Based on the wave function expansion method, the dynamic antiplane characteristics of a wedge-shaped quarter-space containing a circular hole are studied in a complex coordinate system. The wedge-shaped medium is decomposed into two subregions along the virtual boundary using the virtual region decomposition method. The scattering wave field in subregion I is constructed by the mirror method, and the standing wave field in region II is constructed by the fractional Bessel function. According to the continuity conditions at the virtual boundary and the stress-free boundary of the circular hole, the unknown coefficients of the wave fields are obtained by the Fourier integral transform, and the analytical solution of the dynamic stress concentration factor (DSCF) of the circular hole is then obtained. Through parametric analysis, the effects of incident wave frequency, geometry of the wedge, and corner slope on the DSCF of the circular hole are discussed. The results show that when the SH-wave is horizontally incidence at high frequencies, the DSCF of the circular hole can be significantly changed by introducing the corner slope. Moreover, when the corner slope is high, the maximum DSCF can be amplified about 1.2 times. Finally, the back propagation (BP) neural network prediction model of DSCF is established, and the coefficient of regression is found to reach more than 0.99.

中文翻译：

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含圆孔的弹性楔形四分之一空间动态反平面特性分析与预测

基于波函数展开法，研究了包含圆孔的楔形四分之一空间在复坐标系下的动态反平面特性。采用虚区域分解法将楔形介质沿虚边界分解为两个子区域。分区Ⅰ的散射波场采用镜像法构建，分区Ⅱ的驻波场采用分数阶贝塞尔函数构建。根据圆孔虚边界和无应力边界处的连续性条件，通过傅里叶积分变换得到波场的未知系数，得到圆孔的动态应力集中因子（DSCF）的解析解然后得到圆孔。通过参数分析，讨论了入射波频率、楔形几何形状和拐角斜率对圆孔 DSCF 的影响。结果表明，当SH波在高频下水平入射时，引入角斜率可以显着改变圆孔的DSCF。此外，当拐角斜率较高时，最大 DSCF 可放大约 1.2 倍。最后建立了DSCF的反向传播（BP）神经网络预测模型，回归系数达到0.99以上。当拐角斜率较高时，最大DSCF可放大约1.2倍。最后建立了DSCF的反向传播（BP）神经网络预测模型，回归系数达到0.99以上。当拐角斜率较高时，最大DSCF可放大约1.2倍。最后建立了DSCF的反向传播（BP）神经网络预测模型，回归系数达到0.99以上。