含中心裂纹压电体的二维精确解

解析地研究了含中心裂纹的压电体，它在无穷远处承受机电载荷，并在裂面上满足由Parton和Kudryavtsev以及Hao和Shen提出的绝对电边界条件。在平面应变假设下，给出其二维精确解，并提供了机械应变能释放率和裂尖能量释放率等数值结果。考虑工业应用范围之内常用的远场载荷时，由绝对电边界条件得出的能量释放率表现出明显的非线性特征及载荷相关性，而不是完全与电场无关，这一结论与Xu和Rajapakse在较小载荷下得到的规律不同。

Two Dimensional Analytical Solution for Piezoelectric Body with Central Crack

A piezoelectric body with a central crack is investigated analytically, which is applied to mechanical-electric loads at infinty and imposed a absolute electric boundary condition on the crack surface. The two dimensional accurate solution is obtained on plane strain assumption, the numerical results of strain energy release rate and crack tip energy release rate are presented. Under relatively higher loads of practical interest, the energy release rate shows significant non-linear features and load-dependency, which is quite different from the conclusions under the lower loads.