提出了一个简单的包含有极化反转及电饱和影响的压电材料的本构模型。在此基础上实施了非线性有限元分析 ,并以局部J积分作为断裂准则 ,导出了作用电场与断裂载荷的关系曲线 ,其趋势与Park和Sun的实验观察现象相一致 A simple constitutive model of piezoelectric material with polarization reversal and electrical saturation is proposed. On this basis, the nonlinear finite element analysis was carried out and the local J integral was taken as the fracture criterion. The relation curve between the applied electric field and the fracture load was deduced. The trend is consistent with the experimental observations by Park and Sun