4pEA3. Nonlinear time-domain analysis of electrostrictive materials by the finite element method.

Session: Thursday Afternoon, June 19


Author: Jocelyne F. Coutte-Dubois
Location: IEMN, Dept. ISEN, UMR CNRS 9929, 90 rue de Solferino, 59046 Lille Cedex, France
Author: Jean-Claude Debus
Location: IEMN, Dept. ISEN, UMR CNRS 9929, 90 rue de Solferino, 59046 Lille Cedex, France
Author: Bertrand Dubus
Location: IEMN, Dept. ISEN, UMR CNRS 9929, 90 rue de Solferino, 59046 Lille Cedex, France
Author: Regis Bossut
Location: IEMN, Dept. ISEN, UMR CNRS 9929, 90 rue de Solferino, 59046 Lille Cedex, France

Abstract:

Lead magnesium niobate ceramics (PMN) are promising materials for applications in the field of underwater acoustic projectors. A finite element procedure has been developed in the ATILA code to model the static deformation of these materialss [J. C. Debus et al., J. Acoust. Soc. Am. 100, 2584(A) (1996)]. Two different elements are available according to whether or not the saturation of polarization is included. An extension of this model to nonlinear transient analysis is presented in this paper. The procedure is derived for time stepping by finite difference, using a central difference scheme. This new capability is demonstrated by analyzing the transient response of an electrostrictive bar submitted to different electrical excitations (voltage step, charge step, continuous sine). The validation of the model is carried out by comparing the results obtained with the analytical results for a lumped constants model. The validity of commonly used transducer characteristics is discussed to describe electrostrictive transducers. [Work supported by ONR contract and DRET/DCN grant.]


ASA 133rd meeting - Penn State, June 1997