畴极化转动对多晶铁电材料断裂特性的影响

A Micromechanics Method to Study the Effect of Domain Switching on Fracture Behavior of Polycrystalline Ferroelectric Ceramics

主要基于细观力学方法揭示了畴极化转动对多晶铁电陶瓷的各向异性断裂特性的平均影响· 首先,用Eshelby＿Mori＿Tanaka理论和统计模型分析了无穷大铁电材料体中一椭球夹杂的内、外电弹性场,得到畴极化转动对电弹性场的平均影响;其次,推导了等效多晶铁电陶瓷中含一钱币状裂纹的裂纹扩展力(能量释放率)Gext,并用它估计了畴极化转动对多晶铁电陶瓷断裂特性的影响· 对BaTiO3陶瓷中裂纹扩展力的计算结果表明,对多晶铁电材料断裂特性分析必须考虑畴极化转动的影响· 计算结果得出了与实验相一致的结论:在受较小的力时,外加电场对裂纹扩展产生较大的影响。

The effect of domain switching on anisotropic fracture behavior of polycrystalline ferroelectric ceramics was revealed on the basis of the micromechanics method. Firstly, the electroelastic field inside and outside an inclusion in an infinite ferroelectric ceramics is carried out by the way of Eshelby_Mori_Tanaka's theory and a statistical model, which accounts for the influence of domain switching. Further, the crack extension force (energy_release rate) Gext for a penny_shape crack inside an effective polycrystalline ferroelectric ceramics is derived to estimate the averaged effect of domain switching on the fracture behavior of polycrystalline ferroelectric ceramics. The simulations of the crack extension force for a crack in a BaTiO3 ceramics are shown that the effect of domain switching must be taken into consideration while analyzing the fracture behavior of polycrystalline ferroelectric ceramics. These results also demonstrate that the influence of the applied electric field on the crack propagation is more profound at smaller mechanical loading and the applied electric field may enhance the crack extension in a sense, which are consistent with the experimental results.