Modeling of nonlinear behavior of polyrcystalline lead-free piezoceramics with a content of tetragonal, rhombohedral and orthorhombic phases under cyclic loading

The micromechanical model proposed by analogy with crystal visco-plasticity and taking into account the volume fraction of tetragonal, rhombohedral and orthorhombic ferroelectric phases is used for the simulation of hysteresis behavior of lead-free piezoceramics. The model parameters identification is considered and discussed. The results of simulation demonstrate a good agreement with the experimental data for a wide range of cyclic electrical loading amplitudes.