Sage Journals: Discover world-class research

Abstract

Elastic behavior of piezo-laminates under cylindrical bending is studied using 2D-elasticity model and classical lamination theory (CLT). The stresses and out-of-plane displacements are obtained for standard piezoelectric bimorph and newly proposed piezoelectric laminate with functionally graded microstructure (FGM) plates under cylindrical bending generated by electric field throughout the thickness of the laminate. The FGM piezoelectric laminates are composite materials whose electroelastic properties are varied through their thickness. The properties can vary in a continuous or a stepwise manner. The FGM laminate investigated in this paper is of a stepwise FGM where different piezoelectric composite layers are stacked to form FGM laminate. The feasibility of FGM laminate is studied. The limitations of CLT are investigated against the 2D-elasticity model. CLT solutions are found to coincide well with the elasticity solutions for high aspect ratios while the CLT solutions gave poor results compared to the 2D-elasticity solutions for low aspect ratios. The analytical models, CLT and 2D-elasticity, are investigated against the Finite Element Methods (FEM). Standard bimorph of piezoelectric actuator was fabricated and the displacement measurements resulted in a good agreement to the analytical and FEM results.

Get full access to this article

View all access options for this article.

References

Alamjid, A. , Taya, M. and Hudnut, S. (2001). Analysis of Out-of-plane displacement and stress field in a piezocomposite plate with functionally graded microstructure. Intl. J. Solids Structures, 38, 3377-3391.

Baz, A. and Poh, S. (1988). Performance of an active control system with piezoelectric Actuators. J. Sound Vib., 126, 327-343.

Chatterjee, D.K., Ghosh, S.K. and Furlani, E.P. (1999). Controlled composition and Crystallograaphic changes in forming Functionally Gradient Piezoelectric Transducer. U.S. Patent no. 5,900,274.

Dunn, M. and Taya, M. (1993a). An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proc. Roy. Soc. London, A443, 265-287.

Dunn, M. and Taya, M. (1993b). Micromechanics predictions of the effective Electroelastic moduli of piezoelectric composites. Intl. J. Solids Structures, 30, 161-175.

Eshelby, J.D. (1957). The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. Royal Soc. London, A241, 276-396.

Gibson, R.F. (1994). Principles of Composite materials and Mechanics. McGraw Hill.

Germano, C. (1970). Flexure Mode piezoelectric Transducers. IEEE Tran. Audio Electro., 19, 6-12.

Haertling, G.H. (1994). Rainbow Ceramics-A New Type of Ultra-High-Displacement Actuator. Am. Ceram. Soc. Bull., 73, 93-96.

10.

Lagoudas, D.C. and Zhonghe, B. (1994). The cylindrical bending of composite plates with piezoelectric and SMA layers. Smart Mater. Struc., 3, 309-317.

11.

Pagano, N.J. (1969). Exact Solution for Composite Laminates Bending. J. Composite Materials, 3, 398-411.

12.

Sirohi, J. and Chopra, I. (2000). Fundamental Behavior of Piezoelectric Sheet Actuator. J. Int, Mat. Sys Str., 11, 47-61.

13.

Taya, M. , Lee, J.K. and Mori, T. (1997). Dislocation punching from interfaces in functionally graded materials. Acta materia, 45, 2349-2356.

14.

Tzou, H.S. and Garde, M. (1989). Theoretical Analysis of a Multi-Layered Thin Shell Coupled with Piezoelectric Shell Actuators for Distributed Vibration Controls. J. Sounds and Vibration, 132, 433-450.

15.

Uchino, K. , Yoshizaki, M. , Kasai, K. , Yamamura, H. , Sakai, N. and Asakura, H. (1987). Monomorph Actuators Using Semiconductive Ferroelectrics. Jpn. J. Appl. Phys., 26, 1046-1049.

16.

Wu, C.C. , Khan, M. and Moy, W. (1996). Piezoelectric Ceramics with Functional Gradient: A New Application in Material Design. J. Am. Ceram. Soc., 79, 809-812.

17.

Zhou, Y.S. and Tiersten, H.F. (1994). An elastic analysis of laminated composite plates in cylindrical bending due to piezoelectric actuators. Smart Mater. Struct., 3, 255-265.

2D-Elasticity Analysis of FGM Piezo-Laminates Under Cylindrical Bending

Abstract

Get full access to this article

References