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On the propagation of plane waves in piezoelectromagnetic monoclinic crystals

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Języki publikacji
EN
Abstrakty
EN
In a piezoelectromagnetic crystalline medium belonging to the class 2 of the monoclinic crystallographic system we find some classes of piezoelectricity-induced electromagnetic waves. These are time harmonic plane waves propagating along the symmetry axis and depending only on the axial coordinate. There are two independent modes of propagation, one longitudinal and one transverse, with mechanical and electromagnetical couplings. The transverse mode admits as a particular case an electromagnetic wave with no associated elastic deformation.
Rocznik
Strony
197--212
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
  • Department of Mathematics University of Padua, Italy
Bibliografia
  • 1. H.F. Tiersten, Linear Piezoelectric Plate Vibrations, Plenum, New York, 1969.
  • 2. J. Yang, J. Wang, Dynamic anti-plane problems of piezoceramics and applications in ultrasonics – a review, Acta Mechanica Solida inica, 21, 3, 207–220, 2008.
  • 3. S.H. Guo, A fully dynamic theory of piezoelectromagnetic waves, Acta Mech., 215, 335–344, 2010.
  • 4. S. Li, The electromagneto-acoustic surface wave in a piezoelectric medium: The Bleustein–Gulyaev mode, J. Appl. Phys., 80, 9, 5264–5269, 1996.
  • 5. R.D. Mindlin, Electromagnetic radiation from a vibrating quartz plate, International Journal of Solids and Structures, 9, 697–702, 1973.
  • 6. P.C.Y. Lee, Electromagnetic radiation from an AT-cut quartz plate under lateral-field excitation, Journal of Applied Physics, 65, 1395–1399, 1989.
  • 7. P.C.Y. Lee, Y.-G. Kim, J.H. Prevost, Electromagnetic radiation from doubly rotated piezoelectric crystal plates vibrating at thickness frequencies, Journal of Applied Physics, 67, 6633–6642, 1990.
  • 8. C.F. Campbell, R.J. Weber, Calculation of radiated electromagnetic power from bulk acoustic wave resonators, [in:] Proceedings of the IEEE International Frequency Control Symposium, IEEE, Piscataway, NJ, 472–475, 1993.
  • 9. C. Iadonisi, C.A. Perroni, G. Cantele, D. Ninno, Solutions of the equations for piezoelectromagnetism in polarized ceramics: Infinite medium and slab, J. Appl. Phys. 103, 064109-1-10, 2008.
  • 10. A.A. Oliner, Acoustic Surface Waves, Springer, New York, 1978.
  • 11. G. Scholl, F. Schmidt, T. Ostertag, L. Reindl, H. Scherr, U. Wolff, Wireless passive SAW sensor systems for industrial and domestic applications, [in:] Proceedings of the IEEE International Frequency Control Symposium, IEEE, Piscataway, NJ, 595–601, 1998.
  • 12. H.F. Tiersten, The radiation and confinement of electromagnetic energy accompanying the oscillation of piezoelectric crystal plates, Recent Advances in Engineering Science, 5, 63–90, 1970.
  • 13. R.D. Mindlin, A variational principle for the equations of piezoelectromagnetism in a compound medium, [in:] Complex Variable Analysis and Its Applications (I.N. Vekua 70th Birthday Volume), Nauka, Moscow: Academy of Sciences USSR, 397–400, 1978.
  • 14. P.C.Y. Lee, A variational principle for the equations of piezoelectromagnetism in elastic dielectric crystals, J. Appl. Phys., 69, 7470–7473, 1991.
  • 15. R.D. Mindlin, Thickness-twist vibrations of an infinite, monoclinic, crystal plate, Int. J. Solids Struct., 1, 141–145, 1965.
  • 16. J.S. Yang, X.Y. Wu, The vibration of an elastic dielectric with piezoelectromagnetism, Quarterly of Applied Mathematics, 53, 753–760, 1995.
  • 17. V.G. Yakhno, T.M.G. Yakhno, M. Kasap, A novel approach for modeling and simulation of electromagnetic waves in anisotropic dielectrics, Int. J. of Solids and Structures, 43, 6261–6276, 2006.
  • 18. J.S. Yang, Acoustic gap waves in piezoelectromagnetic materials, Mathematics and Mechanics of Solids, 11, 451–458, 2006.
  • 19. S.N. Jiang, Q. Jiang, X.F. Li, S.H. Guo, H.G. Zhou, J.S. Yang, Piezoelectromagnetic waves in a ceramic plate between two ceramic half-spaces, Int. J. of Solids and Structures, 43, 5799–5810, 2006.
  • 20. J.S. Yang, Love waves in piezoelectromagnetic materials, Acta Mech., 168, 111–117, 2004.
  • 21. J.S. Yang, Piezoelectromagnetic waves in a ceramic plate, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 51, 8, 2004.
  • 22. O. Weiss, Surface excitation of hypersound in piezoelectric crystals by plane electromagnetic waves, Z. Physik B, 21, 1–10, 1975.
  • 23. W. Nowacki, Foundations of Linear Piezoelectricity, [in:] Electromagnetic Interactions in Elastic Solids, CISM Courses and Lectures No. 257, Int. Centre for Mechanical Sciences, H. Parkus [Ed.], Springer, Wien, New York, 105–157, 1979.
  • 24. W.P. Mason, Properties of monoclinic crystals, Physical Review, 70, 9, 1946.
  • 25. J. Zhu, W. Chen, Thickness-twist and face-shear waves in piezoelectric plates of monoclinic crystals, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 58, 12, 2011.
  • 26. J.J. Kjame, Wave propagation in piezoelectric crystals, J. Acoust. Soc. Am., 21, 159, 1949.
  • 27. K. Majorkowska-Knap, Dynamical problems of thermo-piezoelectricity, Bulletin de l’Academie Polonaise des Science, Serie des Sciences Techniques, 27, 2, 1979.
  • 28. R. Bechmann, Determination of the elastic and piezoelectric coefficients of monoclinic crystals, with particular reference to ethylene diamine tartrate, Proc. Phys. Soc. B, 63,
Typ dokumentu
Bibliografia
Identyfikator YADDA
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