This paper aims to develop an effective method for the dynamic fracture analysis of permeable interfacial cracks emanating from a circular cavity in two dissimilar functionally graded piezoelectric materials (FGPMs) under anti-plane incident SH-wave. The material properties vary exponentially in the same manner along the direction perpendicular to the interface. Green function method, coordinate transformation method, conjunction and crack-deviation techniques are adopted to build mathematical model, so that the crack problem is reduced to solving a set of the first kind of Fredholm’s integral equations and the dynamic stress intensity factors (DSIFs) are expressed theoretically. A comparison is accomplished between the model in this paper and the model with a Griffith crack in FGPMs to verify the validity of the present method. Parametric studies reveal the dependence of DSIFs on the geometry of cavity and cracks, the characteristics of incident wave and the inhomogeneity of materials.

本文旨在开发一种有效的方法，对两种不同功能梯度压电材料（FGPM）在反平面入射SH波作用下从圆形腔中产生的渗透性界面裂纹进行动态断裂分析。材料特性沿垂直于界面的方向以相同的方式呈指数变化。采用格林函数法，坐标变换法，合点法和裂纹偏离技术建立数学模型，从而将裂纹问题简化为求解第一类Fredholm积分方程组，并建立了动态​​应力强度因子（DSIF）。理论上表达。通过对本文模型与FGPM中具有Griffith裂纹的模型进行比较，验证了该方法的有效性。