Dynamic Stress of a Circular Cavity Buried in a Semi-Infinite Functionally Graded Material Subjected to Shear Waves
Dynamic Stress of a Circular Cavity Buried in a Semi-Infinite Functionally Graded Material Subjected to Shear Waves
复制标题
DOI：
10.1115/1.2712238
复制
发表时间：
2007-09
期刊：
影响因子：
--
通讯作者：
X. Fang;Chao Hu;S. Du
中科院分区：
文献类型：
--
作者：
X. Fang;Chao Hu;S. Du
研究了具有圆形孔洞的半无限功能梯度材料中剪切波和动应力的多重散射问题，得到了该问题的解析解。用波函数展开法表示波场的解析解，并在满足空腔边界条件的情况下确定展开模系数。采用镜像法满足材料结构的无牵引力边界条件。作为算例，还给出了孔洞周围动应力集中系数的数值解。分析了孔洞埋深、入射波数和材料的非均匀参数对动应力集中系数的影响。分析表明，当材料的非均质参数为0时，对最大动应力和孔洞周围的动应力分布都有较大的影响，特别是在埋深较小时。
The multiple scattering of shear waves and dynamic stress in a semi-infinite functionally graded material with a circular cavity is investigated, and the analytical solution of this problem is derived. The analytical solutions of wave fields are expressed by employing the wave function expansion method, and the expanded mode coefficients are determined by satisfying the boundary condition of the cavity. The image method is used to satisfy the traction-free boundary condition of the material structure. As an example, the numerical solution of the dynamic stress concentration factors around the cavity is also presented. The effects of the buried depth of the cavity, the incident wave number, and the nonhomogeneity parameter of materials on the dynamic stress concentration factors are analyzed. Analyses show that when the nonhomogeneity parameter of materials is 0, it has greater influence on both the maximum dynamic stress and the distribution of dynamic stress around the cavity, especially in the case that the buried depth is comparatively small.