无限长带形域内圆孔的反平面响应  

ANTI-PLANE RESPONSES OF CIRCULAR CAVITY IN INFINITE BAND DOMAIN

作　　者：史文谱[1,2] 高伊韬 

机构地区：[1]烟台大学机电汽车工程学院,烟台264005 [2]山东省高校先进制造与控制技术重点实验室,烟台264005

出　　处：《机械强度》2015年第2期214-218,共5页Journal of Mechanical Strength

基　　金：山东省科技攻关项目(2012G0030011);国家青年基金项目(11202179)资助~~

摘　　要：无限大带形区域内含圆孔的弹性波散射问题,由于涉及到两条直边界,在理论研究上一直是没有解决的问题,而只能借助于数值求解的办法。利用复变函数法、虚源法和Graf加法公式给出了该问题的散射波解析解,它能够预先满足两条边界上的应力自由条件,利用圆孔边界处的应力边界条件和傅立叶级数展开来确定散射波函数中的未知系数,从而确定出带形区域内的波场,最后通过一个算例计算了圆孔边界处的环向动应力集中系数,说明了文中结论和算法的正确性。The elastic wave scattering problem of circular cavity in infinite band domain has no been solved because of the existence of the two straight line boundaries which can only be solved with the help of numerical method before. In this paper, complex function method and virtual source method and Graf addition formulae are used to study this problem and the analytical solution of the scattering waves can be given, which can satisfy the stress free boundaries of the two boundaries, the unknown coefficients in the scattering wave functions can be obtained by using the boundary condition of the circular cavity and Fourier series expansion technology, then the wave fields of the band domain can be determined, the results of the given numerical example about the dynamical stress concentration factors on the circular cavity boundary show the rightness of the conclusions and the algebraic.

关 键 词：带形域 圆孔 反平面响应 复变函数法 应力集中系数 

分 类 号：O347.41[理学—固体力学]