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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (10): 1216-1224.

• 论文 • 上一篇    下一篇

CONSERVATION LAW AND APPLICATION OF J-INTEGRAL IN MULTI-MATERIALS

王利民1,2, 陈浩然3, 徐世烺2   

  1. 1. Department of Mechanics, Shandong Institute of Technology, Zibo 255012, P. R. China;
    2. Department of Civil Engineering, Dalian University of Technology, Dalian 116024, P. R. China;
    3. Department of Engineering M echanics, Dalian University of Technology, Dalian 116024, P. R. China
  • 收稿日期:1999-07-01 修回日期:2001-05-21 出版日期:2001-10-18 发布日期:2001-10-18
  • 基金资助:
    the National Natural Science Foundation of China(19672014,59625814)

CONSERVATION LAW AND APPLICATION OF J-INTEGRAL IN MULTI-MATERIALS

WANG Li-min1,2, CHEN Hao-ran3, XU Shi-lang2   

  1. 1. Department of Mechanics, Shandong Institute of Technology, Zibo 255012, P. R. China;
    2. Department of Civil Engineering, Dalian University of Technology, Dalian 116024, P. R. China;
    3. Department of Engineering M echanics, Dalian University of Technology, Dalian 116024, P. R. China
  • Received:1999-07-01 Revised:2001-05-21 Online:2001-10-18 Published:2001-10-18
  • Supported by:
    the National Natural Science Foundation of China(19672014,59625814)

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摘要： The conservation law of J-integral in two-media with a crack paralleling to the interface of the two media was firstly proved by analytical and numerical finite element method. Then a schedule model was established that an interface crack is inserted in four media. According to the J-integral conservation law on multi-media, the energy release ratio of Ⅰ-type crack was considered to be conservation when the middle medium layers are very thin. And the conservation law was also convinced by numerical method. By means of the dimension analysis on the model, the asymptotic results and formula calculating the energy release ratio and complex stress intensity factor are presented.

Abstract: The conservation law of J-integral in two-media with a crack paralleling to the interface of the two media was firstly proved by analytical and numerical finite element method. Then a schedule model was established that an interface crack is inserted in four media. According to the J-integral conservation law on multi-media, the energy release ratio of Ⅰ-type crack was considered to be conservation when the middle medium layers are very thin. And the conservation law was also convinced by numerical method. By means of the dimension analysis on the model, the asymptotic results and formula calculating the energy release ratio and complex stress intensity factor are presented.

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