Dynamic anti-plane response of circular inclusion in bi-material structure with interfacial periodic cracks due to the SH wave
Dynamic anti-plane response of circular inclusion in bi-material structure with interfacial periodic cracks due to the SH wave
复制标题
DOI：
10.1080/17455030.2023.2200551
复制
发表时间：
2023-05
影响因子：
--
通讯作者：
Shenling Liu;Junliang Yang;Yue Liu
中科院分区：
文献类型：
--
作者：
Shenling Liu;Junliang Yang;Yue Liu
研究了SH波作用下含界面周期裂纹的双材料结构中圆形夹杂的反平面动力响应。在我们的分析中，我们使用了“连接”技术和绿色的功能方法。双材料结构由两个各向同性弹性直角域组成，该域由圆形弹性夹杂和双材料界面处的一系列周期性裂纹组成。利用界面“拼接”技术，使周期裂纹满足应力自由条件。求解了绿色函数，得到了在直角平面垂直边界上加载的点源位移解。基于双材料界面处的连续性条件，建立了含未知力系的第一类Fredholm积分方程。作为算例，给出了圆形夹杂周围动应力集中系数的分布，并以图形的形式表示。数值结果表明，与单裂纹相比，周期裂纹强化了夹杂物周围的动应力集中情况。
This paper investigates the dynamic anti-plane response of the circular inclusion in the bi-material structure with interfacial periodic cracks due to the SH wave. In our analysis, we use the ‘conjunction’ technology and Green’s function method. The bi-material structure consists of two isotropic elastic right-angle domains consisting of a circular elastic inclusion and a series of periodic cracks at the bi-material interface. The periodic cracks are created to satisfy the free conditions of the stresses by using the interface ‘conjunction’ technology. The Green’s functions are also solved to obtain the displacement solutions of the out-place point source loaded on the vertical boundaries of the right-angle plane. The first Fredholm integral equations with unknown force systems are then established based on the continuity conditions at the bi-material interface. As an example, the distributions of the dynamic stress concentration factor (DSCF) around the circular inclusion are obtained and shown graphically. The numerical results indicate that compared with a single crack having periodic cracks strengthens the situation of the dynamic stress concentration around the inclusion.