Line field analysis and complex variable method for solving elastic-plastic fields around an anti-plane elliptic hole  

作　　者：GUO JunHong LU ZiXing 

机构地区：[1]Institute of Solid Mechanics, Beihang University, Beijing 100191, China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2011年第8期1495-1501,共7页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10932001 and 11072015);the Scientific Research Key Program of Beijing Municipal Commission of Education (Grant No. KZ201010005003);the PhD Innovative Foundation of Beihang University (Grant No. 300351)

摘　　要：A new approach is proposed to solve the elastic-plastic fields near the major-axis line of an elliptical hole. The complex variable method is used to determine the elastic fields near the major-axis line of the elliptical hole. Then, by using the line field analysis method, the exact and new solutions of the stresses, strains in the plastic zone, the size of the plastic region and the unit normal vector of the elastic-plastic boundary near the major-axis line of the elliptical hole are obtained for an anti-plane elliptical hole in a perfectly elastic-plastic solid. The usual small scale yielding assumptions are not adopted in the analysis. The present method is simple, easy and efficient. The influences of applied mechanical loading on the size of plastic zone are discussed.A new approach is proposed to solve the elastic-plastic fields near the major-axis line of an elliptical hole. The complex variable method is used to determine the elastic fields near the major-axis line of the elliptical hole. Then, by using the line field analysis method, the exact and new solutions of the stresses, strains in the plastic zone, the size of the plastic region and the unit normal vector of the elastic-plastic boundary near the major-axis line of the elliptical hole are obtained for an anti-plane elliptical hole in a perfectly elastic-plastic solid. The usual small scale yielding assumptions are not adopted in the analysis. The present method is simple, easy and efficient. The influences of applied mechanical loading on the size of plastic zone are discussed.

关 键 词：complex variable method line field analysis method elliptical hole elastic-plastic solid 

分 类 号：O343.4[理学—固体力学] TU452[理学—力学]