梯度材料中任意形孔对反平面剪切波散射与动应力  

SCATTERING OF ANTI-PLANE SHEAR WAVES AND DYNAMIC STRESS CONCENTRATIONS IN EXPONENTIALLY GRADED MATERIALS WITH A CAVITY

作　　者：赵磊 胡超[1,3] 

机构地区：[1]同济大学航空航天与力学学院,上海200092 [2]航天科工集团公司三十一所,北京100074 [3]扬州大学建筑科学与工程学院,扬州225127

出　　处：《工程力学》2012年第9期87-91,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(10572045)

摘　　要：该文基于弹性动力学理论,采用复变函数与保角映射方法,研究了指数梯度材料中任意形孔洞对弹性波的散射与动应力集中,给出了问题的解析解。并以求解椭圆孔动应力集中系数为例,分析了入射波数和材料非均匀参数等对椭圆孔动应力分布的影响。Based on elastodynamics, employing the complex function and conformal mapping method, elastic wave scattering and dynamic stress concentrations in exponentially graded materials with a cavity of arbitrary shape have been investigated and an analytical solution of the problem has been derived.The numerical results of the dynamic stress concentration factors around the elliptical cavity are presented as an example. The effects of elastic wave-number and heterogeneous parameters of the materials on the dynamic stress concentration factors are analyzed.

关 键 词：弹性波散射与动应力集中 指数梯度材料 任意形孔洞 复变函数 保角映射方法 

分 类 号：O347.41[理学—固体力学]