摘要
为研究无限大指数梯度材料中孔洞对反平面剪切波的散射,以实际工程中梯度材料不连续结构处在动载荷作用下的应力问题为背景,基于弹性动力学理论,采用波函数展开法,结合数值分析,计算无限大功能梯度材料中圆孔对反平面剪切波的散射和动应力集中,得到问题的解析解,给出圆孔动应力集中因数的数值解,分析入射波数以及材料非均匀参数对动应力集中因数的影响.分析表明:梯度材料的非均匀参数对孔洞周围动应力集中因数的值和分布有很大影响,反平面剪切波的入射波数也是影响动应力的重要因素.
To study the scattering of anti-plane around the cavity of infinite exponentially graded material, the stress issues at the discontinuous structure of graded material under the effect of dynamic load is taken as the study background. Based on the elastic dynamics theory, the wave function expansion method and the numerical analysis are used to calculate the scattering and dynamic stress concentration of anti-plane around the circular cavity of infinite exponentially graded material, the analytical solution to the problem is obtained, and the numerical solution to the dynamic stress concentration factor around the cavity is presented, and the effect of the incident wave number and the heterogeneous parameter of materials on the dynamic stress concentration factor is analyzed. The analysis indicates that the heterogeneous parameter of graded materials has great influence on the distribution and value of dynamic stress factor around cavity, and the incident wave number of anti-plane shear wave is also an important influence factor on the dynamic stress.
出处
《计算机辅助工程》
2010年第2期75-78,共4页
Computer Aided Engineering
关键词
指数梯度材料
剪切波散射
动应力集中
exponentially graded material
scattering of shear wave
dynamic stress concentration
