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A STRESS ANALYSIS FOR A COATED FUEL PARTICLE OF A HTGR USING A FINITE ELEMENT METHOD

  • Published : 2009.10.31

Abstract

A finite element method utilizing the Galerkin form of the weighted residuals procedure was developed to estimate the mechanical behavior for a coated fuel particle (CFP) of a high temperature gas-cooled reactor (HTGR). Through a weak formulation, finite element equations for multiple layers were set up to calculate the displacements and stresses in a CFP. The finite element method was applied to the stress analyses for three coating layers of a tri-isotropic coated fuel particle (TRISO) of a HTGR. The stresses calculated by the finite element method were in good agreement with those from a previously developed computer code and depicted the typical stress behavior of the coating layers very well. The newly developed finite element method performs a stress analysis for multiple bonded layers in a CFP by changing the material properties at any position in the layers during irradiation.

Keywords

References

  1. J. W. Prados and J. L. Scott, “Mathematical Model for Predicting Coated-Particle Behavior,” Nucl. Appl., 2, 402 (1966) https://doi.org/10.13182/NT66-A27617
  2. J. L. Kaae, “A Mathematical Model for Calculating Stresses in a Four-layer Carbon-Silicon-Carbide-Coated Fuel Particle,” J. Nucl. Mater., 32, 322 (1969) https://doi.org/10.1016/0022-3115(69)90081-6
  3. H. Walther, “On Mathematical Models for Calculating the Mechanical Behaviour of Coated Fuel Particles,” Nucl. Eng. Des., 18, 11 (1972) https://doi.org/10.1016/0029-5493(72)90034-9
  4. D. G. Martin, “An Analytical Method of Calculating, to a Reasonable Accuracy, Stresses in the Coatings of HTR Fuel Particles,” J. Nucl. Mater., 44, 35 (1973) https://doi.org/10.1016/0022-3115(73)90076-7
  5. G. K. Miller, D. A. Petti, J. T. Maki, and D. L. Knudson, “Updated Solution for Stresses and Displacements in TRISOcoated Fuel Particles,” J. Nucl. Mater., 374, 129 (2008) https://doi.org/10.1016/j.jnucmat.2007.07.016
  6. R. G. Bennet, “Finite Element Stress Analysis for Coated Particle Fuel Modeling under Normal Operating Conditions,” Nucl. Technol., 96, 117 (1991) https://doi.org/10.13182/NT91-A35537
  7. G. K. Miller, D. A. Petti, D. J. Varacalle Jr., and J. T. Maki, “Statistical Approach and Benchmarking for Modeling of Multi-Dimensional Behavior in TRISO-Coated Fuel Particles,” J. Nucl. Mater., 317, 69 (2003) https://doi.org/10.1016/S0022-3115(02)01702-6
  8. G. K. Miller, D. A. Petti, and J. T. Maki, “Consideration of the Effects of Partial Debonding of the IPyC and Particle Asphericity on TRISO-Coated Fuel Behavior,” J. Nucl. Mater., 334, 79 (2004) https://doi.org/10.1016/j.jnucmat.2004.04.330
  9. T. D. Gulden, C. L. Smith, and D. P. Harmon, “The Mechanical Design of TRISO-coated Particle Fuels for the Large HTGR,” Nucl. Technol., 16, 100 (1972) https://doi.org/10.13182/NT72-A31179
  10. J. L. Kaae, “On Irradiation-Induced Creep of Pyrolytic Carbon in a General State of Stress,” J. Nucl. Mater., 34, 206 (1970) https://doi.org/10.1016/0022-3115(70)90124-8
  11. S. P. Timoshenko, and J. N. Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill, Inc. (1970)
  12. D. W. Pepper and Juan C. Heinrich, The Finite Element Method, Hemisphere Publishing Corporation, USA (1992)
  13. F. B. Hildebrand, Introduction to Numerical Analysis, 2nd ed., Dover Publications, Inc. (1987)
  14. R. D. Cook, D. S. Malkus, and M. E. Plesha, Concepts and Applications of Finite Element Analysis, 3rd ed., John Wiley & Sons, Inc. (1981)
  15. IMSL Fortran Numerical Library, version 5.0: IMSL MATH/LIBRARY Volume 1, Visual Numerics, Inc. (2003)
  16. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN, 2nd ed., Cambridge University Press (1992)
  17. O. C. Zienkiewicz, The Finite Element Method, third ed., McGraw-Hill Book Company (UK) Limited (1977)
  18. G. A. Greenbaum, “Creep Analysis of Axisymmetric Bodies using Finite Elements,” Nucl. Eng. Des., 7, 379 (1968) https://doi.org/10.1016/0029-5493(68)90069-1
  19. K. Verfondern and Y. W. LEE, “Advances in HTGR Fuel Technology - A New IAEA Coordinated Research Program,” 2005 International Congress on Advances in Nuclear Power Plants (ICAPP05), May 15 - 19, 2005, Seoul, Korea
  20. J. T. Maki and G. K. Miller, “TRISO-Coated Particle Fuel Performance Benchmark Cases,” unnumbered document (2005)
  21. D. A. Petti, J. T. Maki, J. Buongiorno, R. R. Hobbins, and G. K. Miller, Key Differences in the Fabrication, Irradiation and Safety Testing of U.S. and German TRISO-coated Particle Fuel and Their Implications on Fuel Performance, INEEL/EXT-02-00300 (2002)
  22. Y. M. Kim, M. S. Cho, Y. W. Lee, and W. J. Lee, “Development of a Fuel Performance Analysis Code COPA,” Proceedings of the 4th International Topical Meeting on High Temperature Reactor Technology (HTR-2008) September 28 - October 1, 2008, Washington D.C., USA https://doi.org/10.1115/HTR2008-58040
  23. D. G. Martin, “A UK contribution to the CRP6 benchmarking of fuel performance codes during normal operation. Part 2: Cases 5-8,” CRP6/DGM/05/01 (2005)