Steel and Composite Structures

  • 제2권4호
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  • Pages.237-246
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  • 2002
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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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)
  • 투고 : 2001.09.17
  • 심사 : 2002.07.15
  • 발행 : 2002.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

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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참고문헌

  1. Hetenyi, M. (1960), "A method of solution for the elastic quarter-plane", J. Appl. Mech., 27, 289-296. https://doi.org/10.1115/1.3643954
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  4. Mindlin, R. D.(1939), "Stress distribution around a tunnel", Proc. A.S.C.E., 65(4), 619-642.
  5. Moriguchi, S. (1957a), Two Dimensional Elasticity, (in Japanese), Iwanami. Pub.
  6. Tamate, O. (1957b), "The effect of a circular hole on the pure twist of an infinite strip", J. Appl. Mech., 24, 115-121.
  7. Tamate, O. (1959), "Transverse flexure of a thin plate containing two circular holes", J. Appl. Mech. 26, 55-60.
  8. Tsutsumi, T. and Hirashima, K. (1997a), "Analysis of anisotropic elliptic ring by using constraint-release technique" (in Japanese), Trans. of JSME Seriese A, 63(615), 2411-2416. https://doi.org/10.1299/kikaia.63.2411
  9. Tsutsumi, T. and Hirashima, K. (2000), "Analysis of orthotropic circular disks and rings under diametrical loadings", Struct. Eng. Mech., 9(1), 37-50. https://doi.org/10.12989/sem.2000.9.1.037
  10. Verruijt, A. (1997b), "A complex variable solution for a deforming circular tunnel in an elastic half-plane", Int. J. Num. Analytical Meth. Geomech., 21, 77-89. https://doi.org/10.1002/(SICI)1096-9853(199702)21:2<77::AID-NAG857>3.0.CO;2-M

피인용 문헌

  1. 無限遠からの応力を受けた一円孔を有する半無限板の応力・変位場 vol.55, pp.4, 2006, https://doi.org/10.2472/jsms.55.397
  2. Optimum Design of Infinite Perforated Orthotropic and Isotropic Plates vol.8, pp.4, 2002, https://doi.org/10.3390/math8040569