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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (09): 1125-1140.doi: https://doi.org/10.1007/s10483-010-1348-7

• Articles • 上一篇    下一篇

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

刘又文1,2 谢超1,2 江纯志1,2,3 方棋洪1,2   

  1. 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
  • 收稿日期:2010-03-11 修回日期:2010-06-24 出版日期:2010-09-01 发布日期:2010-09-01

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

LIU You-Wen1,2, XIE Chao1,2, JIANG Chun-Zhi1,2,3, FANG Qi-Hong1,2   

  1. 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
  • Received:2010-03-11 Revised:2010-06-24 Online:2010-09-01 Published:2010-09-01

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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 interfacial stresses generated by eigenstrain, remote load and concentrated load are studied. The results show that the stress concentration and interfacial stresses can be reduced by rational material combinations and geometric configurations designs for different load forms.

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 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 interfacial stresses generated by eigenstrain, remote load and concentrated load are studied. The results show that the stress concentration and interfacial stresses can be reduced by rational material combinations and geometric configurations designs for different load forms.

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