Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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Analytical method to estimate cross-section stress profiles for reactor vessel nozzle corners under internal pressure

  • Received : 2021.04.16
  • Accepted : 2021.08.02
  • Published : 2022.01.25
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Abstract

This paper provides a simple method by which to estimate the cross-section stress profiles for nozzles designed according to ASME Code Section III. Further, this method validates the effectiveness of earlier work performed by the authors on standard nozzles. The method requires only the geometric information of the pressure vessel and the attached nozzle. A PWR direct vessel injection nozzle, a PWR outlet nozzle, a PWR inlet nozzle and a BWR recirculation outlet nozzle are selected based on their corresponding specific designs, e.g., a varying nozzle radius, a varying nozzle thickness and an outlet nozzle boss. A cross-section stress profile comparison shows that the estimates are in good agreement with the finite element analysis results. Differences in stress intensity factors calculated in accordance with ASME BPVC Section XI Appendix G are discussed. In addition, a change in the dimensions of an alternate nozzle design relative to the standard values is discussed, focusing on the stress concentration factors of the nozzle inside corner.

Keywords

Acknowledgement

This work was supported by the Nuclear Safety Research Program through the Korea Foundation of Nuclear Safety(KoFONS) using financial resources granted by the Nuclear Safety and Security Commission(NSSC) of the Republic of Korea. (No. 1805005).

References

  1. M.C. Walter, D.V. Sommerville, "Nozzle Blend Radius Peak Stress Correction Factors for 2-D Axisymmetric Finite Element Models," Proceedings of the ASME 2010 Pressure Vessels and Piping Conference, Bellevue, Washington, USA, 2010, pp. 317-325, https://doi.org/10.1115/PVP2010-25104. July 18-22, ASME Paper No. PVP2010-25104.
  2. D. Sommerville, M.C. Walter, "An Investigation into the Effects of Modelling Cylindrical Nozzle to Cylindrical Vessel Intersections Using 2D Axisymmetric Finite Element Models and a Proposed Method for Correcting the Results," Proceedings of the ASME 2011 Pressure Vessels and Piping Conference, Baltimore, Maryland, USA, 2011, pp. 285-293, https://doi.org/10.1115/PVP2011-57001. July 17-21, ASME Paper No. PVP2011-57001.
  3. M. Walter, S. Yin, G.L. Stevens, D. Sommerville, N. Palm, C. Heinnecke, Supplemental Stress and Fracture Mechanics Analyses of Pressurized Water Reactor Pressure Vessel Nozzles,, in: Proceedings of the ASME 2012 Pressure Vessels and Piping Conference, Canada, Toronto, Ontario, 2012, pp. 737-747, https://doi.org/10.1115/PVP2012-78119. July 15-19, ASME Paper No. PVP2012-78119.
  4. S. Yin, B.R. Bass, G.L. Stevens, Stress and fracture mechanics analyses of boiling water reactor and pressurized water reactor pressure vessel nozzles, ORNL (2010). Technical Report No. ORNL/TM-2010/246, Revision 1, https://www.nrc.gov/docs/ML1218/ML12181A162.pdf.
  5. ASME, ASME Boiler and Pressure Vessel Code, Section XI, Nonmandatory Appendix G - Fracture Toughness Criteria for Protection against Failure, American Society of Mechanixal Engineers, New York, 2017.
  6. A.C. Erigen, E.S. Suhubi, Stress distribution at two normally intersecting cylindrical shells, Nucl. Struct. Eng. 2 (3) (1965) 253-270, https://doi.org/10.1016/0369-5816(65)90082-7.
  7. J.G. Lekkerkerker, The determination of elastic stresses near cylinder-to-cylinder intersections, Nucl. Eng. Des. 20 (1) (1972) 57-84, https://doi.org/10.1016/0029-5493(72)90021-0.
  8. C.R. Steele, M.L. Steele, Stress analysis of nozzles in cylindrical vessels with external load, J. Pressure Vessel Technol. 105 (3) (1983) 191-200, https://doi.org/10.1115/1.3264264.
  9. A.S. Khan, J.C. Chen, C. Hsiao, A comparative study of the stress field around a reinforced and an unreinforced normal intersection of two cylindrical shells, Int. J. Pres. Ves. Pip. 15 (2) (1984) 79-92, https://doi.org/10.1016/0308-0161(84)90049-8.
  10. K.Y. Kuo, T.Y. Hsu, Stress Analysis of Reinforced nozzle-cylindrical shell intersection under internal pressure and nozzle radial thermal expansion, J. Pressure Vessel Technol. 110 (4) (1988) 367-373, https://doi.org/10.1115/1.3265618.
  11. M.-D. Xue, Q.-H. Du, K.-C. Hwang, Z.-H. Xiang, "An analytical method for cylindrical shells with nozzles due to internal pressure and external loads e Part I: theoretical foundation, J. Pressure Vessel Technol. 132 (3) (2010), 031206, https://doi.org/10.1115/1.4001199.
  12. J.D. Andrachek, W.H. Bamford, T.J. Laubham, S.M. DiTommaso, S.L. Anderson, M.C. Rood, "Methodology Used to Develop Cold Overpressure Mitigating System Setpoints and RCS Heatup and Cooldown Limit Curves," Westinghouse Owners Group, Topical Report No. WCAP-14040-A, Revision 4, 2004. https://www.nrc.gov/docs/ML0501/ML050120209.pdf.
  13. P.T. Willams, T.L. Dickson, B.R. Bass, H.B. Klasky, "Fracture Analysis of Vessels e Oak Ridge FAVOR, v16.1, Computer Code: Theory and Implementation of Algorithms, Methods, and Correlations," Oak Ridge National Laboratory, Document No. ORNL/LTR-2016/309, 2016. https://www.nrc.gov/docs/ML1627/ML16273A0333.pdf.
  14. C.-S. Oh, T.-K. Song, S.-M. Lee, "A Method to Estimate Cross-Sectional Stress Distributions on Reinforced Nozzle Corners under Internal Pressure," Proceedings of the ASME 2019 Pressure Vessels and Piping Conference, San Antonio, Texas, USA, 2019, https://doi.org/10.1115/PVP2019-93266. July 14-19, ASME Paper No. PVP2019-93266.
  15. ASME, ASME Boiler and Pressure Vessel Code, Section III, Division 1, Subsection NB - Class 1 Components, American Society of Mechanixal Engineers, New York, 2017.
  16. J.W. Ramsey Jr., "Stress Concentration Factors for Circular, Reinforced Penetrations in Pressurized Cylindrical Shells, Ph.D. Dissertation, University of Virginia, Charlottesville, Virginia, 1975.
  17. D.G. Moffat, J. Mistry, S.E. Moore, Effective stress factor correlation equations for piping branch junctions under internal pressure loading, J. Pressure Vessel Technol. 121 (2) (1999) 121-126, https://doi.org/10.1115/1.2883674.
  18. C. Guozhong, H. Qichao, Stress intensity factors of nozzle corner cracks, Eng. Fract. Mech. 38 (1) (1991) 27-35, https://doi.org/10.1016/0013-7944(91)90204-E.
  19. S. Timoshenko, S. Woinowsky-Krieger, Theory of Plates and Shells, McGRAW-HILL, New York, 1959.
  20. USNRC, PVRUF Combustion Engineering Drawings, Outlet Nozzle, CE Drawing No. 12573-128-003, Revision 0, NRC ADAMS Accession No. ML102730694. United States Nuclear Regulatory Commission. https://www.nrc.gov/docs/ML1027/ML102730694.pdf.
  21. USNRC, PVRUF Combustion Engineering Drawings, Inlet Nozzle, CE Drawing No. 12573-128-001, Revision 0, NRC ADAMS Accession No. ML102730694. United States Nuclear Regulatory Commission. https://www.nrc.gov/docs/ML1027/ML102730694.pdf.
  22. ABQUS, 2017, ABAQUS Documentation, Version 2017, Dassault Systemes Simulia Corp. https://www.3ds.com/products-services/simulia/products/abaqus/.