半空间可移动刚性圆柱对SH波散射及动应力集中  

SCATTERING OF SH-WAVES AND DYNAMIC STRESS CONCENTRATION BY MOVING RIGID CYLINDER IN HALF SPACE

作　　者：杨在林[1,2] 刘殿魁 孙柏涛[2] 许美娟[1] 

机构地区：[1]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001 [2]中国地震局工程力学研究所,黑龙江哈尔滨150080

出　　处：《工程力学》2009年第4期51-56,共6页Engineering Mechanics

基　　金：黑龙江省自然科学基金项目(A0206)

摘　　要：应用复变函数、多极坐标方法研究弹性半空间中界面附近可移动刚性圆柱形夹杂对SH波散射与动应力集中问题。利用SH波散射的对称性质和多极坐标方法构造散射波,该散射波能自动满足含可移动刚性圆柱的弹性半空间自由表面上应力为零的边界条件,应用可移动圆柱形刚性夹杂的运动条件来确定该散射波。可将求解可移动圆柱形刚性夹杂的散射问题归结为求解一个无穷代数方程组,并采用截断有限项的方法对其进行求解。从而得到含夹杂的半空间对SH波散射的位移场和应力场,给出夹杂周边的动应力集中系数的表达式,针对具体算例讨论了各种参数对夹杂周边动应力集中系数的影响。The scattering of SH wave and the dynamic stress concentration by a moving rigid cylinder in an elastic half space are studied with complex functions and multi-polar coordinate method. The scattering wave which satisfies the condition of stress free on the ground surface of a half space containing a moving rigid cylinder impacted by incident steady SH-wave is constructed by the base of the symmetry of SH-wave scattering and the method of multi-polar coordinate system. By taking the advantages of the boundary conditions around the moving rigid cylinder, the solution of the problem can be simplified as a series of algebraic equations which can be solved numerically by trtmcating the finite terms of the infinite algebraic equations. Thus expressions of displacement and stress are established while the moving rigid cylinder in the half space is in existent and the expression of dynamic stress concentration factors （DSCF） around the inclusion is given. Finally, the influencing factors to the problem are discussed through some actual examples.

关 键 词：固体力学 SH波散射 复变函数 多极坐标 动应力集中 可移动刚性圆柱 

分 类 号：O343.4[理学—固体力学] O347.3[理学—力学]