DOI QR코드

DOI QR Code

Plastic Limit Pressure Solutions for Cracked Pipes Using 3-D Finite Element Method

3차원 유한요소해석을 통해 도출한 균열배관의 소성한계압력식

  • 심도준 (성균관대학교 기계공학부) ;
  • 허남수 (성균관대학교 기계공학부) ;
  • 김윤재 (성균관대학교 기계공학부) ;
  • 김영진 (성균관대학교 기계공학부)
  • Published : 2003.01.01

Abstract

Based on detailed FE limit analyses, the present paper provides tractable approximations fer plastic limit pressure solutions fur axially through-wall-cracked pipe; axially (inner) surface-cracked pipe; circumferentially through-wall-cracked pipe; and circumferentially (inner) surface-cracked pipe. In particular, for surface crack problems, the effect of the crack shape, the semi-elliptical shape or the rectangular shape, on the limit pressure is quantified. Comparisons with existing analytical and empirical solutions show a large discrepancy in circumferential short through-wall cracks and in surface cracks (both axial and circumferential). Being based on detailed 3-D FE limit analysis, the present solutions are believed to be the most accurate, and thus to be valuable information not only for plastic collapse analysis of pressurised piping but also for estimating non-linear fracture mechanics parameters based on the reference stress approach.

Keywords

References

  1. Ainsworth, R.A., 1984, 'The Assessment of Defects in Structures of Strain Hardening Materials,' Engineering Fracture Mechanics, Vol. 19, pp. 633-642 https://doi.org/10.1016/0013-7944(84)90096-1
  2. 2001, 'R6: Assessment of the Integrity of Structures Containing Defects,' Revision 4, British Energy Generation Ltd.
  3. Nam, S.H., Kim, Y.J., and Kim, Y.J., 2002, 'An Engineering Method for Non-Linear Fracture Mechanics Analysis of Circumferential Through-Wall Cracked Pipes Under Internal Pressure,' Transaction of the KSME (A), Vol. 26, No.6, pp. 1099-1106 https://doi.org/10.3795/KSME-A.2002.26.6.1099
  4. Kim, J.S., Kim, Y.J., and Kim, YJ., 2002, 'Fracture Behavior Estimation for Circumferential Surface Cracked Pipe (I): J-Integral Estimation Solution,' Transaction of the KSME (A), Vol. 26, No. 1, pp. 139-146 https://doi.org/10.3795/KSME-A.2002.26.1.131
  5. Miller, A.G., 1988, 'J Estimation for Surface Defects; Further Results,' CEGB Memorandum TPRD /B/SM/SF95/M88
  6. 1999, SINTAP Final Procedure, Brite Euram Project, BE95-1426
  7. 2001, 'ABAQUS User's manual,' Hibbitt, Karlson & Sorensen, Inc.
  8. Hill, R., 1950, 'The Mathematical Theory of Plasticity,' Oxford University Press, Oxford, pp. 248-252
  9. Folias, E.S., 1975, 'On the Fracture of Nuclear Reactor Tubes,' SMiRT III, London, Paper C4/5
  10. Erdogan, F., 1976, 'Ductile Failure Theories for Pressurised Pipes and Containers,' International Journal of Pressure Vessels and Piping, Vol. 4, pp. 253-283 https://doi.org/10.1016/0308-0161(76)90001-6
  11. Carter, A.J., 1992, 'A Library of Limit Loads for FRACTURE-TWO,' Nuclear Electric Report TD/8SID/REP/0191
  12. Ewing, D.J.F., 1983, 'On the Plastic Collapse of a Thin-walled Pressurised Pipe With an Axial Crack, TPRD/L/2566/N83, CEGB, UK
  13. Kiefner, J.F., Maxey, WA., Eiber, RJ. & DuffY, A.R., 1973, 'Failure Stress Levels of Flaws in Pressurised Cylinders,' Progress in Flaw Growth and Fracture Toughness Testing, ASTM STP 536, pp. 461-481
  14. Kanninen, M.F., Zahoor, A., Wilkowski, G., AbouSayed, I., Marshall, C., Broek, D., Sampath, S., Rhee, H. & Ahmad, J., 1982, 'Instability Predictions for Circumferentially Cracked Type 304 Stainless Steel Pipes Under Dynamic Loading,' EPRI NP-2347, Vols. 1 and 2, EPRI
  15. Kastner, W, Roehrich, E., Schmitt, W & Steinbuch R., 1981, 'Critical Crack Sizes in Ductile Tearing,' International Journal of Pressure Vessels and Piping, Vol. 9, pp. 197-219 https://doi.org/10.1016/0308-0161(81)90002-8
  16. Schulze, RD., Togler, G. & 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 https://doi.org/10.1016/0029-5493(80)90090-4
  17. Chell, G.G., 1984, 'A Computer Program for Assessing Defects in Spheres and Cylinders,' TPRD/L/MT0237/M84, ADISC, CEGB
  18. TPRD/L/MT0237/M84, A Computer Program for Assessing Defects in Spheres and Cylinders Chell, G.G.