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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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