半空间中具有非理想界面的圆柱形芯–壳结构对P波的多重衍射

Multiple Diffraction of P Wave by Cylindrical Core-Shell Structure with Non-Ideal Interface in Half Space

摘要: 本文应用波函数展开法分析了半空间中具有非理想界面的圆柱形芯–壳结构对平面P波的多重衍射，得到了动应力集中因子的解析解。采用弹簧模型模拟非理想界面，通过改变材料参数，弹簧系数及入射角度，讨论在不同入射波频率下动应力集中因子的变化情况。结果表明：在纳米尺度下，表面参数对界面处的动应力集中程度有显著影响；增大弹簧的弹性系数时，界面处动应力集中因子与理想界面的动应力集中因子相接近；改变入射波的频率与角度，动应力集中因子也有明显不同。针对不同的实际问题使用不同的弹簧模型模拟不完美界面，可以使问题的研究结果更加精确。

Abstract: In this paper, the wave function expansion method is used to analyze the multiple diffraction of plane P wave by cylindrical core-shell structure with non-ideal interface in half space, and the an-alytical solution of dynamic stress concentration factor is obtained. A spring model is used to sim-ulate the non-ideal interface. By changing the material parameters, spring coefficient and incident angle, the variation of dynamic stress concentration factor at different incident wave frequencies is discussed. The results show that the surface parameters have a significant effect on the dynamic stress concentration at the interface at the nanometer scale. The dynamic stress concentration factor at the interface is close to that at the ideal interface by increasing the elastic coefficient of the spring. When the frequency and angle of incident wave are changed, the dynamic stress con-centration factor is obviously different. Using different spring models to simulate the imperfect interface for different practical problems can make the research results more accurate.