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

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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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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).

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