Abstract In this paper, the influence of the dynamic stress concentration in a piezoelectric material with a non-circular hole subjected to a shear wave polarized so that its particle motion and direction of propagation are aligned in a horizontal plane (SH-wave) is investigated. The boundary conditions of the non-circular hole can be mapped into a unit circle by applying complex variables and conformal mapping. The analytical solution of the dynamic stress concentration factor is determined by the unknown mode coefficients obtained by using the boundary conditions. Numerical examples are presented to analyze the influence of the incident wave number, piezoelectric constant of the material, and eccentricity ratio of the hole on the distribution of the dynamic stress concentration factor. The analysis reveals that the distribution of the dynamic stress concentration factor on the incident direction of the SH-wave is significantly different from that on the other side.

中文翻译：

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受 SH 波影响的具有非圆形孔的压电材料中的动态应力集中

摘要 本文研究了具有非圆形孔的压电材料中的动态应力集中对剪切波极化的影响，使其粒子运动和传播方向在水平面（SH波）中对齐。 . 通过应用复变量和保角映射，可以将非圆形孔的边界条件映射为单位圆。动态应力集中因子的解析解由使用边界条件获得的未知模态系数确定。数值算例分析了入射波数、材料压电常数、孔偏心比对动应力集中因子分布的影响。