JDR Vol.10 No.3 pp. 527-534
doi: 10.20965/jdr.2015.p0527


Finite Element Reliability Analysis of Steel Containment Vessels with Corrosion Damage

Xiaolei Wang* and Dagang Lu*,**

*School of Civil Engineering, Harbin Institute of Technology
P.O. Box 2546, 73 Huanghe Road, Harbin, 150090, China

**Key Lab of Structures Dynamic Behavior and Control (Harbin Institute of Technology), Ministry of Education
P.O. Box 2546, 73 Huanghe Road, Harbin, 150090, China

September 15, 2014
March 9, 2015
June 1, 2015
steel containment vessel, internal pressure, yield stress, finite element reliability method, first order reliability method, corrosion

Containment vessels, which contain any radioactive materials that would be released from the primary system in an accident, are the last barrier between the environment and the nuclear steam supply system in nuclear power plants. Assessing the probability of failure for the containment building is essential to level 2 PSA studies of nuclear power plants. Degradation of containment vessels of some nuclear power plants has been observed in many countries, so it is important to study how the corrosion has adverse effects on the capacity of containment vessels. Conventionally, the reliability analysis of containment vessels can be conducted by using Monte Carlo Simulation (MCS) or Latin Hypercube Sampling (LHS) with the deterministic finite element analysis. In this paper, a 3D finite element model of an AP1000 steel containment vessel is constructed using the general-purpose nonlinear finite element analysis program ABAQUS. Then the finite element reliability method (FERM) based on the first order reliability method (FORM) is applied to analyze the reliability of the steel containment vessel, which is implemented by combining ABAQUS and MATLAB software platforms. The reliability and sensitivity indices of steel containment vessels under internal pressure with and without corrosion damage are obtained and compared. It is found that the FERM-based procedure is very efficient to analyze reliability and sensitivity of nuclear power plant structures.

Cite this article as:
Xiaolei Wang and Dagang Lu, “Finite Element Reliability Analysis of Steel Containment Vessels with Corrosion Damage,” J. Disaster Res., Vol.10, No.3, pp. 527-534, 2015.
Data files:
  1. [1]  Y. Yamaura and S. Igarashi, “Pressure Capacity of a Cylindrical Steel Containment Vessel,” Trans. of 8th SMiRT, Paper No.J3/4, 1985.
  2. [2]  OECD/NEA, “Int. Standard Problem No.48 Containment Capacity,” OECD/NEA/CSNI/R, 2005.
  3. [3]  NUREG/CR-6706, “Capacity of Steel and Concrete Containment Vessels With Corrosion Damage,” U.S.NRC, 2001.
  4. [4]  G. S. Sarmiento, “Assessment of the Structural Integrity of Spherical Steel Containments Containing Defects,” Trans. of the 8th SMiRT Conf., 1985.
  5. [5]  H. T. Tang et al., “Probabilistic evaluation of concrete containment capacity for beyond design basis internal pressures,” Nuclear Engineering and Design, Vol.157, pp. 455-467, 1995.
  6. [6]  J. Nie, J. Braverman, C. Hofmayer, Y. S. Choun, M. K. Kim, and I. K. Choi, “Identification and assessment of recent aging-related degradation occurrences in U.S. nuclear power plants,” Annual Report for Year 1 Task. BNL Report-81741-2008, Brookhaven National Laboratory; KAERI/RR-2931/2008, Korea Atomic Energy Research Institute, 2008.
  7. [7]  B. R. Ellingwood and J. L. Cherry, “Fragility Modeling of Aging Containment Metallic Pressure Boundaries,” NUREG/CR-6631, ORNL/SUB/99-SP638V, Oak Ridge National Laboratories, Oak Ridge, TN, 1999.
  8. [8]  NUREG/CR-6920, “Risk-Informed Assessment of Degraded Containment Vessel,” U.S.NRC, 2006.
  9. [9]  J. W. Huh and A. Haldar, “Stochastic finite-element-based seismic risk of nonlinear structures,” Journal of Structural Engineering, Vol.127, No.3, pp. 323-329, 2000.
  10. [10]  K. Imai and D. M. Frangopol, “Geometrically nonlinear finite element reliability analysis of structural systems I: theory,” Computers and Structures, Vol.77, No.6, pp. 677-691, 1999.
  11. [11]  D. M. Frangopol and K. Imai, “Geometrically nonlinear finite element reliability analysis of structural systems II: applications,” Computers and Structures, Vol.77, No.6, pp. 693-709, 2000.
  12. [12]  N. Liu and G. T. Liu, “Time-dependent Reliability assessment for mass concrete structures,” Structural Safety, Vol.21, No.1, pp. 23-43, 1999.
  13. [13]  N. Liu and G. T. Liu “Spectral finite element analysis of periodic thermal creep stress in concrete,” Engineering Structures, Vol.18, No.9, pp. 669-674, 1996.
  14. [14]  Westinghouse, “AP1000 Design Control Document (Rev.19),” 2011.
  15. [15]  ABAQUS, “Abaqus Theory Manual,” Version 6.10-1, Dassault Systèemes, 2010.
  16. [16]  Z. R. Tang, “Dynamic Analysis of Steel Containment Vessel under Pressure and Earthquake Action,” Master thesis, Harbin Engineering University, Harbin, China, 2011 (in Chinese).
  17. [17]  J. P. Petti, “Structural Integrity Analysis of the Degraded Drywell Containment at the Oyster Greek Nuclear Generating Station,” SANDIA report, SAND2007-0055, 2007.
  18. [18]  D. G. Lu and D. W. Yang, “Fundamentals and state-of-the-art of finite element reliability methods,” The Chinese Congress of Theoretical and Applied Mechanics, Beijing, 2005 (in Chinese).
  19. [19]  W. Wang, “Reliability and its sensitivity analysis and durability design of high strength concrete members,” Master thesis, Harbin Institute of Technology, Harbin, China, 2008 (in Chinese).
  20. [20]  MATLAB, “MATLAB User’s Guide,” Version 7.11, The MathWorks Inc, 2010.

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Last updated on Mar. 05, 2021