Analytical solutions of cracks emanating from an elliptical hole under shear  

作　　者：Liu Shuhong Duan Shijie 

机构地区：[1]Department of Engineering Mechanics,Shijiazhuang Tiedao University [2]Department of Adult Education,Shijiazhuang Tiedao University

出　　处：《Chinese Journal of Aeronautics》2014年第4期829-834,共6页中国航空学报（英文版）

基　　金：co-supported by Hebei Provincial Natural Science Foundation of China(No.A2011210033);Foundation of Hebei Education Department of China(No.ZH2011116)

摘　　要：Based on the complex variable method, the analytical solutions of stress functions and stress intensity factors（SIFs） are provided for the plane problem of two collinear edge cracks emanating from an elliptical hole in an infinite plate under shear. The stress distribution along the horizontal axis is given in graphical forms, which conforms to Saint-Venant＇s principle. The influences of crack length and ellipse shape on the stress intensity factors are evaluated. Comparing the analytical solutions with finite element method（FEM） results shows good coincidence. These numerical examples show that the present solutions are accurate.Based on the complex variable method, the analytical solutions of stress functions and stress intensity factors（SIFs） are provided for the plane problem of two collinear edge cracks emanating from an elliptical hole in an infinite plate under shear. The stress distribution along the horizontal axis is given in graphical forms, which conforms to Saint-Venant＇s principle. The influences of crack length and ellipse shape on the stress intensity factors are evaluated. Comparing the analytical solutions with finite element method（FEM） results shows good coincidence. These numerical examples show that the present solutions are accurate.

关 键 词：Conformal mapping Cracks HOLE SHEARING Stresses Stress intensity factors 

分 类 号：O346.1[理学—固体力学]