Reference Stress Based J-Integral Estimates Along the Semi-Elliptical Surface Crack Front

반타원 표면균열 선단을 따른 참조응력 기반의 J-적분 예측

  • Published : 2004.06.01


This paper discusses applicability of the enhanced reference stress method to estimate J-integral along the semi-elliptical surface crack front. It is found that angular variations of normalized J­integral are strongly dependent on the geometry, loading mode and loading magnitude. As application of the reference stress approach to semi-elliptical surface cracks implies proportional increases in the normalized J-integral, the present results pose a question in applicability of the reference stress approach. However, investigation of the error in the estimated J-integral in the present work suggests that the enhanced reference stress approach, recently proposed by authors, provides an effective engineering tool fur estimating crack driving force along the semi-elliptical surface crack front.


Semi-Elliptical Surface Crack;Enhanced Reference Stress Method;J-integral;J Estimation;Crack Driving Force


  1. Miller, A.G. and Ainsworth, R.A., 1989, 'Consistency of Numerical Results for Power-Law Hardening Materials and the Accuracy of the Reference Stress Approximation for J,' Engineering Fracture Mechanics, Vol. 32, pp. 237-247
  2. Zahoor, A., 1991, Ductile Fracture Handbook, Novetech Corp.
  3. Chell G.G., 1989, Application of the CEGB Failure Assessment Procedure, R6, to Surface Flaws, CEGB Report, RD/L/3415/R88
  4. Miller, A.G., 1988, J Estimation for Surface Defects; Further Results, CEGB Memorandum TPRD/B/SM/SF95/M88
  5. Miller, A.G., 1988, 'Review of Limit Loads of Structures Containing Defects,' International Journal of Pressure Vessels & Piping, Vol. 32, pp. 191-327
  6. ABAQUS Version 6.3 User's manual, 2002, Hibbitt, Karlsson & Sorensen, Inc.
  7. Schulze, H. D., Togler, G. and Bodmann, E., 1980, 'Fracture Mechanics Analysis on the Initiation and Propagation of Circumferential and Longitudinal Defects in Straight Pipes and Pipe Bends,' Nuclear Engineering and Design, Vol. 58, pp. 19-31
  8. Carter, A. J., 1992, A Library of Limit Loads for FRACTURE-TWO, Nuclear Electric Report TD/SID/REP/0191
  9. Raju, I.S. and Newman, Jr. J.C., 1979, 'Stress Intensity Factors for a Wide Range of Semi-Elliptical Surface Cracks in Finite-Thickness Plates,' Engineering Fracture Mechanics, Vol. 11, pp. 817-829
  10. Raju, I.S. and Newman, Jr. J.C., 1982, 'Stress Intensity Factors for Internal and External Surface Cracks in Cylindrical Vessels,' Journal of Pressure Vessel Technology, Vol. 104, pp. 293-298
  11. Fett, T. and Munz, D., 1997, Stress Intensity Factors and Weight Functions, Computational Mechanics Publications
  12. Kim, J.S., Kim, Y.J. and Kim, Y.J., 2002, 'Fracture Behavior Estimation for Circumferential Surface Cracked Pipes(I)-J-Integral Estimation Solution-,' Transactions of the KSME, A, Vol. 26, No. 1, pp. 131-138
  13. Kim, J.S., Kim, Y.J. and Kim, Y.J., 2002, 'Engineering J-Integral Estimation for Internal Axial Surface Cracks in Cylinders(II)-Optimised Reference Stress Based Estimation-,' Transactions of the KSME, A, Vol. 26, No. 11, pp. 2245-2252
  14. R6: Assessment of the Integrity of Structures Containing Defects, 2000, Revision 4
  15. McClung, R.C., Chell, G.G., Lee, Y.D., Russel, D.A. and Orient, G.E., 1999, Development of a Practical Methodology for Elastic-Plastic and Fully Plastic Fatigue Crack Growth, NASA Report NASA/CR-1999-209428
  16. Ainsworth, R.A., 1984, 'The Assessment of Defects in Structures of Strain Hardening Materials,' Engineering Fracture Mechanics, Vol. 19, pp. 633-642
  17. Chell G.G., 1989, Application of the CEGB failure assessment procedure, R6, to surface flaws, CEGB Report, RD/L/3415/R88
  18. Kim, Y.J., Shim, D.J., Choi, J.B. and Kim, Y.J., 2002, 'Elastic-Plastic Analysis for Surface Cracked Plates under Combined Bending and Tension,' Journal of Strain Analysis, Vol. 37, 33-46
  19. Yagawa, G., Kitajima, Y. and Ueda, H., 1993, 'Three-Dimensional Fully Plastic Solutions for Semi-Elliptical Surface Cracks,' International Journal of Pressure Vessels & Piping, Vol. 53, pp. 457-510