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Finite Element Analysis of the non Linear Behavior of a Multilayer Piezoelectric Actuator

Published online by Cambridge University Press:  01 February 2011

M. Elhadrouz ,
T. Ben Zineb  and
E. Patoor
M. Elhadrouz
Affiliation:
Laboratoire de Physique et Mécanique des Matériaux UMR CNRS 7554 Ecole Nationale Supérieure d'Arts et Métiers – CER de Metz 4 rue Augustin Fresnel Metz Technopôle 2000 57078 Metz Cedex - France
T. Ben Zineb
Affiliation:
Laboratoire de Physique et Mécanique des Matériaux UMR CNRS 7554 Ecole Nationale Supérieure d'Arts et Métiers – CER de Metz 4 rue Augustin Fresnel Metz Technopôle 2000 57078 Metz Cedex - France
E. Patoor
Affiliation:
Laboratoire de Physique et Mécanique des Matériaux UMR CNRS 7554 Ecole Nationale Supérieure d'Arts et Métiers – CER de Metz 4 rue Augustin Fresnel Metz Technopôle 2000 57078 Metz Cedex - France
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Abstract

A constitutive law for ferroelectric and ferroelastic piezoceramics is implemented in ABAQUS Standard using the subroutine user element. A linear solid element is defined: it is an eight-node hexahedron having the mechanical displacement components and the electric potential as degrees of freedom for each node. The element is formulated for static analysis and it needs the definition of the contribution of this element to the Jacobian (stiffness) and the definition of an array containing the contributions of this element to the right-hand-side vectors of the overall system of equations The subroutine is called for each element that is of a user-defined element type each time element calculations are required. As an example, the element is used for the simulation of a multilayer actuator made of piezoceramics. In this case, the piezoelectric equations are not valid since the electric loading induces non linear phenomena, which are captured through the constitutive law implemented in the user element.

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 , CC4.11
Copyright
Copyright © Materials Research Society 2005

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References

1 Li, F. and Fang, D., “Simulations of domain switching in ferroelectrics by a three dimensional finite element model”, Mechanics of Materials, vol. 36, pp. 959–973, 2004.Google Scholar
2 Wu, D., Chien, W., Yang, C., and Yen, Y., “Coupled-field analysis of piezoelectric beam actuator using fem”, Sensors and Actuators A, vol. 118, pp. 171–176, 2005.Google Scholar
3 Hwang, W. and Parkt, H., “Finite element modeling of piezoelectric sensors and actuators”, Sensors and Actuators A, vol. 5, pp. 930–937, 1993.Google Scholar
4 Senturia, S., “Cad challenges for microsensors”, IEEE 86, vol. 8, pp. 1611–1628, 1998.Google Scholar
5 Fang, D. and Soh, A., “Finite element modeling of electro-mechanically coupled analysis for ferroelectric ceramic materials with defects”, Comput. Methods Appl. Mech. Engrg., vol. 190, pp. 2771–2787, 2001.Google Scholar
6 Shindo, Y., Narita, F., and Sosa, H., “Electroelastic analysis of piezoelectric ceramics with surface electrodes”, International Journal of Engineering Science, vol. 36, pp. 1001–1009, 1998.Google Scholar
7 Elhadrouz, M., Zineb, T. B., and Patoor, E., “Constitutive law for ferroelastic and ferroelectric piezoceramics”, J. Int. Mat. Sys. Struc., Vol. 16, No. 3, 221–236, 2005.Google Scholar
8 Ghandi, K. and Hagwood, N., “Non linear finite element modeling of phase transitions in electro-mechanically coupled material”, Proc. SPIE, vol. 2339, pp. 97–112, 1996.Google Scholar
9 Nagtegaal, D. and Rice, J., “On numerically accurate finite element solutions in the fully plastic range”, Comput. Methods Appl. Mech. Engrg., vol. 4, pp. 153–177, 1974.Google Scholar
10 Shindo, Y., Yoshida, M., Narita, F., and Horiguchi, K., “Electroelastic field concentrations ahead of electrodes in multilayer piezoelectric actuators: experiment and finite element simulation”, Journal of the Mechanics and Physics of Solids, vol. 52, pp. 1109–1124, 2004 Google Scholar