The purpose of this paper is to evaluate the stress concentration at the tip of a permeable interfacial crack near an eccentric elliptical hole in piezoelectric bi-materials under anti-plane shearing. Fracture analysis is performed by Green’s function method and the conformal mapping method, which are used to solve the boundary conditions problem. The mechanical model of the interfacial crack is constructed by interface-conjunction and crack-deviation techniques so that the crack problem is simplified as solving a series of the first kind of Fredholm’s integral equations, from which the dynamic stress intensity factors (DSIFs) at the inner and the outer crack-tips can be derived. The validity of the present method is verified by comparing with a crack emerging from the edge of a circular hole as a reference. Numerical cases reveal parametric dependence of DSIFs on the geometry of eccentric elliptical holes and interfacial cracks, the characteristics of the incident wave, the equivalent piezoelectric elastic modulus and piezoelectric parameters. The results illustrate that the eccentric distance has a great effect on the stress concentration at the crack tip, which may be harmful to the normal service of piezoelectric devices and materials. In addition, the method proposed in this paper can also deal with non-eccentric problems and has wider applicability.

本文的目的是评估压电双材料在反平面剪切作用下偏心椭圆孔附近的渗透界面裂纹尖端的应力集中。断裂分析采用格林函数法和共形映射法进行，用于解决边界条件问题。通过界面结合和裂纹偏离技术构造界面裂纹的力学模型，从而通过求解一系列第一类Fredholm积分方程简化了裂纹问题，从该方程中可以得出动态应力强度因子（DSIF）。可以得出内部和外部的裂纹尖端。通过与作为参考的从圆孔边缘出现的裂纹进行比较，验证了本方法的有效性。数值案例揭示了DSIF对偏心椭圆孔和界面裂纹的几何形状，入射波的特性，等效压电弹性模量和压电参数的参数依赖性。结果表明，偏心距对裂纹尖端处的应力集中有很大影响，这可能对压电器件和材料的正常使用有害。另外，本文提出的方法还可以处理非偏心问题，具有广泛的适用性。结果表明，偏心距对裂纹尖端处的应力集中有很大影响，这可能对压电器件和材料的正常使用有害。另外，本文提出的方法还可以处理非偏心问题，具有广泛的适用性。结果表明，偏心距对裂纹尖端处的应力集中有很大影响，这可能对压电器件和材料的正常使用有害。另外，本文提出的方法还可以处理非偏心问题，具有广泛的适用性。