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Abstract

This article deals with the investigation of the suitability of piezoceramic hollow cylinders for the exploration of electromechanical loading histories with multiaxial stress states. Analytical investigations give a first indication of a nonlinear distribution of the electric potential and, as a result, of an inhomogeneous electric field. These results motivate a deeper investigation by finite element calculations taking into account ferroelectric and ferroelastic hysteresis behavior. A phenomenological constitutive model representing these properties has been implemented into an open source finite element code and is used to simulate the poling process in the radial direction and mechanical loading in the axial direction. The results confirm inhomogeneous distributions of electric fields and stresses during and after poling. This limits the suitability of hollow cylinders for the investigation of the multiaxial electromechanical behavior of piezoceramics. A geometry variation is discussed to minimize the aforementioned effects.

Keywords

piezoceramic domain switching constitutive model finite element method thin-walled tubes ferroelectric ferroelastic

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References

Boehle, U. 1999. “Phenomenological Modeling and Finite-Element-Simulations of Nonlinear Electromechanical Processes in Ferroelectric Materials,” Wissenschaftliche Berichte, FZKA 6347.

Chen, W. and Lynch, C.S. 2001. “Multi-axial Constitutive Behaviour of Ferroelectric Materials,” ASME J. Eng. Mat. Tech., 123: 169-175 .

Fett, T. , Munz, D. and Thun, G. 2003. “Multi-axial Deformation Behavior of PZT from Torsion Tests,” J. Am. Ceram. Soc., 86(8): 1427-1429 .

Kamlah, M. 2001. “Ferroelectric and Ferroeleastic Piezoceramics-modeling of Electromechanical Hysteresis Phenomena,” Continuum Mech. Thermodyn., 13: 219-268 .

Laskewitz, B. and Kamlah, M. 2004. “Nonlinear Finite Element Simulations of Poling Processes in Piezoceramic Devices,” PAMM, 4(1): 286-287 .

PSU, Open Source Finite Element Code, Institut fuer Statik und Dynamik in der Luft- und Raumfahrt, Universitaet Stuttgart.

Shieh, J. , Huber, J.E. and Fleck, N.A. 2003. “An Evaluation of Switching Criteria for Ferroelectrics under Stress and Electric Field,” Acta Materialia, 51: 6123-6137 .

Zhou, D. 2003. “Experimental Investigation of Nonlinear Constitutive Behavior of PZT Piezoceramics,” Forschungszentrum Karlsruhe, Wissenschaftliche Berichte, FZKA 6869.

Zhou, D. , Wang, Z. and Kamlah, M. 2005a. “Experimental Investigation of Domain Switching Criterion for Soft Lead Zirconate Titanate Piezoceramics under Coaxial Proportional Electromechanical Loading,” J. Appl. Phys., 97(6), 084105 .

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Zhou, D. , Kamlah, M. , Wang, Z. and Laskewitz, B. 2005b. ‘ ‘An Experimental Study of Domain Switching Criterion for Soft PZT Piezoceramics Subjected to Coaxial Proportional Electromechanical Loading,” In: SPIE Conference on Smart Structures and Materials, Active Materials: Behavior and Mechanics, San Diego, CA, USA, 5761(327): 327-334 .

Investigations of the Nonlinear Behavior of Piezoceramic Hollow Cylinders

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