Analytical solution for a strained reinforcement layer bonded to lip-shaped crack under remote mode Ⅲ uniform load and concentrated load.pdf

Appl. Math. Mech. -Engl. Ed. 31(9), 1125–1140 (2010) Applied Mathematics DOI 10.1007/s10483-010-1348-7 and Mechanics c Shanghai University and Springer-Verlag Berlin Heidelberg 2010 (English Edition) Analytical solution for a strained reinforcement layer bonded to lip-shaped crack under remote mode III uniform load and concentrated load∗ You-wen LIU ()1,2 , Chao XIE ( )1,2 , Chun-zhi JIANG ()1,2,3 , Qi-hong FANG ()1,2 (1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, P. R. China; 2. College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, P. R. China; 3. Department of Physics and Electronic Information Engineering, Xiangnan University, Chenzhou 423000, Hunan Province, P. R. China) (Communicated by Xing-ming GUO) Abstract 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 concen- trated 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 interfacial stresses generated by eigen- strain, remote load and concentrated load are studied. The results show that the stress concentration and interfacial stresses can be reduced by rational material combinations