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

김유환 (전남대학교 기계공학과)
범현규 (전남대학교 기계공학과)
박치용 (한국전력공사 전력연구원 원자력 연구실)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.15, no.3, 2002 , pp. 433-440 More about this Journal
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.
Keywords
branched crack; stress intensity factor; finite element method; J-bused mutual integral; extrapolation;
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1 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   DOI
2 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   DOI   ScienceOn
3 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   DOI   ScienceOn
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   DOI
5 Kitagawa, H., Yuuki, R. and Ohira, T., 'Crack Morphological Aspects in Fracture Mechanics,' Engineering Fracture Mechanics, Vol. 47, 1975. pp.515-529
6 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   DOI   ScienceOn
7 Hibbit, H. D., Karlsson, B. and Sorensen, E. P., ABAQUS User's Manual, 5.8, HKS Inc., Providence RI, 1998
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   DOI   ScienceOn
9 Reissner, E., 'The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,' Journal of Applied Mechanics, Vol. 12, 1945, pp.69-77
10 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   DOI
11 윤영필, 이채규, 우광성, '혼합모우드를 받는 균열판의 응력확대계수 산정을 위한 p Version 유한요소 모델,' 전산구조공학논문집, 제9권, 제2호, 1996, pp.133-142
12 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