Dynamic fracture analysis of piezoelectric materials with eccentric defects is an important criterion for the design of piezoelectric components. This work aims to suggest an effective method for the dynamic anti-plane shearing problem of piezoelectric bi-materials with permeable interfacial cracks near an eccentric circular hole. In the paper, Fredholm’s equations are solved via the Green’s function method and the coordinate transformation method. Based on conjunction and crack-deviation techniques, the dynamic stress intensity factors (DSIFs) at the outer and the inner tips of the left crack are expressed analytically. As cases, the effects of the eccentric distance, the piezoelectric parameters, the ratio of the crack length to the hole radius, and the dimensionless wave number of the incident wave are presented graphically.

中文翻译：

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动态入射反平面剪切作用下压电双材料偏心圆孔附近的界面裂纹

具有偏心缺陷的压电材料的动态断裂分析是压电元件设计的重要标准。这项工作旨在提出一种解决偏心圆孔附近具有渗透性界面裂纹的压电双材料动态反平面剪切问题的有效方法。本文通过格林函数法和坐标变换法求解弗雷德霍尔姆方程。基于结合和裂纹偏离技术，解析地表达了左裂纹的内外尖端的动态应力强度因子（DSIF）。视情况，以图形方式显示了偏心距，压电参数，裂纹长度与孔半径的比以及入射波的无量纲波数的影响。