从能量的角度出发,运用本构方法,以热力学唯象理论为基础,通过对压电陶瓷晶体Helmholtz自由能关系进行推导而得出压电晶体的电场强度E与极化强度P的本构关系。与实验结果的对比分析表明,所推导的E—P本构关系能够较为准确地在宏观上描述压电陶瓷晶体的迟滞特性。最后结合实验数据和E—P迟滞曲线对压电陶瓷晶体的Helmholtz自由能和电滞回线进行了分析和讨论。
Based on the thermodynamics phenomenological theory, a hysteresis constitutive relation of the electric field (E) and polarization (P) was deduced by analyzing the Helmholtz free energy relation of piezoceramic. The experimental hysteresis curve were compared with the academic calculation. The results presented in the hysteresis constitutive relation can describe accurately the hysteretic behavior on a macro-scale. Additionally, the Helmholtz free energy and hysteretic loop were discussed by analyzing experimental data and curves.