approach to Analyze the Dispersion Characteristics of Love Type Wave Due to an Impulsive Point Source in a Piezoelectric Layered Structure

Authors : Anusree Ray, Abhishek K. Singh

Published in: Mathematical Modelling and Scientific Computing with Applications

Publisher: Springer Singapore

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Abstract

An external source of disturbance in a material, even of point size, give rise to waves propagating away from the concerned region in its interior at a specified time. Such an impulse may be best described with the aid of Dirac delta function. Green’s function is primarily utilized in solving these problems of elastodynamics. The present study focuses to investigate the propagation characteristics of Love-type wave influenced by an impulsive point source in a layered structure comprised of a heterogeneous piezoelectric layer lying over a heterogeneous isotropic half-space. Green’s function technique is adopted in order to obtain the dispersion equation, which is further reduced to the classical result of Love wave. For sake of computation, numerical data of PZT-5H ceramics for the heterogeneous piezoelectric layer is considered. Influence of heterogeneity, piezoelectricity and dielectric constant associated with the heterogeneous piezoelectric layer; and effect of heterogeneity parameter and corresponding magnification factor concerned with heterogeneity in the isotropic half-space has been reported through graphical delineation.

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Appendix
Available only for authorised users
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Metadata
Title
A Green’s Function Approach to Analyze the Dispersion Characteristics of Love Type Wave Due to an Impulsive Point Source in a Piezoelectric Layered Structure
Authors
Anusree Ray
Abhishek K. Singh
Copyright Year
2020
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-1338-1_1

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