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Finite Element Modeling of Piezoelectric Actuators and Sensors: Local Analysis of the Ferroelectric and Ferroelastic Effects

Published online by Cambridge University Press:  01 February 2011

M. Elhadrouz ,
T. Ben Zineb  and
E. Patoor
M. Elhadrouz
Affiliation:
LPMM, UMR CNRS 7554, ENSAM Metz 4, rue Augustin Fresnel 57078 Metz cedex 03 Francetarak.benzineb@metz.ensam.fr
T. Ben Zineb
Affiliation:
LPMM, UMR CNRS 7554, ENSAM Metz 4, rue Augustin Fresnel 57078 Metz cedex 03 Francetarak.benzineb@metz.ensam.fr
E. Patoor
Affiliation:
LPMM, UMR CNRS 7554, ENSAM Metz 4, rue Augustin Fresnel 57078 Metz cedex 03 Francetarak.benzineb@metz.ensam.fr
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Abstract

A new electromechanical finite element is implemented in the Abaqus F.E. code. It takes into account the ferroelectric and ferroelastic behavior. It is represented by a developed phenomenological constitutive law using two internal variables (remnant ferroelastic strain and remnant polarization) and two loading surfaces (electrical and mechanical ones). Saturation phenomena and depolarization under compression mechanical loading are taken into account.

In order to lead to a more accurate description of the domain switching mechanisms, a micromechanical single-crystal ferroelectric and ferroelastic constitutive law was also developed.

The self consistent scale transition technique will be adopted to derive the polycristalline behavior. The results that were obtained by the micromechanical and phenomenological approaches will be compared in order to identify material parameters that will be introduced in the F.E. modeling.

Keywords

PiezoelectricityFerroelectricFerroelasticFinite ElementElectromechanical actuators and sensors
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 881: Symposium CC – Coupled Nonlinear Phenomena Modeling and Simulation for Smart, Ferroic and Multiferroic Materials , 2005 , CC4.7
Copyright
Copyright © Materials Research Society 2005

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References

1 Crawley, E. F., Luis, J. D., 1987, American Institute of Aeronautics and Astronautics Journal, Vol. 25, pp. 1373–1385 Google Scholar
2 Lin, M., Abatan, A., Rogers, C., 1994, Journal of Intelligent Material Systems and Structures Vol. 5, pp. 869–875.Google Scholar
3 Bassiouny, E, Maugin, G.A, 1989, Int. Engng. Sci Vol. 27, 975–1000.Google Scholar
4 Huber, J. E., Fleck, N. A., 1999, J. Mech. Phys. Solids. Vol. 47, pp. 1663–1697.Google Scholar
5 McMeeking, R. M., Landis, C. M., 2002, Int. J. Egng. Sci. Vol. 40, pp. 1553–1577.Google Scholar
6 Lynch, C. S., 1996, Acta. Mater. Vol. 46, pp. 5085–5094.Google Scholar
7 Elhadrouz, M., Ben Zineb, T., Patoor, E., 2005, «Finite element analysis of non linear behavior of a multilayer piezoelectric actuator», in this proceeding.Google Scholar
8 Bassiouny, E., Ghaleb, A. F. et Maugin, G. A., 1988, Int. J. Eng. Sci. Vol. 26, pp. 1279–1306.Google Scholar
9 Elhadrouz, M., Ben Zineb, T., Patoor, E., 2005, Computational Materials Science, 2005, Vol. 32, pp. 355–359.Google Scholar
10 Elhadrouz, M., 2004, «Modélisation du comportement des céramiques ferroélectriques et ferroélastiques», ENSAM PHD Thesis.Google Scholar
11 Siredey, N., Patoor, E., Berveiller, M., Eberhardt, A., 1999, Int. Journal of Solids and Structures, Vol. 36, pp. 4289–4315.Google Scholar
12 Hill, R., 1983, J. Mech. Phys. Solids. Vol. 31, pp. 347–357.Google Scholar
13 Hwang, S. C., Lynch, C., McMeeking, R. M., 1995, Acta Metall. Mater., N° 43, pp. 2073–2084.Google Scholar
14 Cao, H., Evans, A.G., 1993, J. Am. Ceram. Soc. Vol. 76, pp. 890–896.Google Scholar
15 Kamlah, M., Bohle, U., 2001, J. Mec. Phy. Solids Vol. 38, pp. 605–663.Google Scholar
16 Lemaitre, J., Chaboche, J. L., 1990, «Mechanics of solid materials», Editions de l'Université de Cambridge.Google Scholar
17 Schaufele, A., Hardtl, K.H., 1996, J. Am. Ceram. Soc. Vol. 79, pp. 2637–2640.Google Scholar
18 Lynch, C. S., 1996, Acta. Mater. Vol. 44, pp. 4137–4178.Google Scholar
19 , Hibbit, Karlsonn, Sorensen, 2004, «Abaqus theory manual».Google Scholar
20 Elhadrouz, M., Zineb, T. Ben, Patoor, E., 2005, Journal of Intelligent Material Systems and Structures, Vol. 16, N°3, pp. 221–236.Google Scholar