Analysis of a Branched Crack in a Semi-Infinite Plate Under Tension and Bending Moment

인장과 굽힘을 받는 반무한 평판내의 분기균열 해석

  • 김유환 (전남대학교 기계공학과) ;
  • 범현규 (전남대학교 기계공학과) ;
  • 박치용 (한국전력공사 전력연구원 원자력 연구실)
  • Published : 2002.09.01

Abstract

A branched crack in a semi-infinite plate under uniform tension and bending moment is considered in this study By using the superposition, the stress and moment intensity factors for the branched crack subjected to uniform tension and bending moment we evaluated. The stress intensity factors we obtained by using the finite element method and the J-based mutual integral. The moment intensity factors are calculated by extrapolating the values of the moment new the crack tip. Numerical results lot the normalized stress and moment Intensity factors we shown as functions of the ratio of branched crack length to main crack length and the branching angle.

본 연구에서는 균일한 인장과 굽힘을 받는 반무한 평판내의 분기균열에 대하여 해석하였다. 중첩의 원리를 이용하여 인장과 굽힘을 받는 분기균열에 대하여 응력 및 모멘트 확대계수를 해석하였다. 응력확대계수는 유한요소법과 J 기저 상호매개적분을 이용하여 해석하였고, 모멘트확대계수는 균열선단의 모멘트로부터 모멘트외삽을 이용하여 계산하였다 무차원화된 응력확대계수와 모멘트확대계수에 대한 수치해석 결과는 분기균열 길이와 주균열의 비, 그리고 분기균열각의 함수로 나타내었다.

Keywords

References

  1. Kitagawa, H., Yuuki, R. and Ohira, T., 'Crack Morphological Aspects in Fracture Mechanics,' Engineering Fracture Mechanics, Vol. 47, 1975. pp.515-529
  2. Isida, M. and Noguchi, H., 'Formulae of Stress Intensity Factors of Branched Cracks in Plane Problems,' Transaction of Japan Society of Mechanical Engineers, Vol. 49, 1983, pp. 469-479 https://doi.org/10.1299/kikaia.49.469
  3. 윤영필, 이채규, 우광성, '혼합모우드를 받는 균열판의 응력확대계수 산정을 위한 p Version 유한요소 모델,' 전산구조공학논문집, 제9권, 제2호, 1996, pp.133-142
  4. Rice, J. R., 'A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,' Journal of Applied Mechanics, Vol. 35, 1968, pp.379-386 https://doi.org/10.1115/1.3601206
  5. Chen, F. H. K. and Shield, R. T., 'Conservation Laws of Elasticity of the J integral type,' Zeitschrift fur Angewandte Mathematik und Physik, Vol. 28, 1977, pp.1-22 https://doi.org/10.1007/BF01590704
  6. Cho, Y. J., Beom, H. G. and Earmme, Y. Y., 'Application of a Conservation Integral to a Interface Crack Interacting with Singularities,' International Journal of Fracture, Vol. 65, 1994, pp.63-73 https://doi.org/10.1007/BF00017143
  7. Choi, S. Y., Beom, H. G. and Earmme, Y. Y., 'A New Conservation Integral for an Arbitrarily Curved Kinked Interfacial Crack,' International Journal of Fracture, Vol. 80, 1996, pp.45-57 https://doi.org/10.1007/BF00036479
  8. Pahn, L. O. and Earmme, Y. Y., 'Analysis of a Short Interfacial Crack from the Corner of a Rectangular Inclusion,' International Journal of Fracture, Vol. 106, 2000, pp.341-356 https://doi.org/10.1023/A:1026599122610
  9. Jeon, I. and Im, S., 'The Role of Higher Order Eigenfields in Elastic-Plastic Cracks,' Journal of the Mechanical and Physics of Solids, Vol. 49, 2001, pp.2789-2818 https://doi.org/10.1016/S0022-5096(01)00097-7
  10. Williams, M. L., 'The Stress around a Fault or Crack in Dissimilar Media,' Bulletin of the Seismological Society of America, Vol. 49, 1959, pp.199-204
  11. Reissner, E., 'The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,' Journal of Applied Mechanics, Vol. 12, 1945, pp.69-77
  12. Hibbit, H. D., Karlsson, B. and Sorensen, E. P., ABAQUS User's Manual, 5.8, HKS Inc., Providence RI, 1998