Two-dimensional modelling of laminated piezoelectric composites: Analysis and numerical results

Thin-Walled Structures

Volumn 39, Issue 1, 2001, Pages 3-22

  Fernandes, Amâncio ^a   Pouget, Joël ^a  

^a INSTITUT JEAN LE ROND D ALEMBERT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC POTENTIAL; FINITE ELEMENT METHOD; LAMINATED COMPOSITES; MATHEMATICAL MODELS; PIEZOELECTRIC MATERIALS; STRESS ANALYSIS; STRUCTURAL ANALYSIS; VARIATIONAL TECHNIQUES;

LAMINATED PIEZOELECTRIC PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 0035089371     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8231(00)00051-3     Document Type: Article

References (24)

1. Rao S.S., Sunar M. Piezoelectricity and its use in disturbance sensing and control of flexible structures: A survey. ASME Appl. Mech. Rev. 47:1994;113-123.
2. Peters D.J., Blackford B.L. Piezoelectric bimorph-based translation device for two-dimensional, remote micropositioning. Rev. Sci. Instrum. 60:1989;138-140.
3. Loewy R.G. Recent developments in smart structures with aeronautical applications. Smart Mater. Struct. 6:1997;R11-R42.
4. Hagoud N.W., Chung W.H., Von Flotow A. Modelling of piezoelectric actuator dynamics for active structural control. J. Intell. Mater. Syst. and Struct. 1:1990;327-354.
5. Tiersten H.F. Linear piezoelectric plate vibrations. 1969;Plenum, New York.
6. Mindlin R.D. High frequency vibrations of piezoelectric crystal plates. Int. J. Solids Structures. 8:1972;895-906.
7. Lee C.K. Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part 1: Governing equations and reciprocal relationships. J. Acoust. Soc. Am. 87:1990;1144-1158.
8. Zhang X.D., Sun C.T. Formulation of an adaptive sandwich beam. Smart Mater. Struct. 5:1996;814-823.
9. Mitchell J.A., Reddy J.N. A refined hybrid plate theory for composite laminates with piezoelectric laminae. Int. J. Solids Structures. 32:1995;2345-2367.
10. Touratier M. An efficient standard plate theory. Int. J. Engng. Sci. 29:1991;901-916.
11. Love A.E.H. Treatise on the mathematical theory of elasticity. 1944;Dover, New York.
12. Reissner E. On transverse bending of plates including the effect of transverse shear deformation. Int. J. Solids Structures. 11:1975;569-573.
13. Levinson M. An accurate, simple theory of static and dynamics of elastic plates. Mech. Res. Comm. 7:1980;342-350.
14. Reddy J.N. A simple higher-order theory for laminated composite plates. ASME J. Appl. Mech. 51:1984;745-752.
15. Touratier M. A refined theory of laminated shallow shells. Int. J. Solids Struct. 29:1992;1401-1415.
16. Yang J.S. Equations for the extension and flexure of electroelastic plates under strong electric fields. Int. J. Solids Structures. 36:1999;3171-3192.
17. Rogacheva N.N. The theory of piezoelectric shells and plates. 1994;CRC Press, Boca Raton.
18. Robbins D.H., Reddy J.N. Modelling of thick composites using a layerwise laminate theory. Int. J. Numer. Meth. Engng. 36:1993;655-677.
19. Eringen A.C., Maugin G.A. Electrodynamics of continua. I. Foundations and solid media. 1990;Springer-Verlag, New York.
20. Berlincourt D.A., Curran D.R., Jaffe H. Piezoelectric and piezomagnetic materials and their function in transducers. Mason W.P. Physical Acoustics, vol. 1. 1964;169-270 Academic Press, New York.
21. Smits J.G., Dalk S.I., Cooney T.K. The constituent equations of piezoelectric bimorphs. Sensors and Actuators. A28:1991;41-61.
22. Pagano N.J. Exact solutions for composite laminates in cylindrical bending. J. Compos. Mater. 3:1969;398-411.
23. Heyliger P., Brooks S. Exact solutions for laminated piezoelectric plates in cylindrical bending. J. Appl. Mech. 63:1996;903-910.
24. Heyliger P., Brooks S. Free vibration of piezoelectric laminates in cylindrical bending. Int. J. Solids Structures. 32:1995;2945-2960.