Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30840
Simulation of Piezoelectric Laminated Smart Structure under Strong Electric Field

Authors: Shun-Qi Zhang, Shu-Yang Zhang, Min Chen


Applying strong electric field on piezoelectric actuators, on one hand very significant electroelastic material nonlinear effects will occur, on the other hand piezo plates and shells may undergo large displacements and rotations. In order to give a precise prediction of piezolaminated smart structures under large electric field, this paper develops a finite element (FE) model accounting for both electroelastic material nonlinearity and geometric nonlinearity with large rotations based on the first order shear deformation (FSOD) hypothesis. The proposed FE model is applied to analyze a piezolaminated semicircular shell structure.

Keywords: Smart Structures, geometric nonlinearity, material nonlinearity, piezolamintes, strong electric field

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 564


[1] J. S. Moita, P. G. Martins, C. M. M. Soares, and C. A. M. Soares, “Optimal dynamic control of laminated adaptive structures using a higher order model and a genetic algorithm,” Computers and Structures, vol. 86, pp. 198–206, 2008.
[2] S.-Q. Zhang, R. Schmidt, P. C. M¨uller, and X.-S. Qin, “Disturbance rejection control for vibration suppression of smart beams and plates under a high frequency excitation,” Journal of Sound and Vibration, vol. 353, pp. 19–37, 2015.
[3] D. F. Nelson, “Theory of nonlinear electroacoustics of dielectric, piezoelectric, and pyroelectric crystals,” The Journal of the Acoustical Society of America, vol. 63, no. 6, pp. 1738–1748, 1978.
[4] H. F. Tiersten, “Electroelastic interactions and the piezoelectric equations,” The Journal of the Acoustical Society of America, vol. 70, no. 6, pp. 1567–1576, 1981.
[5] S. Li, W. Cao, and L. E. Cross, “The extrinsic nature of nonlinear behavior observed in lead zirconate titanate ferroelectric ceramic,” Journal of Applied Physics, vol. 69, no. 10, pp. 7219–7224, 1991.
[6] A. J. Masys, W. Ren, G. Yang, and B. K. Mukherjee, “Piezoelectric strain in lead zirconate titante ceramics as a function of electric field, frequency, and dc bias,” Journal of Applied Physics, vol. 94, no. 2, pp. 1155–1162, 2003.
[7] C. M. Landis, “Non-linear constitutive modeling of ferroelectrics,” Current Opinion in Solid State and Materials Science, vol. 8, pp. 59–69, 2004.
[8] L. Ma, Y. Shen, J. Li, H. Zheng, and T. Zou, “Modeling hysteresis for piezoelectric actuators,” Journal of Intelligent Material Systems and Structures, vol. 27, no. 10, pp. 1404–1411, 2016.
[9] Q.-M. Wang, Q. Zhang, B. Xu, R. Liu, and L. E. Cross, “Nonlinear piezoelectric behavior of ceramic bending mode actuators under strong electric fields,” Journal of Applied Physics, vol. 86, no. 6, pp. 3352–3360, 1999.
[10] L. Q. Yao, J. G. Zhang, L. Lu, and M. O. Lai, “Nonlinear dynamic characteristics of piezoelectric bending actuators under strong applied electric,” Journal of Microelectromechanical Systems, vol. 13, no. 4, pp. 645–652, 2004.
[11] Z. K. Kusculuoglu and T. J. Royston, “Nonlinear modeling of composite plates with piezoceramic layers using finite element analysis,” Journal of Sound and Vibration, vol. 315, pp. 911–926, 2008.
[12] S. Panda and M. C. Ray, “Nonlinear finite element analysis of functionally graded plates integrated with patches of piezoelectric fiber reinforced composite,” Finite Elements in Analysis and Design, vol. 44, pp. 493–504, 2008.
[13] R. Schmidt and T. D. Vu, “Nonlinear dynamic FE simulation of smart piezolaminated structures based on first- and third-order transverse shear deformation theory,” Advanced Materials Research, vol. 79 - 82, pp. 1313–1316, 2009.
[14] S. Lentzen, P. Klosowski, and R. Schmidt, “Geometrically nonlinear finite element simulation of smart piezolaminated plates and shells,” Smart Materials and Structures, vol. 16, pp. 2265–2274, 2007.
[15] S. Q. Zhang and R. Schmidt, “Large rotation FE transient analysis of piezolaminated thin-walled smart structures,” Smart Materials and Structures, vol. 22, p. 105025, 2013.
[16] S. Zhang and R. Schmidt, “Static and dynamic FE analysis of piezoelectric integrated thin-walled composite structures with large rotations,” Composite Structures, vol. 112, pp. 345–357, 2014.
[17] L. Q. Yao, J. G. Zhang, L. Lu, and M. O. Lai, “Nonlinear extension and bending of piezoelectric laminated plate under large applied field actuation,” Smart Materials and Structures, vol. 13, pp. 404–414, 2004.
[18] L. M. Habip, “Theory of elastic shells in the reference state,” Ingenieur-Archiv, vol. 34, pp. 228–237, 1965.
[19] L. Librescu, Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures. Leyden: Noordhoff International, 1975.
[20] I. Kreja and R. Schmidt, “Large rotations in first-order shear deformation FE analysis of laminated shells,” International Journal of Non-Linear Mechanics, vol. 41, pp. 101–123, 2006.
[21] CTS Corporation: (accessed on 17/02/1017).
[22] S. Kapuria and M. Y. Yasin, “A nonlinear efficient layerwise finite element model for smart piezolaminated composites under strong applied electric field,” Smart Materials and Structures, vol. 22, p. 055021, 2013.