平面V形切口应力奇性指数分析(英文)  

Determining stress singularity exponents of plane V-notches in bonded bimaterial

作　　者：牛忠荣[1] 葛大丽[1] 程长征[1] 胡宗军[1] 

机构地区：[1]合肥工业大学土木建筑工程学院,安徽合肥230009

出　　处：《中国科学技术大学学报》2008年第3期314-319,共6页JUSTC

基　　金：Supported by the Doctorial Program Foundation of the Ministry of Education(20050359009);the Natural Science Foundation of Anhui Province(050440503).

摘　　要：对于一般的V形切口结构,其切口尖端区域存在强的应力集中.基于切口尖端附近区域渐近应力场的假设,提出将线弹性理论控制方程转换成一组常微分方程特征值问题.然后采用插值矩阵法数值计算该常微分方程特征值问题,从而得到V形切口的各阶应力奇性指数.算例显示该方法是分析V形切口应力奇异指数的一个准确、有效的路径.A new numerical method is proposed to determine the singularity orders of plane V- notch problems. Based on the assumption of asymptotic displacement field near the V-notch tip, the governing equations of the elastic theory were transformed into the eigenvalue problems of ordinary differential equations （ODEs） around the notch tip. Then the interpolating matrix method was further employed numerically to analyze the general eigenvalue problems of ODEs. Thus, the values of the singularity orders of the V-notches were determined through solving the corresponding ODEs by the interpolating matrix method. Two examples are given to illustrate the accuracy and effectiveness of the method.

关 键 词：应力奇异指数 插值矩阵法 V形切口 

分 类 号：O328[理学—一般力学与力学基础]