Investigation of SH wave scattering by inclusions in bi-material half space is an important issue in engineering. The purpose of this work is to study the dynamic response of a semi-circle inclusion embedded in bi-material half space surface by SH wave. Graf's addition theorem, Green function method and region-matching technique are used to determine the displacement fields in the bi-material half space and the inclusion. The distributions of dynamic stress concentration factor (DSCF) around the semi-circle inclusion are depicted graphically considering different material parameters. The results show that the frequency and the incidence angle of SH wave, the rigidities of the inclusion and bi-material half space, and the distance from the inclusion to the interface have a great effect on the distribution of DSCF around the inclusion.

中文翻译：

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嵌入双材料半空间表面的半圆夹杂物对 SH 波的散射

双材料半空间中夹杂物对SH波散射的研究是工程中的一个重要问题。这项工作的目的是研究 SH 波嵌入双材料半空间表面的半圆夹杂物的动态响应。格拉夫加法定理、格林函数法和区域匹配技术被用来确定双材料半空间和夹杂物中的位移场。考虑到不同的材料参数，以图形方式描绘了半圆夹杂物周围的动态应力集中因子 (DSCF) 的分布。结果表明，SH波的频率和入射角、夹杂物和双材料半空间的刚度以及夹杂物到界面的距离对夹杂物周围的DSCF分布有很大影响。