Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Calculation of Stress Intensity Factor KI Using the Exact Solution in an Infinitely Deep Crack in a Half-Plane

반 무한 평판에 존재하는 반 무한 균열에서 엄밀 해를 이용한 응력확대계수 계산

  • An, Deuk Man (Dept. of Mechanical Engineering, Pusan Nat'l Univ.)
  • 안득만 (부산대학교 기계공학부)
  • Received : 2016.06.23
  • Accepted : 2016.10.31
  • Published : 2017.01.01
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Abstract

In this study, we develop the exact field of mode I in an infinitely deep crack in a half-plane. Using this field, we obtain the exact stress intensity factor $K_{I}$. From the tractions on the crack faces induced by exact field, we calculate the stress intensity factor of this field. We compare the results with the stress intensity factor calculated using Bueckner's weight function formula and that calculated by using Tada's formula listed in "The Stress Analysis of Cracks Handbook" It was found that Bueckner's formula yields accurate results. However, the results obtained using Tada's formula exhibit inaccurate behavior.

본 논문은 등방성 재료로 된 반 무한 평판에 존재하는 반 무한 균열에서 엄밀해를 구성하여 응력확대계수를 계산하였다. H. Tada, P. Paris, G. Irwin의 "The Stress Analysis of Cracks Handbook"에 수록된 공식과 Bueckner의 공식에 엄밀해로부터 구한 균열 면에 작용하는 표면력을 적용하여 응력확대계수를 계산하였다. Bueckner의 공식은 엄밀해와 일치하였고 Tada의 Handbook에 수록된 공식은 엄밀해와 일치하지 않았다. 따라서 Tada의 공식이 오류임을 알 수 있다.

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References

  1. Tada, H., Paris, P. and Irwin, G., 1973, The Stress Analysis of Cracks Handbook, Del Research Corporation.
  2. Tada, H., Paris, P. and Irwin, G., 2000, The Stress Analysis of Cracks Handbook, Third Edition, The American Society of Mechanical Engineers, New York.
  3. Murakami, Y. (Editor-in-Chief), 1987, Stress Intensity Factors Handbook, Pergamon Press, Vol. 1 and 2.
  4. Muskhelishvilli, N. I., 1977, Some Basic Problems of the Mathmatical Theory of Elasticity, Noordhoff International Publishing Leigen.
  5. Bueckner, H. F., 1973, "Field Singularities and Related Integral Reprenstations," in Methods of Analysis and Solutions of Crack Problems, Edited by G.C. Sih, Noordhoff International Publishing Leiden, pp. 239-314.
  6. Broek, D., 1982, Elementary Engineering Fracture Mechanics, Martinus Nijhoff Publishers, The Hague.