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Determination of Flow Stress of Zircaloy-4 Under High Strain Rate Using Slot Milling Test

슬롯밀링시험을 이용한 높은 변형률 속도 조건하에서 Zircaloy-4의 유동응력 결정

  • Hwang, Jihoon (Dept. of Mechanical Engineering, Sogang University) ;
  • Kim, Naksoo (Dept. of Mechanical Engineering, Sogang University) ;
  • Lee, Hyungyil (Dept. of Mechanical Engineering, Sogang University) ;
  • Kim, Dongchoul (Dept. of Mechanical Engineering, Sogang University)
  • Received : 2012.06.18
  • Accepted : 2012.08.17
  • Published : 2013.01.01

Abstract

The flow stress of zircaloy-4 used in the spacer grid supporting a nuclear fuel rod was determined by the Johnson-Cook model, and model parameters were determined using reverse engineering. Parameters such as A, B, n and $\dot{\varepsilon}_0$ were determined by the tensile test result. To obtain the parameters C and m, a slot milling test and numerical simulation were performed. The objective functions were defined as the difference between the experimental and the simulation results, and then, the parameters were determined by minimizing the objective function. To verify the validity of the determined parameters, cross-verification for each case was conducted through a shearing test and simulation. The results tend to show agreement with the experimental results, such as the features of sheared edges and maximum punch force, with the correlation coefficients exceeding at least 0.97.

Keywords

Zircaloy-4;Johnson-Cook Model;Flow Stress;Slot Milling Test;Inverse Engineering

Acknowledgement

Supported by : 서강대학교, 한국연구재단

References

  1. Kunz, H. J. and Song, K. N., 1987, "Fuel Assembly Mechanical Design Manual," Siemens/KWU Work- Report U6 312/87/e326.
  2. Lee, S. H., Kim, K. J. Y. and Song, N., 2007, "Design Improvement of an OPT-H Type Nuclear Fuel Rod Support Grid by Using an Axiomatic Design and an Optimization," Journal of Mechanical Science and Technology, Vol. 21, pp. 1191-1195. https://doi.org/10.1007/BF03179035
  3. Lee, S., Kim, Y. and Song, K., 2008, "Parameter Study for a Dimple Location in a Space Grid Under the Critical Impact Load," Journal of Mechanical Science and Technology, Vol. 22, pp. 2024-2029. https://doi.org/10.1007/s12206-008-0620-5
  4. Song, K. N. and Kim, S. S., 2007, "Determination of the Optimum Welding Parameters for a Laser Welded Spacer Grid Assembly for PWRs," Journal of Laser Micro/Nanoengineering, Vol. 2, No. 1, pp. 95-99. https://doi.org/10.2961/jlmn.2007.01.0017
  5. Song, K. N., Lee, S. H., Lee, S. B., Lee, J. J. and Park, G. J., 2010, "Study on the Lateral Dynamic Cruch Strength of a Spacer Grid Assembly for a LWR Nuclear Fuel Assembly," Trans. Korean Soc. Mech. Eng. A, Vol. 34, No. 9, pp. 1175-1183. https://doi.org/10.3795/KSME-A.2010.34.9.1175
  6. Ko, D. C. and Kim, B. M., 2000, "Development of an Analytical Scheme to Predict the Need for Tool Regrinding in Shearing Processes," International Journal of Machine Tools & Manufacture, Vol. 40, pp. 1329-1349. https://doi.org/10.1016/S0890-6955(99)00125-X
  7. Yu, S., Xie, X., Zhang, J. and Zhao, Z., 2007, "Ductile Fracture Modeling of Initiation and Propagation in Sheet-Metal Blanking Processes," Journal of Materials Processing Technology, Vol. 187-188, pp. 169-172. https://doi.org/10.1016/j.jmatprotec.2006.11.179
  8. Husson, C., Correia, J.P.M., Daridon, L. and Ahzi, S., 2008, "Finite Elements Simulations of Thin Copper Sheets Blanking: Study of Blanking Parameters on Sheared Edge Quality," Journal of Materials Processing Technology, Vol. 199, pp. 74-83. https://doi.org/10.1016/j.jmatprotec.2007.08.034
  9. Hatanaka, N., Yamaguchi, K. and Takakura, N., 2003, "Finite Element Simulation of the Shearing Mechanism in the Blanking of Sheet Metal," Journal of Materials Processing Technology, Vol. 139, pp. 64-70. https://doi.org/10.1016/S0924-0136(03)00183-3
  10. Shatla, M., Kerk, C. and Altan, T., 2001, "Process Modeling in Machining. Part Ⅰ: Determination of Flow Stress Data," International Journal of Machine Tools & Manufacture, Vol. 41, pp. 1511-1534. https://doi.org/10.1016/S0890-6955(01)00016-5
  11. Shatla, M., Kerk, C. and Altan, T., 2001, "Process Modeling in Machining. Part II: Validation and Applications of the Determined Flow Stress Data," International Journal of Machine Tools & Manufacture, Vol. 41, pp. 1659-1680. https://doi.org/10.1016/S0890-6955(01)00017-7
  12. Sartkulvanich, P., Altan, T. and Soehner, J., 2005, "Flow Stress Data for Finite Element Simulation in Metal Cutting: A Progress Report on Madams," Machining Science and Technology, Vol. 9, pp. 271-288. https://doi.org/10.1016/S0890-6955(01)00017-7
  13. Johnson, G. R. and Cook, W. H., 1985, "Fracture Characteristics of Three Metals Subjected to Various Strains, Strain Rates, Temperatures and Pressures," Engineering Fracture Mechanics, Vol. 21, No. 1, pp. 31-48. https://doi.org/10.1081/MST-200059068
  14. Seo, Y., Hyun, H. C., Lee, H. and Kim, N., 2011, "Acquiring Forming Limit Stress Diagram for Zircaloy-4 and Zirlo Sheets Based on Dome Stretching Test," Trans. Korean Soc. Mech. Eng. A, pp. 415-416. https://doi.org/10.1016/0013-7944(85)90052-9
  15. Han, Q., Kim, D., Kim, D., Lee, H. and Kim, N., 2012, "Laser Pulsed Welding in Thin Sheets of Zircaloy-4," Journal of Materials Processing Technology, Vol. 212, pp. 1116-1122. https://doi.org/10.1016/j.jmatprotec.2011.12.022
  16. Sartkulvanich, P., Koppka, F. and Altan, T., 2004, "Determination of Flow Stress for Metal Cutting Simulation-a Progress Report," Journal of Materials Processing Technology, Vol. 146, pp. 61-71. https://doi.org/10.1016/j.jmatprotec.2011.12.022
  17. DEFORM 2D User's Manual, Version 9.0, Scientific Forming Technologies Corporation, USA https://doi.org/10.1016/S0924-0136(03)00845-8
  18. PIAnO User's Manual, Version 3.3, FRAMAX Inc., KOREA
  19. Chapra, S.C. and Canale, R.P., 2006, Numerical Methods for Engineers, Fifth edition, McGraw Hill Education (Asia), pp. 440-473
  20. Wang, J., Kim, N. and Lee, H., 2012, "Ductile Fracture Model in the Shearing Process of Zircaloy Sheet for Nuclear Fuel Spacer Grids," Metals and Materials International, Vol. 18, No. 2, pp. 303-316. https://doi.org/10.1007/s12540-012-2014-6

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