The hysteresis phenomena of ferroelectric-ferroelastic materials in polarization procedure are investigated. Some assumptions are presented based on published experimental data. The electrical yielding criterion, mechanical yielding criterion, and isotropic hardening model are established. The flow theory in incremental forms in polarization procedure is presented. The nonlinear constitutive law for electrical-mechanical coupling is proposed phenomenologically. Finally, the nonlinear constitutive law expressed in the form of matrices and vectors, which is immediately associated with finite element analysis, is formulated. The finite element calculation and computational results of example problems will be given later.
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