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On J-integrals in the plane fracture

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Abstract

In this-paper, we discuss J-integrals near models I and II crack tips for the plates of linear-elastic isotropic homogeneous material and orthotropic composite material, using the theories of complex function and calculus, and obtain the result as follows:

  1. (1)

    The various J-integrals are transformed into standard form of line integrals with respect to coordinates:

    $$J = \int\limits_r {p(x,y)dx + Q(x,y)dy} $$
  2. (2)

    Independence of path of the various J-integrals is proved.

  3. (3)

    Computing formulae of J-integrals are derived.

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References

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Authors and Affiliations

  1. Taiyuan Heavy Machinery Institute, Taiyuan

    Yang Wei-yang & Zhang Shao-qin

  2. Baotou Railroad TV University, Baotou

    Chen Hua-cai

Authors
  1. Yang Wei-yang
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  2. Zhang Shao-qin
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  3. Chen Hua-cai
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Wei-yang, Y., Shao-qin, Z. & Hua-cai, C. On J-integrals in the plane fracture. Appl Math Mech 11, 595–604 (1990). https://doi.org/10.1007/BF02016345

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  • DOI: https://doi.org/10.1007/BF02016345

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