基于电饱和模型的裂纹端部应力场分析

在非线性电弹性理论构架内，采用电饱和条带模型和复变函数方法，探讨了远场均匀载荷作用下无限大压电介质中裂尖附近的应力场，主要关注裂尖附近的应力场。所得解表明，裂尖附近任意一点处的各规格化应力分量均仅由这一点的角度决定，而与该点到坐标原点的距离无关。最后，基于PZT-5H的数值结果对其裂尖附近各面内的应力分量进行了分析，与相关研究结果比较，本文方法得到的解是有效的。

ANALYSIS OF STRESS FIELD NEAR CRACK TIP BASED ON ELECTRIC SATURATION MODEL

Within the framework of nonlinear electroelasticity,the stress field near to the crack tip in an infinite piezoelectric media subject to a far field uniform loading is studied by using an electrical strip saturation model and the complex variable method.And the emphasis is placed on the stress field near to the crack tip.The obtained solutions show that the normalized stress components at an arbitrary point near to the crack tip are determined by the angle of the point.Moreover,the stress components are independent of the distance from the point to the origin of the coordinate.The distributions of in-plane stress components near to the crack tip are analyzed based on numerical results for PZT-5H.Compared with some related solutions,results show that the solutions are valid.