An exact three-dimensional solution for simply supported rectangular piezoelectric plates

Journal of Applied Mechanics, Transactions ASME

Volumn 63, Issue 3, 1996, Pages 628-638

  Bisegna, P ^a   Maceri, F ^a  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000343688     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2823343     Document Type: Article

References (27)

1. Ciarlet, P. G., and Destuynder, P., 1979, “A justification of the two-dimensional linear plate model,” J. Mécanique, Vol. 18, pp. 315-344.
2. Gurtin, M. E., 1972, “The Linear Theory of Elasticity,” Handbuch der Physik, S. Flügge, ed., Band VIa/2, Springer-Verlag, Berlin, pp. 129-131.
3. Eringen, A. C., and Maugin, G. A., 1990, Electrodynamics of Continua, Springer-Verlag, New York, pp. 239-257.
4. Ikeda, T., 1990, Fundamentals of piezoelectricity, Oxford University Press, Oxford, U.K., pp. 32-36.
5. Kiral, E., and Eringen, A. C., 1990, Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals, Springer-Verlag, Berlin, pp. 24-37.
6. Lekhnitskii, S. G., 1968, Anisotropic plates, (translated from the 2nd Russian ed. by S. W. Tsai and T. Cheron), Gordon and Breach, New York, pp. 318-392.
7. Levinson, M., 1985, “The simply supported rectangular plate: An exact, three dimensional, linear elasticity solution,” Journal of Elasticity, Vol. 15, pp. 283-291.
8. Landau, L. D., and Lifshitz, E. M., 1981, Electrodynamics of Continuous Media, Course of Theoretical Physics, Vol. 8, Pergamon Press, Oxford, U.K., pp. 5879.
9. Lee, Y. C., 1967, “Three-Dimensional Solution for Simply-Supported Thick Rectangular Plates,” Nuclear Engineering and Design, Vol. 6, pp. 155-162.
10. Mason, W. P., 1981, “Piezoelectricity, its History and Applications,” J. Acoust. Soc. America, Vol. 70, pp. 1561-1566.
11. Maugin, G. A., 1988, Continuum Mechanics of Electromagnetic Solids, North-Holland, Amsterdam, pp. 215-264.
12. Maugin, G. A., and Attou, D., 1990, “An asymptotic theory of thin piezoelectric plates,” Q. Jl. Mech. Appl. Math., Vol. 43, pp. 347-362.
13. Mindlin, R. D., 1972, “High frequency vibrations of piezoelectric crystal plates,” Int. J. Solids Structures, Vol. 8, pp. 895-906.
14. Noor, A. K., and Scott Burton, W., 1990, “Three-Dimensional Solutions for Antisymmetrically Laminated Anisotropic Plates,” ASME Journal of Applied Mechanics, Vol. 57, pp. 182-188.
15. Pagano, N. J., 1970, “Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates,” J. Composite Materials, Vol. 4, pp. 20-34.
16. Pan, E., 1991, “An exact solution for transversely isotropic, simply supported and layered rectangular plates,” Journal of Elasticity, Vol. 25, pp. 101-116.
17. Parton, V. Z., 1984, “Modèles et Solutions Efféctives en Elèctromagnèto-élasticité,” Proceedings IUTAM-IUPAP Symposium, G. A. Maugin, éd., Elsevier Science Publishers B. V., Amsterdam, pp. 47-56.
18. Ray, M. C., Rao, K. M., and Samanta, B., 1992, “Exact Analysis of Coupled Electroelastic Behaviour of a Piezoelectric Plate under Cylindrical Bending,” Computers & Structures, Vol. 45, pp. 667-677.
19. Smith, W. A., 1992, “The Key Design Principle for Piezoelectric Ceramic/Polymer Composites,” Proceedings Recent Advances in Adaptive and Sensory Materials and their Applications, C. A. Rogers and R. C. Rogers, eds., Technomic Publishing Company, Lancaster, PA pp. 825-838.
20. Srinivas, S., and Rao, A. K., 1970, “Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates,” Int. J. Solids Structures, Vol. 6, pp. 1463-1481.
21. Tiersten, H. F., 1969, Linear Piezoelectric Plate Vibrations, Plenum Press, New York, p. 58.
22. Timoshenko, S. P., and Woinowsky-Krieger, S., 1982, Theoiy of plates and shells, 23rd printing, Int. Student Ed., McGraw-Hill, New York, pp. 105-125.
23. Toshiba T, 1983, Piezoceramics, Toshiba Ceramics Company Ltd, Tokyo, Japan, pp. 1-15.
24. Tzou, H. S., 1993, Piezoelectric Shells, Kluwer Academic Publishers, Dordrecht, pp. 13-71.
25. Varadan, V. V., Jeng, J.-H., and Varadan, V. K., 1987, “Form Invariant Constitutive Relations for Transversely Isotropic Piezoelectric Materials,” J. Acoust. Soc. Am., Vol. 82, pp. 337-341.
26. Vernitron V, 1983, “Five Modern Piezoelectric ceramics,” Bulletin of Morgan Matroc Ltd, Vernitron Piezoelectric Division, Bedford, OH, pp. 1-27.
27. Vlasov, B. F., 1957, “On One Case of Bending of Rectangular Thick Plates,” Vestnik Moskovskogo Universitieta, (in Russian), No. 2, pp. 25-34.