SH波入射下半空间垂直界面附近对称圆孔的动应力分析  

Dynamic Stress Analysis for Symmetrical Circular Holes Near Vertical Interface Impacted by SH Waves in Bi-material Half Space

作　　者：杨杰[1] 

机构地区：[1]上海电机学院机械学院,上海200245

出　　处：《上海电机学院学报》2013年第5期262-267,284,共7页Journal of Shanghai Dianji University

基　　金：国家自然科学基金项目资助(10972064);上海电机学院重点学科资助(12xk501)

摘　　要：采用复变函数和"镜像"的方法,对双相介质半空间垂直界面附近含有对称圆形弹性孔洞,在稳态入射SH波作用下的动应力情况进行分析。首先,采用"镜像"的方法,构造问题所需的Green函数和散射波场表达式;其次,采用界面"契合"的技术,建立含有无穷未知力的第一类Fredholm积分方程组,并通过有效截断求解该方程组;最后,给出圆形孔洞周边的动应力集中系数的具体算例分析。结果显示,波数比和圆孔到垂直边界的距离均对孔洞周边动应力集中系数有一定程度的影响。A dynamic stress analysis for symmetrical circular holes near a vertical interface in a hi-material half space is performed using a methods of complex function and image. Expressions of Green＇s functions and scattering waves are obtained with the aid of an image method. A series of Fredholm integral equations containing unknown forces are derived using an interface conjunction. The equations are solved using an effective truncation. Numerical examples for dynamic stress concentration around the edge of the circular hole are given. Numerical results demonstrate that the distribution of the dynamic stress concentration factor is influenced to some degree by the wave number ratio and distance between the circular hole and the vertical interface.

关 键 词：SH波 垂直界面 圆形孔洞 镜像 动应力集中系数 

分 类 号：O347.4[理学—固体力学] O348[理学—力学]