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

  • Anusree RayEmail author
  • Abhishek K. Singh
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)


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.


Green’s function Point source Heterogeneity Piezoelectricity Love-type wave 



The authors convey their sincere thanks to Indian Institute of Technology (Indian School of Mines), Dhanbad, for providing all the necessary facilities to carry out the research work.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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