弹性半平面中边界裂纹研究的新方法  

A new method studying the edge crack problem on an elastic half plane

作　　者：杨臻[1] 牛莉莎[1] 

机构地区：[1]清华大学工程力学系教育部破坏力学重点实验室,北京100084

出　　处：《计算力学学报》2007年第1期35-39,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10276020;50371042);国家重点基础研究发展计划(973)(2004CB619304)资助项目

摘　　要：讨论了载荷作用在裂纹面上的弹性半平面边界裂纹问题。研究以线弹性断裂力学为基础,采用复变函数方法以及Riemann-Hilbert(R-H)边值问题的一般理论,将问题分拆为含有限裂纹的全平面问题与无裂纹的半平面问题的叠加,计算得到裂纹尖端的应力强度因子。与文献结果比较,该方法具有精度高的优点。A semi-infinite plane problem with an edge crack is discussed based on the principle of linear elastic fracture mechanics.Arbitrarily distributed forces are imposed upon the crack surfaces.By means of the complex variable function method and the generalized Riemann-Hilbert boundary value problem theory,this problem can be transformed into the superposition of an infinite plane problem with a finite crack and a semi-infinite plane problem without cracks.The stress intensity factor at the crack tip is obtained.This method manifests the merit of high accuracy by comparing with the results in literatures.

关 键 词：边界裂纹 复变函数方法 RIEMANN-HILBERT边值问题 应力强度因子 

分 类 号：O346.1[理学—固体力学]