Two-dimensional equations for multilayered shells of piezoelectric semiconductors are derived. The equations are used to analyze the propagation of torsional waves in a single-layered circular cylindrical shell of a piezoelectric semiconductor, and in a multilayered shell of nonconducting piezoelectrics and nonpiezoelectric semiconductors. Dispersion and dissipation due to semiconduction as well as wave amplification by a biasing DC electric field are discussed.
Auld, B.A.1973. Acoustic Fields and Waves in Solids, pp. 357-382, John Wiley and Sons, New York .
2.
Busse, L.J. and Miller, J.G.1981. “Response Characteristics of a Finite Aperture, Phase Insensitive Ultrasonic Receiver Based upon the Acoustoelectric Effect,”J. Acoust. Soc. Am., 70(5): 1370-1376 .
3.
de Lorenzi, H.G. and Tiersten, H.F.1975. “On the Interaction of the Electromagnetic Field with Heat Conducting Deformable Semiconductors,”J. Math. Phys., 16(4): 938-957 .
4.
Dietz, D.R. , Busse, L.J. and Fife, M.J.1988. Acoustoelectric Detection of Ultrasound Power with Composite Piezoelectric and Semiconductor Devices,”IEEE Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 35(2): 146-151 .
5.
Dokmeci, M.C.1990. “Shell Theory for Vibrations of Piezoceramics under a Bias,”IEEE Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 37(5): 369-385 .
6.
Gualtieri, J.G. , Kosinski, J.A. and Ballato, A.1994. “Piezoelectric Materials for Acoustic Wave Application,”IEEE. Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 41(1): 53-59 .
7.
Hellwege, K.-H. and Hellege, A.M. (ed.) 1979. Landolt-Bornstein, Numerical Data and Functional Relationships in Science and Technology, p. 266, Springer-Verlag, Berlin .
Hu, Y.T. , Yang, J.S. and Jiang, Q.2002. “On Modeling of Extension and Flexure Response of Electroelastic Shells under Biasing Fields,”Acta Mechanica, 156(3/4): 163-178 .
10.
Hutson, A.R. and White, D.L.1962. “Elastic Wave Propagation in Piezoelectric Semiconductors,”J. Appl. Phys., 33(1): 40-47 .
11.
Lide, D.R. (ed.) 2001-2002. RC Handbook of Chemistry and Physics, 82nd edn, CRC Press .
12.
Maugin, G.A. and Daher, N.1986. “Phenomenological Theory of Elastic Semiconductors,”Int. J. Engng Sci., 24(5): 703-731 .
13.
Mindlin, R.D.1972. High Frequency Vibrations of Piezoelectric Crystal Plates,”Int. J. Solids Struct., 8(7): 895-906 .
14.
Navon, D.H.1986. Semiconductor Microdevices and Materials, CBS College Publishing, New York .
15.
Rogacheva, N.N.1994. The Theory of Piezoelectric Shells and Plates, CRC Press, Boca Raton .
16.
Tzou, H.S.1993. Piezoelectric Shells, Kluwer, Dordrecht, the Netherlands .
17.
Wauer, J. and Suherman, S.1997. “Thickness Vibrations of a Piezo-Semiconducting Plate Layer,”Int. J. Engng Sci., 35(15): 1387-1404 .
18.
Weinreich, G. , Sanders, T.M. Jr. and White, H.G.1959. “Acoustoelectric Effect in n-type Germanium,”Phys. Rev., 114(1): 33-44 .
19.
White, D.L.1962. “Amplification of Ultrasonic Waves in Piezoelectric Semiconductors,”J. Appl. Phys., 33(8): 2547-2554 .
