Piezoelectric material nonlinearity identification via multiharmonic finite elements

Simulation of the large signal behaviour of piezoelectric transducers requires knowledge of the material parameter curves in dependence of the electric field and/or the mechanical strain. In this paper we propose a method for identifying the elasticity coefficients, the dielectric coefficients and the piezoelectric coupling coefficients by fitting simulations of the piezoelectric partial differential equations to measured data (voltage current measurements). For this purpose. we develop a formulation of the identification problem in the frequency domain via a multiharmonic ansatz for the displacements and the electric potential. Parameter reconstructions from measurements of Pz27 (Ferroperm Limited) material are supposed to demonstrate applicability of the methodology.