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The Crack-Inclusion Interaction and the Analysis of Singularity for the Horizontal Contact

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Abstract

Using the basic solutions of a single crack and a single inclusion, and making use of the principle of linear superposition of elastic mechanics, the interaction problem between a planar crack and a flat inclusion in an elastic solid is studied. The problem is reduced to solve a set of standard Cauchy-type singular equations. And the stress intensity factors at points of crack and inclusion were obtained. Besides, the singularity for the horizontal contact of crack and inclusion was analyzed. The calculating model put forward can be regarded as a new technique for studying the crack and its expanding caused by inclusion tip. Then several numerical examples are given.

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References

  1. Dundurs J. Elastic Interaction of Dislocations with Inhomogeneities[A]. In: T Mura Ed. Mathematical Theory of Dislocations[C]. T Mura Ed. New York: ASME,1969,70–115.

    Google Scholar 

  2. Chen Y H, Hahn H G. The stress singularity coefficient at infinite rigid flate inclusion in an orthotropic plane elastic body[J]. Engng Fracture Mech,1993,44(3):359–362.

    Google Scholar 

  3. ZHANG Ming-huan. Engineering mechanics theory of plane and anti-plane line inclusion[D]. Doctoral theisis. Shanghai: Shanghai Jiaotong University,1994. (in Chinese)

    Google Scholar 

  4. FAN Tian-you. The Fundamental of Crack Mechanics[M]. Nanjing: Jiangsu Science Technology Publishing House,1978. (in Chinese)

    Google Scholar 

  5. LU Jian-ke. The Boundary Problem of Holomorphic Function [M]. Shanghai: Shanghai Science Technology Publishers,1978. (in Chinese)

    Google Scholar 

  6. Erdogan F. Mixed boundary-value problem in mechanics[A]. In: S. Nemat-Nasser Ed. Mechanics Today[C]. Illinois: Northwestern University, 1978,71–73.

    Google Scholar 

  7. Erodogan F, Gupta G D. Stresses near a flat inclusion in bonded dissimilar[J]. International Journal Solids and Structures,1972,8(2):533–547.

    Google Scholar 

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai, 200030, P R China

    Fang-ming Tao & Ren-ji Tang

Authors
  1. Fang-ming Tao
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  2. Ren-ji Tang
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Tao, Fm., Tang, Rj. The Crack-Inclusion Interaction and the Analysis of Singularity for the Horizontal Contact. Applied Mathematics and Mechanics 22, 547–556 (2001). https://doi.org/10.1023/A:1016311431981

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  • DOI: https://doi.org/10.1023/A:1016311431981

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