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The antiplane problem of double period non-uniform distribution crack field

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Abstract

Originating from Robert Hooke's law and equilibrious equations, and using the theory of the complex variable function, this paper transfers the rectaugle region in which the cracks emerge into upper-half part of ζ plane by means of conformal mapping. Then according to the theory of ref. [1]. We find the solution in closed form, thereby the stress intensity factors are derived.

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References

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    Hao Tian-hu, A closed form solution for the antiplane problem of the double period cracks.Journal of Qinghua University,19, 3 (1979). (in Chinese)

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Communicated by Chien Wei-zang.

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Tian-hu, H., Ji-da, C. & Jia-sheng, Y. The antiplane problem of double period non-uniform distribution crack field. Appl Math Mech 6, 185–191 (1985). https://doi.org/10.1007/BF01874956

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Keywords

  • Mathematical Modeling
  • Stress Intensity
  • Intensity Factor
  • Stress Intensity Factor
  • Closed Form