Research Article The Effects of Piezoelectricity on the Interaction of Waves in Fluid-Loaded Poroelastic Half-Space Vishakha Gupta 1 and Anil K. Vashishth 2 1 Department of Mathematics, Dyal Singh College, Karnal 132001, India 2 Department of Mathematics, Kurukshetra University, Kurukshetra 36119, India Correspondence should be addressed to Vishakha Gupta; vi shu85@yahoo.co.in Received 21 October 2013; Revised 9 February 2014; Accepted 6 March 2014; Published 17 April 2014 Academic Editor: Manas C. Ray Copyright © 2014 V. Gupta and A. K. Vashishth. Tis 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. Te efects of piezoelectricity on the interaction of waves at fuid-poroelastic interface are studied. Te constitutive equations and governing equations are formulated and their solution is obtained. Te boundary conditions are described at fuid-solid interface. Te efects of various parameters on the angle of refraction, amplitude ratios, displacements, electric potentials, and vertical component of slowness are studied numerically for a particular model. Te results obtained are in agreement with the general laws of physics. 1. Introduction It is well known that piezoelectric materials produce an electric feld when deformed and undergo deformation when subjected to an electric feld. Piezoelectric materials are acting as very important functional components in sonar projectors, fuid monitors, pulse generators, and surface acoustic wave devices. Te feld of piezoelectric materi- als has advanced rapidly due to an increasing awareness about capabilities of such materials, the development of new materials and transducer designs, and increasingly stringent design and control specifcations in aerospace, aeronautics, industrial, automotive, biomedical, and nanosystems. Engi- neering applications in surface acoustic waves (SAW) devices, materials characterizations, and smart structures require the analysis of elastic wave interaction with piezoelectric mate- rials. Te problem of refection-transmission in piezoelectric materials has been attracting unceasing attention in view of its theoretical interest and from application points of view also. Te characteristics of the refected and refracted waves at such boundaries give information about the resolution characteristics of acoustic transducers [1]. Te refection and refraction of plane waves in piezoelectric anisotropic materials have been mentioned in the texts of Auld [2], Dieulesaint and Royer [3], and Parton and Kudryavtsev [4]. Noorbehesht and Wade [5] obtained the analytical expres- sions for refection and transmission coefcients of the waves at a boundary between piezoelectric materials and water and studied the efects of angle of incidence and material properties on these coefcients. Auld [6] studied the wave propagation in piezoelectric materials. Te refection ofa transverse wave from the surface of a piezoelectric crystal of class 6 was studied by Alshits et al. [7]. Nayfeh and Chien [8] made an analytical study on ultrasonic wave interaction with fuid-loaded anisotropic piezoelectric substrates. Te analytical expressions for the refection and transmission coefcients were derived and propagation characteristics of the leaky wave and free wave are also identifed. Every and Neiman [9] analyzed the refection of electroacoustic waves at the boundary of a piezoelectric half-space. Zinchuk and Podlipenets [10, 11] obtained dispersion equations for acoustoelectric Rayleigh wave in a periodic layer piezoelectric half-space in a study for the 6 mm crystal class. Zaitsev and Kuznetsova [12] performed a detailed analysis of energy characteristics of bulk, surface, and plane acoustic waves in piezoelectric materials and structures. Le Clezio and Shuvalov [13] dealt theoretically and experimentally with the transmission of acoustic waves through a piezoelectric plate. Burkov et al. [14, 15] derived the basic equations describing the wave at the interface between acentric crystals Hindawi Publishing Corporation Smart Materials Research Volume 2014, Article ID 281013, 9 pages http://dx.doi.org/10.1155/2014/281013