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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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Authors and Affiliations

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

    Tao Fang-ming & Tang Ren-ji

Authors
  1. Tao Fang-ming
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  2. Tang Ren-ji
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Additional information

Paper from TANG Ren-ji, Member of Editorial of Committee, AMM

Biography: TAO Fang-ming (1969-), Lecturer

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Fang-ming, T., Ren-ji, T. The crack-inclusion interaction and the analysis of singularity for the horizontal contact. Appl Math Mech 22, 547–556 (2001). https://doi.org/10.1007/BF02437744

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  • DOI: https://doi.org/10.1007/BF02437744

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