General solutions of plane problem for power function curved cracks  

作　　者：郭俊宏 袁泽帅 卢子兴 

机构地区：[1]Institute of Solid Mechanics,Beihang University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第5期563-570,共8页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.10932001,11072015, and 10761005);the Scientific Research Key Program of Beijing Municipal Commission of Education (No.KZ201010005003);the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20101102110016);the Ph.D.Innovation Foundation of Beijing University of Aeronautics and Astronautics(No.300351)

摘　　要：A new exact and universal conformal mapping is proposed. Using Muskhelishvili＇s complex potential method, the plane elasticity problem of power function curved cracks is investigated with an arbitrary power of a natural number, and the general solutions of the stress intensity factors （SIFs） for mode I and mode II at the crack tip are obtained under the remotely uniform tensile loads. The present results can be reduced to the well-known solutions when the power of the function takes different natural numbers. Numerical examples are conducted to reveal the effects of the coefficient, the power, and the projected length along the x-axis of the power function curved crack on the SIFs for mode I and mode II.A new exact and universal conformal mapping is proposed. Using Muskhelishvili＇s complex potential method, the plane elasticity problem of power function curved cracks is investigated with an arbitrary power of a natural number, and the general solutions of the stress intensity factors （SIFs） for mode I and mode II at the crack tip are obtained under the remotely uniform tensile loads. The present results can be reduced to the well-known solutions when the power of the function takes different natural numbers. Numerical examples are conducted to reveal the effects of the coefficient, the power, and the projected length along the x-axis of the power function curved crack on the SIFs for mode I and mode II.

关 键 词：power function curved crack conformal mapping Muskhelishvili＇s complex potential method stress intensity factor （SIF） plane problem 

分 类 号：O346.1[理学—固体力学]