Fracture Behavior Estimation for Circumferential Surface Cracked Pipes (I) - J-Integral Estimation Solution -

배관에 존재하는 원주방향 표면균열에 대한 파괴거동 해석 (I) -J-적분 예측식 -

  • Published : 2002.01.01


This paper provides the fully plastic J solutions for circumferential cracked pipes with inner, semi- elliptical surface cracks, subject to internal pressure and global bending. Solutions are given in the form of two different approaches, the GEF/EPRl approach and the reference stress approach. For the GE/EPRl approach, the plastic influence functions for fully plastic J are tabulated based on extensive 3-D FE calculations using the Ramberg-Osgood (R-O) materials, covering a wide range of pipe and crack geometries. The developed GEf/EPRl-type fully plastic J estimation equations are then re-formulated using the concept of the reference stress approach for wider applications. Based on the FE results, optimized reference load solutions for the definition of the reference stress are found for internal pressure and for global bending. Advantages of the reference stress based approach over the GE/EPRl-type approach are fully discussed. Validation of the proposed reference stress based J estimation equations will be given in Part II, based on 3-D elastic-plastic or elastic creep FE results using typical tensile properties of stainless steels and generalized creep- deformation behaviours.


Circunferential Cracked Pipe;Finite Element Analysis;J Estimation;Reference Stress Approach;Surface Crack


  1. Kim, Y.-J., Shim, D.-J., Choi, J.-B. and Kim, Y.-J., 2001, 'Finite Element Limit Analysis of Surface Cracked Pipes,' Submit to International Journal of Fracture
  2. 심도준, 김윤재, 최재붕, 김영진, 2001, '인장하중이 작용하는 평판에 존재하는 반타원 표면균열의 J-적분 계산식,' 대한기계학회논문집 A 권 제 25 권 제 11 호, pp. 1777-1784
  3. Kim, Y.-J., Kim, J.-S., Huh, N.-S. and Kim, Y.-J., 2001, 'Engineering C-Integral Estimation For Generalised Creep Behaviours And Finite Element Validation,' Submit to International Journal of Pressure Vessels and Piping
  4. Wilkowshki, G. and Eiber, R.J., 1980, 'Evaluation of Tensile Failure of Girth Weld Repair Grooves Subjected to Offshore Laying Stress,' Energy Sources Technology Conference, New Orleans
  5. R6, 1999, Assessment of the Integrity of Structures Containing Defects Revision 3, Amendment 10, British Energy
  6. R5, 1998, Assessment Procedure for the High Temperature Response of Structures, Issue 2, British Energy
  7. Miller, A.G., 1987, 'Review of Limit Loads of Structure Containing Defects,' International Journal of Pressure Vessels and Piping, Vol. 32, pp. 191-327
  8. Ainsworth, R.A., 1984, 'The Assessment of Defects in Structures of Strain Hardening Materials,' Engineering Fracture Mechanics, Vol. 19, pp. 633-642
  9. ABAQUS, 1998, ABAQUS Standard/User's Manual Version 5.8-1, Hibbit Karlsson & Sorensen, Inc, Pawtucket, RI, USA US
  10. Andersson, P., Bergman, M., Brickstad, B., Dahlberg, L., Nilsson, F. and Sattari-Far, I., 1996, A Procedure for Safety Assessment of Components with Cracks-Handbook, SAQ/FoU-Report 96/08
  11. Kurnar, V. and Garman, M.D., 1998, Elastic-Plasctic Fracture Analysis of Though-Wall and Surface Flaws in Cylinders, EPRI Report, NP-5596
  12. Zahoor, A., 1991, Ductile Fracture Handbook, Novotech Corp. 3 Volumes
  13. 허남수, 김윤재, 김영진, 2000, '원자력배관의 파단전누설 해석을 위한 개선된 참조응력법의 수치해석적 검증,' 대한기계학회논문집 A 권 제 25 권 제 4 호, pp. 741-747