Romanowski, Holger; Schröder, Jörg:

On the modeling of nonlinear electro-mechanical coupled ferroelectrica

In: Proceedings in Applied Mathematics and Mechanics, Jg. 3 (2003) ; Nr. 1, S. 216-217
ISSN: 1617-7061
Zeitschriftenaufsatz / Fach: Bauwissenschaften
In this contribution we discuss a simple phenomenological model for an assumed transversely isotropic ferroelectric crystal. We focus on the theoretical formulation and numerical treatment of the coupled electro-mechanical behaviour. The main goal of this investigation is to capture the main characteristics of nonlinear ferroelectrica, such as the polarization-electric-field and the quadratic strain-electric-field (butterfly) hysteresis loops. The history dependency is modelled via two internal variables, the irreversible polarization and its conjugated irreversible electric-field.