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New J Testing Method Using Load-COD Curve for Circumferential Through-Wall Cracked Pipes under Bending

하중-균열열림변위를 이용한 굽힘하중이 작용하는 원주방향 관통균열 배관의 새로운 J 실험법

  • Published : 2006.01.01

Abstract

The present paper provides experimental J estimation equation for the circumferential through-wall cracked pipe under four-point bending, based on the load-crack opening displacement (COD) record. Based on the limit analysis and the kinematically admissible rigid-body rotation field, the plastic ${\eta}$-factor for the load-COD record is derived and is compared with that for the load-load line displacement record. Comparison with the J results from detailed elastic-plastic finite element (FE) analysis shows that the proposed method based on the load-COD record provides reliable J estimates even for shallow cracks, whereas the conventional approach based on the load-load line displacement record gives erroneous results for shallow cracks. Thus, the proposed J estimation method could be recommended for testing the circumferential through-wall cracked pipe, particularly with shallow cracks.

Keywords

References

  1. USNRC, 1984, 'Evaluation of Potential for Pipe Break,' NUREG-1061, Vol. 3
  2. Wilkowski, G.M., Zahoor, A. and Kanninen, M.F., 1981, 'A Plastic Fracture Mechanics Prediction of Fracture Instability in a Circumferentially Creaked Pipe in Bending - Part II. Experimental Verification on Type 304 Stainless Steel Pipe,' ASME Journal of Pressure Vessel Technology, Vol. 103, pp.359-365 https://doi.org/10.1115/1.3263414
  3. Moulin, D. and Le Delliou, P., 1996, 'French Experimental Studies of Circumferentially Through-Wall Cracked Austenitic Pipes under Static Bending,' International Journal of Pressure Vessels and Piping, Vol. 65, pp. 343-352 https://doi.org/10.1016/0308-0161(94)00146-A
  4. Miura, N. and Wikowski, G.M., 1998, 'J-R Curves from Circumferentially Throughwall Cracked Pipe Tests Subjected to Combined Bending and Tension - Part II. Experimental and Analytical Validation,' ASME Journal of Pressure Vessel Technology, Vol. 120, pp. 412-417 https://doi.org/10.1115/1.2842352
  5. Zahoor, A. and Kanninen, M.F., 1981, 'A Plastic Fracture Mechanics Prediction of Fracture Instability in a Circumferentially Cracked Pipes in Bending - Part I. J-Integral Analysis,' ASME Journal of Pressure Vessel Technology, Vol. 103, pp. 352-358 https://doi.org/10.1115/1.3263413
  6. Kirk, M.T. and Dodds, R.H.Jr., 1993, 'J and CTOD Estimation Equations for Shallow Cracks in Single Edge Notch Bend Speciments,' Journal of Testing and Evaluation, Vol. 21, No. 4, pp. 228-238 https://doi.org/10.1520/JTE11948J
  7. Wang, Y.Y. and Gordon, J.R., 1992, 'The Limts of Applicability of J and CTOD Estimation Procedures for Shallow-Cracked SENB Specimens,' In: Shallow Crack Fracture Mechanics, Toughness Test and Applications (Editor: Dawes, M.G.), Cambridge, U.K.
  8. Kim, Y.J. and Budden, P.J., 2001, 'Plastic $\{eta}-factor$ Solutions of Homogeneous and Bi-Material SE(T) Specimens for Toughness and Creep Crack Growth Testing,' Fatigue and Fracture of Engineering Materials and Structures, Vol. 24, pp. 751-760 https://doi.org/10.1046/j.1460-2695.2001.00436.x
  9. Kim, Y.J. amd Schwalbe, K.H., 2001, 'On Experimental J Estimation Equations based on CMOD for SE(B) Specimens,' Journal of Testing and Evaluation, Vol. 29, pp. 67-71 https://doi.org/10.1520/JTE12393J
  10. Kim, J.S., Cho, S.M., Kim, Y.J. and Kim, Y.J., 2003, 'Speciman Thickness and Crack Depth Effects on J Testing and Crack Tip Constraint for Non-Standard Specimen,' Transactions of the KSME(A), Vol. 27, No. 9, pp. 1531-1538 https://doi.org/10.3795/KSME-A.2003.27.9.1531
  11. Chattopadhyay, J., Dutta, B.K. and Kushwaha, H.S., 2001, 'Derivation of ${\gamma}$ Parameter from Limit Load Expression of Cracked Component to Evaluate J-R Curve,' International Journal of Pressure Vessels and Piping, Vol. 78, pp. 401-427 https://doi.org/10.1016/S0308-0161(01)00053-9
  12. Roos, E., Eisele, U. and Silcher, H., 1986, 'A Procedure for the Expeimental Assessment of the J-Integral by means of Specimens of Different Geometries,' International Journal of Pressure Vessels and Piping, Vol. 23, pp. 81-93 https://doi.org/10.1016/0308-0161(86)90012-8
  13. 'ABAQUS User's manual,' ABAQUS, Inc., 2003
  14. Kumar, V. and German, M.D., 1988, 'Elastic-Plastic Fracture Analysis of Through-Wall and Surface Flaws in Cylinders,' EPRI NP-5596