Table of Contents
Smart Materials Research
Volume 2013 (2013), Article ID 767019, 8 pages
http://dx.doi.org/10.1155/2013/767019
Research Article

Reflection and Transmission Phenomena in Poroelastic Plate Sandwiched between Fluid Half Space and Porous Piezoelectric Half Space

1Department of Mathematics, Dyal Singh College, Karnal 132 001, India
2Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India

Received 25 April 2013; Accepted 22 June 2013

Academic Editor: Chris Bowen

Copyright © 2013 Vishakha Gupta and Anil K. Vashishth. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The reflection and transmission of elastic waves in porous piezoelectric plate, overlying a porous piezoelectric half space and underlying a fluid half space, is studied. The constitutive and governing equations are formulated for porous piezoelectric materials. The expressions for the mechanical displacements, electric displacements, stresses, and electric potentials are derived for porous piezoelectric plate, porous piezoelectric half space, and fluid half space. The boundary conditions are described for the studied model. The behaviour of reflected and transmitted amplitude ratios relative to frequency, incident angle, thickness, and porosity is observed numerically. The impedance mismatching problem between the dense piezoelectric materials and the surrounding medium can be solved by the inclusion of porosity in dense piezoceramics.