Table of Contents
Smart Materials Research
Volume 2014 (2014), Article ID 281013, 9 pages
http://dx.doi.org/10.1155/2014/281013
Research Article

The Effects of Piezoelectricity on the Interaction of Waves in Fluid-Loaded Poroelastic Half-Space

1Department of Mathematics, Dyal Singh College, Karnal 132001, India
2Department of Mathematics, Kurukshetra University, Kurukshetra 36119, India

Received 21 October 2013; Revised 9 February 2014; Accepted 6 March 2014; Published 17 April 2014

Academic Editor: Manas C. Ray

Copyright © 2014 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.

Linked References

  1. B. Noorbehesht and G. Wade, “Spatial frequency characteristics of opto-acoustic transducers,” Acoustical Imaging: Proceedings of the International Symposium, vol. 9, pp. 139–154, 1980. View at Google Scholar · View at Scopus
  2. B. A. Auld, Acoustic Fields and Waves in Solids, John Wiley and Sons, New York, NY, USA, 1973.
  3. E. Dieulesaint and D. Royer, Elastic Waves in Solids: Applications To Signal Processing, Wiley, New York, NY, USA, 1980.
  4. V. Z. Parton and B. A. Kudryavtsev, Electromagnetoelasticity: Piezoelectrics and Electrically Conductive Solids, Gordon and Beach, New York, NY, USA, 1988.
  5. B. Noorbehesht and G. Wade, “Reflection and transmission of plane elastic waves at the boundary between piezoelectric materials and water,” Journal of the Acoustical Society of America, vol. 67, no. 6, pp. 1947–1953, 1980. View at Google Scholar · View at Scopus
  6. B. A. Auld, “Wave propagation and resonance in piezoelectric materials,” Journal of the Acoustical Society of America, vol. 70, no. 6, pp. 1577–1585, 1981. View at Google Scholar · View at Scopus
  7. V. I. Alshits, J. Lothe, and V. N. Lyubimov, “The phase shift for reflection of elastic waves in hexagonal piezoelectric crystals,” Wave Motion, vol. 6, no. 3, pp. 259–264, 1984. View at Google Scholar · View at Scopus
  8. A. H. Nayfeh and H.-T. Chien, “Wave propagation interaction with free and fluid-loaded piezoelectric substrates,” Journal of the Acoustical Society of America, vol. 91, no. 6, pp. 3126–3135, 1992. View at Google Scholar · View at Scopus
  9. A. G. Every and V. I. Neiman, “Reflection of electroacoustic waves in piezoelectric solids: mode conversion into four bulk waves,” Journal of Applied Physics, vol. 71, no. 12, pp. 6018–6024, 1992. View at Publisher · View at Google Scholar · View at Scopus
  10. L. P. Zinchuk and A. N. Podlipenets, “Propagation of shear waves in piezoelectric “superlattice- substrate” structures,” Journal of Mathematical Sciences, vol. 101, no. 6, pp. 3688–3693, 2000. View at Google Scholar · View at Scopus
  11. L. P. Zinchuk and A. N. Podlipenets, “Dispersion equations for rayleigh waves in a piezoelectric periodically layered structure,” Journal of Mathematical Sciences, vol. 103, no. 3, pp. 398–403, 2001. View at Google Scholar · View at Scopus
  12. B. D. Zaitsev and I. E. Kuznetsova, “The energy density and power flow of acoustic waves propagating in piezoelectric materials,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 50, no. 12, pp. 1762–1765, 2003. View at Publisher · View at Google Scholar · View at Scopus
  13. E. Le Clezio and A. Shuvalov, “Transmission of acoustic waves through piezoelectric plates: modeling and experiment,” in IEEE Ultrasonics Symposium, pp. 553–556, August 2004. View at Scopus
  14. S. I. Burkov, B. P. Sorokin, D. A. Glushkov, and K. S. Aleksandrov, “Theory and computer simulation of the reflection and refraction of bulk acoustic waves in piezoelectrics under the action of an external electric field,” Crystallography Reports, vol. 50, no. 6, pp. 986–993, 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. S. I. Burkov, B. P. Sorokin, K. S. Aleksandrov, and A. A. Karpovich, “Reflection and refraction of bulk acoustic waves in piezoelectrics under uniaxial stress,” Acoustical Physics, vol. 55, no. 2, pp. 178–185, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. A. N. Darinskii, E. Le Clezio, and G. Feuillard, “The role of electromagnetic waves in the reflection of acoustic waves in piezoelectric crystals,” Wave Motion, vol. 45, no. 4, pp. 428–444, 2008. View at Publisher · View at Google Scholar · View at Scopus
  17. A.-E. N. Abd-Alla and F. A. Alsheikh, “Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses,” Archive of Applied Mechanics, vol. 79, no. 9, pp. 843–857, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. K. Y. Hashimoto and M. Yamaguchi, “Elastic, piezoelectric and dielectric properties of composite materials,” Proceeding IEEE Ultrasonics Symposium, vol. 2, pp. 697–702, 1986. View at Publisher · View at Google Scholar
  19. H. Banno, “Theoretical equations for dielectric, piezoelectric and elastic properties of flexible composite consisting of polymer and ceramic powder of two different materials,” Ferroelectric, vol. 95, no. 1, pp. 111–115, 1989. View at Publisher · View at Google Scholar
  20. W. A. Smith and B. A. Auld, “Modeling 1-3 composite piezoelectrics: thickness-mode oscillations,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 38, no. 1, pp. 40–47, 1991. View at Publisher · View at Google Scholar · View at Scopus
  21. H. Banno, “Effects of porosity on dielectric, elastic and electromechanical properties of Pb(Zr, Ti)O3 ceramics with open pores: a theoretical approach,” Japanese Journal of Applied Physics: Regular Papers and Short Notes and Review Papers, vol. 32, no. 9, pp. 4214–4217, 1993. View at Google Scholar · View at Scopus
  22. C. R. Bowen, A. Perry, A. C. F. Lewis, and H. Kara, “Processing and properties of porous piezoelectric materials with high hydrostatic figures of merit,” Journal of the European Ceramic Society, vol. 24, no. 2, pp. 541–545, 2004. View at Publisher · View at Google Scholar · View at Scopus
  23. B. Praveenkumar, H. H. Kumar, and D. K. Kharat, “Characterization and microstructure of porous lead zirconate titanate ceramics,” Bulletin of Materials Science, vol. 28, no. 5, pp. 453–455, 2005. View at Google Scholar · View at Scopus
  24. D. Piazza, L. Stoleriu, L. Mitoseriu, A. Stancu, and C. Galassi, “Characterisation of porous PZT ceramics by first-order reversal curves (FORC) diagrams,” Journal of the European Ceramic Society, vol. 26, no. 14, pp. 2959–2962, 2006. View at Publisher · View at Google Scholar · View at Scopus
  25. H. L. Zhang, J.-F. Li, and B.-P. Zhang, “Microstructure and electrical properties of porous PZT ceramics derived from different pore-forming agents,” Acta Materialia, vol. 55, no. 1, pp. 171–181, 2007. View at Publisher · View at Google Scholar · View at Scopus
  26. A. K. Vashishth and V. Gupta, “Vibrations of porous piezoelectric ceramic plates,” Journal of Sound and Vibration, vol. 325, no. 4-5, pp. 781–797, 2009. View at Publisher · View at Google Scholar · View at Scopus
  27. A. K. Vashishth and V. Gupta, “Wave propagation in transversely isotropic porous piezoelectric materials,” International Journal of Solids and Structures, vol. 46, no. 20, pp. 3620–3632, 2009. View at Publisher · View at Google Scholar · View at Scopus
  28. A. K. Vashishth and V. Gupta, “Uniqueness theorem, theorem of reciprocity, and eigenvalue problems in linear theory of porous piezoelectricity,” Applied Mathematics and Mechanics, vol. 32, no. 4, pp. 479–494, 2011. View at Publisher · View at Google Scholar · View at Scopus
  29. A. K. Vashishth and V. Gupta, “Reflection and transmission phenomena in poroelastic plate sandwiched between fluid half space and porous piezoelectric half space,” Smart Materials Research, vol. 2013, Article ID 767019, 8 pages, 2013. View at Publisher · View at Google Scholar
  30. R. Kar-Gupta and T. A. Venkatesh, “Electromechanical response of porous piezoelectric materials,” Acta Materialia, vol. 54, no. 15, pp. 4063–4078, 2006. View at Publisher · View at Google Scholar · View at Scopus