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Conservation Law and Application of J-Integral in Multi-Materials

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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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Authors and Affiliations

  1. Department of Mechanics, Shandong Institute of Technology, Zibo, 255012, P R China

    Li-min Wang

  2. Department of Civil Engineering, Dalian University of Technology, Dalian, 116024, P R China

    Li-min Wang & Shi-lang Xu

  3. Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, P R China

    Hao-ran Chen

Authors
  1. Li-min Wang
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  2. Hao-ran Chen
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  3. Shi-lang Xu
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Wang, Lm., Chen, Hr. & Xu, Sl. Conservation Law and Application of J-Integral in Multi-Materials. Applied Mathematics and Mechanics 22, 1216–1224 (2001). https://doi.org/10.1023/A:1016357619318

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  • DOI: https://doi.org/10.1023/A:1016357619318

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