Thermodynamic Modeling of Hysteresis Effects in Piezoceramics for Application to Smart Structures

摘要

In this study, a set of nonlinear electrothermoelastic constitutive relations was derived to model the electric hysteresis effects in a piezomaterial by following a consistent thermodynamic formulation. The nonlinear constitutive relations are shown to model the experimentally observed hysteresis and butterfly loops with reasonable accuracy. The influence of amplitude and frequency of oscillation of the electric field on the hysteresis loop were analyzed. It is found that increasing the amplitude of the electric field increases the size of the hysteresis loop, indicating an increase in energy loss.