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Plastic Limit Loads of 90° Elbows with Local Wall-Thinning Using Small Strain FE Limit Analyses (II)- Bending Moment -

소변형 이론에 입각한 감육이 존재하는 90 도 곡관의 소성 한계 하중 (II)- 굽힘 -

  • 김종현 (고려대학교 대학원 기계공학과) ;
  • 안중혁 (고려대학교 대학원 기계공학과) ;
  • 홍석표 (고려대학교 대학원 기계공학과) ;
  • 박치용 (한전 전력연구원 원자력 연구실) ;
  • 김윤재 (고려대학교 기계공학과)
  • Published : 2007.04.01

Abstract

This paper proposes closed-form plastic limit load solutions for elbows under in-plane bending, via three-dimensional (3-D), small strain FE limit analyses using elastic-perfectly plastic materials. A wide range of elbow and thinning geometries are considered. For systematic analyses of the effect of the axial thinning length on limit loads, two limiting cases are considered; a sufficiently long wall thinning, and the circumferential part-through surface crack. Closed-form plastic limit load solutions for wall thinning with intermediate longitudinal extents are then obtained from these two limiting cases. The effect of the axial extent of wall thinning on plastic limit loads for elbows is highlighted by comparing that for straight pipes. Although the proposed solutions are developed for the case when wall thinning exists in the center of elbows, it is also shown that they can be applied to the case when wall thinning exists anywhere within the elbow.

Keywords

References

  1. Kanninen, M.F., Zahoor, A., Wilkoski, G., Abousayed, I., Marschall, C., Broek, D., Sampath, S., Rhee, H. and Ahmad, J., 1982, 'Instability Predictions for Circumferentially Cracked Type-304 Stainless Pipes Under Dynamic Loading,' EPRI NP-2347, Electric Power Research Institute, Palo Alto, CA
  2. ASME Boiler and Pressure Vessel Code Section IX (1992)
  3. API, API RP579 ? Recommended Practice for Fitness-For-Service, 2000, American Petroleum Institute
  4. Stephens, D.R. and Lei, B.N., 2000, 'Development of an Alternative Criterion for Residual Strength of Corrosion Defects in Moderate-to High-Toughness Pipe,' Proc. Int. Pipeline Conf., Vol. 2, pp. 781-792
  5. Miyazaki, K., Kanno, S., Ishiwata, M., Hasegawa, K., Ahn, S.H. and Ando, K., 2002, 'Stacture and General Yield for Carbon Steel Pipes with Local Wall Thinning,' Nuclear Engineering and Design, Vol. 211, pp. 61-68 https://doi.org/10.1016/S0029-5493(01)00438-1
  6. Hasegawa, K., Sakata, K., Miyazaki, K., Kanno, S., 2002, 'Eatigue Strength for Pipes with Allowable Flaws and Design Curve,' International Journal of Pressure Vessels and Piping, Vol. 79, pp. 37-44 https://doi.org/10.1016/S0308-0161(01)00129-6
  7. Choi, J.B., Goo, B.K., Kim, J.C., Kim, Y.J., Kim, W.S., 2003, 'Revelopment of Limit Load Solutions for Corroded Gas Pipelines, ' International Journal of Pressure Vessels and Piping 2003; Vol. 80: pp. 121-128 https://doi.org/10.1016/S0308-0161(03)00005-X
  8. Ahn, S.-H., Nam, K.-W., Yoo, Y.-S., Ando, K., Ji, S.- H., 'Fshiwata, M., Hasegawa, K., 2002, 'racture Behavior of Straight Pipe and Elbow with Local Wall Thinning,' Nuclear Engineering and Design 2002; Vol. 211: pp. 91-103 https://doi.org/10.1016/S0029-5493(01)00447-2
  9. Shim, D.J., Choi, J.B., Kim, Y.J., 2004, 'Failure Strength Assessment of Pipes with Local Wall Thinning Under Combined Loading Based on Finite Element Analyses. ASME Journal of Pressure Vessel Technology 2004; Vol. 126: pp. 179-183 https://doi.org/10.1115/1.1687382
  10. Kim, Y.J., Oh, C.K., Park, C.Y., Hasegawa, K., 2006, 'Net-section Limit Load Approach for Failure Strength Estimates of Pipes with Local Wall Thinning,' International Journal of Pressure Vessels and Piping 2006; Vol. 83: pp. 546-555 https://doi.org/10.1016/j.ijpvp.2006.03.001
  11. Oh, C.S. and Kim, Y.J., 2006, 'Closed-Form Plastic Collapse Loads of Pipe Bends under Combined Pressure and In-Planed Bending,'Transaction of the KSME(A), Vol. 30, No. 8, pp. 1008-1015 https://doi.org/10.3795/KSME-A.2006.30.8.1008
  12. Calladine, C.R., 1974, 'Limit Analysis of Curved Tubes,'Journal of Mechanical Engineering Science 1974; Vol. 16: pp. 85-87 https://doi.org/10.1243/JMES_JOUR_1974_016_016_02
  13. Kim, Y.J., Oh, C.S., 2007, 'Effects of Attached Straight Pipes on Finite Element Limit Analysis of Pipe Bends,'International Journal of Pressure Vessels and Piping (electronic version available) https://doi.org/10.1016/j.ijpvp.2006.09.017
  14. Kim, Y.J., Kim, Y.I. and Song, T.K., 2006, 'Finite Element Plastic Loads for Circumferential Cracked Pipe Bends Under In-Plane Bending,' Engineering Fracture Mechanics https://doi.org/10.1016/j.engfracmech.2006.07.001
  15. Kim, Y.J., Oh, C.K., Park, C.Y., Hasegawa, K., 2006, 'Net-section Limit Load Approach for Failure Strength Estimates of Pipes with Local Wall Thinning,' International Journal of Pressure Vessels and Piping, Vol. 83, pp. 546-555 https://doi.org/10.1016/j.ijpvp.2006.03.001
  16. Roberston, A., Li, H. and Mackenzie, D., 2005, 'Plastic Collapse of Elbows Under Combined Internal Pressure and In-Plane Bending, ' International Journal of Pressure Vessels and Piping, Vol. 82, pp. 407-416 https://doi.org/10.1016/j.ijpvp.2004.09.005
  17. ABAQUS Version 6.2-1. User' manual. Hibbitt, Karlsson and Sorensen, Inc, RI; 2001
  18. Goodall, I.W., 1978, 'Lower Bound Limit Analysis of Curved Tubes Loaded by Combined Internal Pressure and In-Plane Bending Moment, ' CEGB report RD/B/N4360 Central Electricity Generating Board
  19. Oh, C.K., Kim, Y.J. and Park, C.Y., 2007, 'Quantification of Axial Length Effects on Net-Section Limit Loads for Pipes with Local Wall Thinning Under Combined Pressure and Bending, ' International Journal of Pressure Vessels and Piping (submitted)
  20. Joong-Hyok An, Jong-Hyun Kim, Suk-Pyo Hong, Yun-Jae Kim, Chi-Yong Park , 2007, 'Plastic Limit Loads of $90^{\circ}$ Elbows with Local Wall Thinning using Small Strain FE Limit Analyses, Part I : Internal Pressure,' Submitted to Transaction of the KSME(A)