Steel and Composite Structures

Techno-Press (테크노프레스)
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Stress fields on an isotropic semi-infinite plane with a circular hole subjected to arbitrary loads using the constraint-release technique

  • Tsutsumi, Takashi (Department of Civil Engineering, Kagoshima National College of Technology) ;
  • Sato, Keiji (Department of Civil Engineering, Oita Technical High School) ;
  • Hirashima, Ken-Ichi (Department of Civil and Environmental Engineering, Yamanashi University) ;
  • Arai, Hiroshi (Department of General Education, Fukushima National College of Technology)
  • Received : 2001.09.17
  • Accepted : 2002.07.15
  • Published : 2002.08.25
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Abstract

In this paper, the solution of a semi-infinite plane with one circular hole is presented. This solution is induced by repeatedly superposing the solution of an infinite plane with one circular hole and that of a semi-infinite plane without holes to cancel out the stresses arising on both boundaries. This procedure is carried out until the stresses arising on both boundaries converge. This method does not require complicated calculation procedures as does the method using stress functions defined in a bipolar coordinate system. Some numerical results are shown by graphical representations.

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References

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  2. Optimum Design of Infinite Perforated Orthotropic and Isotropic Plates vol.8, pp.4, 2002, https://doi.org/10.3390/math8040569