353
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Reliability-based robust design optimization of gap size of annular nuclear fuels using kriging and inverse distance weighting methods

, &
Pages 2161-2176 | Received 04 Apr 2017, Accepted 20 Dec 2017, Published online: 12 Feb 2018

References

  • Anthoine, A. 1997. “Homogenization of Periodic Masonry: Plane Stress, Generalized Plane Strain or 3D Modeling.” International Journal for Numerical Methods in Biomedical Engineering 13 (5): 319–326.
  • Bathe, K. J. 1996. Finite Element Procedures. Upper Saddle River, NJ: Prentice Hall.
  • Chen, X., T. K. Hasselman, and D. J. Neill. 1997. “Reliability-Based Structural Design Optimization for Practical Applications.” AIAA-97-1403.
  • Doh, J., S. U. Lee, and J. Lee. 2016. “Back-propagation Neural Network-Based Approximate Analysis of True Stress-Strain Behaviors of High-Strength Metallic Material.” Journal of Mechanical Science and Technology 30 (3): 1233–1241. doi: 10.1007/s12206-016-0227-1
  • Ichikawa, M., T. Fujishiro, and S. Kawasaki, 1989. “LWR Fuel Safety Research with Particular Emphasis on RIA/LOCA and Other Conditions.” Journal of Nuclear Science and Technology 26 (1): 118–125. doi: 10.1080/18811248.1989.9734276
  • Jeong, S. B., and G. J. Park. 2017. “Single Loop Single Vector Approach Using the Conjugate Gradient in Reliability Based Design Optimization.” Structural and Multidisciplinary Optimization 55 (4): 1329–1344. doi: 10.1007/s00158-016-1580-5
  • Kang, C. H., S. U. Lee, D. Y. Yang, H. C. Kim, and Y. S. Yang. 2016. “3D Finite Element Analysis of a Nuclear Fuel Rod with Gap Elements between the Pellet and the Cladding.” Journal of Nuclear Science and Technology 53 (2): 232–239. doi: 10.1080/00223131.2015.1037374
  • Kim, H. C., Y. S. Yang, and Y. H. Koo. 2013. “Implementation of Effective-Stress-Function Algorithm for Nuclear Fuel Performance Code.” International Journal of Precision Engineering and Manufacturing 14: 791–796. doi: 10.1007/s12541-013-0103-1
  • Kojic, M., and K. J. Bathe. 1987. “The ‘Effective-Stress-Function’ Algorithm for Thermo-Elasto-Plasticity and Creep.” International Journal for Numerical Methods in Engineering 24 (8): 1509–1532. doi: 10.1002/nme.1620240808
  • Kwon, Y. D., S. B. Kwon, S. S. Kim, and H. J. Cho. 2015. “Optimization of Gap Sizes for the High Performance of Annular Nuclear Fuels.” Journal of Mechanical Science and Technology 29 (4): 1399–1405. doi: 10.1007/s12206-015-0310-z
  • Kwon, Y. D., S. B. Kwon, K. T. Rho, M. S. Kim, and H. J. Song. 2011. “Thermo-Elastic-Plastic-Creep Finite Element Analyses of Annular Nuclear Fuels.” International Journal of Modern Physics: Conference Series 1 (1): 1–5.
  • Kwon, Y. D., B. K. Shim, and J. M. Song. 2016. “Nonlinear Dynamic Analysis of Nuclear Fuels Considering Thermo–Elastic–Plastic–Creep Phenomena.” Advances in Mechanical Engineering 8 (3): 1–10. doi: 10.1177/1687814016638300
  • Lamarsh, J. R., and A. J. Baratta. 2001. Introduction to Nuclear Engineering. 3rd ed. Upper Saddle River, NJ: Prentice Hall.
  • Lee, K. H., and G. J. Park. 2001. “Robust Optimization Considering Tolerances of Design Variables.” Computers and Structures 79: 77–86. doi: 10.1016/S0045-7949(00)00117-6
  • Li, F., T. Wu, A. Badiru, M. Hu, and S. Soni. 2013. “A Single-Loop Deterministic Method for Reliability-Based Design Optimization.” Engineering Optimization 45 (4): 435–458. doi: 10.1080/0305215X.2012.685071
  • Marchal, N., C. Campos, and C. Garnier. 2009. “Finite Element Simulation of Pellet-Cladding Interaction (PCI) in Nuclear Fuel Rods.” Computational Materials Science 45 (3): 821–826. doi: 10.1016/j.commatsci.2008.10.015
  • Martin, J. D., and T. W. Simpson. 2004. “On the Use of Kriging Models to Approximate Deterministic Computer Models.” In International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Vol. 1, 481–492. New York: ASME.
  • McKay, M. H., R. J. Beckman, and W. J. Conover. 1979. “A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code.” Technometrics 21 (2): 239–245.
  • Mueller, T. G., N. B. Pusuluri, K. K. Mathias, P. L. Cornelius, R. I. Barnhisel, and S. A. Shearer. 2004. “Map Quality for Ordinary Kriging and Inverse Distance Weighted Interpolation.” Soil Science Society of America Journal 68 (6): 2042–2047. doi: 10.2136/sssaj2004.2042
  • Pandey, K. M., and Amrit Sarkar. 2011. “Structural Analysis of Nuclear Fuel Element with Ansys Software.” International Journal of Engineering and Technology 3(2), 187–192. doi: 10.7763/IJET.2011.V3.222
  • Park, J. S. 1994. “Optimal Latin-Hypercube Designs for Computer Experiments.” Journal of Statistical Planning and Inference 39 (1): 95–111. doi: 10.1016/0378-3758(94)90115-5
  • PIAnO (Process Integration Automation and Optimization) User’s Manual. 2016. Seoul: Version 2016 FRAMAX Inc.
  • Quist Arie, J., and Kees Roos. 2001. “Reloading Nuclear Reactor Fuel Using Mixed-Integer Nonlinear Optimization.” Optimization and Engineering 2: 251–276. doi: 10.1023/A:1015354615402
  • Rowinski, M. K., T. J. White, and J. Zhao. 2015. “Innovative Model of Annular Fuel Design for Lead-Cooled Fast Reactors.” Progress in Nuclear Energy 83: 270–282. doi: 10.1016/j.pnucene.2015.04.002
  • Setianto, A., and T. Triandini. 2013. “Comparison of Kriging and Inverse Distance Weighted (IDW) Interpolation Methods in Lineament Extraction and Analysis.” Journal of Applied Geology 5 (1): 21–29.
  • Shin, J., and I. Lee. 2015. “Reliability Analysis and Reliability-Based Design Optimization of Roadway Horizontal Curves Using a First-Order Reliability Method.” Engineering Optimization 47 (5): 622–641. doi: 10.1080/0305215X.2014.908871
  • Simpson, T. W., T. M. Mauery, J. J. Korte, and F. Mistree. 2001. “Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization.” AIAA Journal 39 (12): 2233–2241. doi: 10.2514/2.1234
  • Tu, J., K. K. Choi, and Y. H. Park. 1999. “A New Study on Reliability-Based Design Optimization.” Journal of Mechanical Design 121 (4): 557–564. doi: 10.1115/1.2829499
  • Vitanza, C. 2006. “RIA Failure Threshold and LOCA Limit at High Burn-up.” Journal of Nuclear Science and Technology 43 (9): 1074–1079. doi: 10.1080/18811248.2006.9711197
  • Wang, L., D. Beeson, and G. Wiggs. 2006. A Robust and Efficient Probabilistic Approach for Challenging Industrial Applications with High-Dimensional and Non-Monotonic Design Space. Paper presented at the 11th AIAA/ISSME Multidisciplinary Analysis and Optimization Conference, Portsmouth, VA, September 6–8.
  • Yao, X., B. Fu, Y. Lu, F. Sun, S. Wang, and M. Liu. 2013. “Comparison of Four Spatial Interpolation Methods for Estimating Soil Moisture in a Complex Terrain Catchment.” PloS One 8 (1): e54660. doi: 10.1371/journal.pone.0054660
  • Youn, B. D., K. K. Choi, and K. Yi. 2005. “Performance Moment Integration (PMI) Method for Quality Assessment in Reliability-Based Robust Design Optimization.” Engineering Optimization 33: 185–213.
  • Youn, B. D., and Z. Xi. 2009. “Reliability-Based Robust Design Optimization Using the Eigenvector Dimension Reduction (EDR) Method.” Structural and Multidisciplinary Optimization 37: 475–492. doi: 10.1007/s00158-008-0239-2
  • Zhao, L. 2011. “Reliability-Based Design Optimization Using Surrogate Model with Assessment of Confidence Level.” PhD diss., University of Iowa.
  • Zimmerman, D., C. Pavlik, A. Ruggles, and M. P. Armstrong. 1999. “An Experimental Comparison of Ordinary and Universal Kriging and Inverse Distance Weighting.” Mathematical Geology 31 (4): 375–390. doi: 10.1023/A:1007586507433

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.