Analytical solution for a strained reinforcement layer bonded to lip-shaped crack under remote modeⅢuniform load and concentrated load  

作　　者：刘又文 谢超 蒋纯志 方棋洪 

机构地区：[1]State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University [2]College of Mechanical and Vehicle Engineering,Hunan University [3]Department of Physics and Electronic Information Engineering,Xiangnan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第9期1125-1140,共16页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.10872065 and 50801025);the State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body(No. 60870005);the Doctor Station Fund of Institutions of Higher Learning(No.200805320023)

摘　　要：In this paper, the analytical solution of stress field for a strained reinforcement layer bonded to a lip-shaped crack under a remote mode III uniform load and a concentrated load is obtained explicitly in the series form by using the technical of conformal mapping and the method of analytic continuation. The effects of material combinations, bond of interface and geometric configurations on interfaciai stresses generated by eigenstrain, remote load and concentrated load are studied. The results show that the stress concentration and interfaciai stresses can be reduced by rational material combinations and geometric configurations designs for different load forms.In this paper, the analytical solution of stress field for a strained reinforcement layer bonded to a lip-shaped crack under a remote mode III uniform load and a concentrated load is obtained explicitly in the series form by using the technical of conformal mapping and the method of analytic continuation. The effects of material combinations, bond of interface and geometric configurations on interfaciai stresses generated by eigenstrain, remote load and concentrated load are studied. The results show that the stress concentration and interfaciai stresses can be reduced by rational material combinations and geometric configurations designs for different load forms.

关 键 词：lip-shaped crack strained reinforcement layer concentrated load remote load eigenstrain interfacial stress 

分 类 号：O346.1[理学—固体力学]