Browse > Article
http://dx.doi.org/10.3795/KSME-A.2011.35.3.281

Minimum Safety Factor for Evaluation of Critical Buckling Pressure of Zirconium Alloy Tube  

Kim, Hyung-Kyu (LWR Fuel Technology Division, Korea Atomic Energy Research Institute)
Kim, Jae-Yong (LWR Fuel Technology Division, Korea Atomic Energy Research Institute)
Yoon, Kyung-Ho (LWR Fuel Technology Division, Korea Atomic Energy Research Institute)
Lee, Young-Ho (LWR Fuel Technology Division, Korea Atomic Energy Research Institute)
Lee, Kang-Hee (LWR Fuel Technology Division, Korea Atomic Energy Research Institute)
Kang, Heung-Seok (LWR Fuel Technology Division, Korea Atomic Energy Research Institute)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.35, no.3, 2011 , pp. 281-287 More about this Journal
Abstract
We consider the uncertainty in the elastic buckling formula for a thin tube. We take into account the measurement uncertainty of Young's modulus and Poisson's ratio and the tolerance of the tube thickness and diameter. Elastic buckling must be prohibited for a thin tube such as a nuclear fuel rod that must satisfy a self-stand criterion. Since the predicted critical buckling pressure overestimated that found in the experiment, the determination of the minimum safety factor is crucial. The uncertainty in each parameter (i.e., Young's modulus, Poisson's ratio, thickness, and diameter) is mutually independent, so the safety factor is evaluated as the sum of the inverse of each uncertainty. We found that the thickness variation greatly affects the uncertainty. The minimum safety factor of a thin tube of Zirconium alloy is evaluated as 1.547 for a thickness of 0.87 mm and 3.487 for a thickness of 0.254 mm.
Keywords
Elastic Buckling; Zirconium Alloy Tube; Critical Buckling Pressure; Minimum Safety Factor;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 ASTM International, 2004, “Standard Test Method for Young’s Modulus, Tangent Modulus, and Chord Modulus,” ASTM STD E 111-04.
2 ASTM International, 2004, “Standard Terminology Relating to Methods of Mechanical Testing,” ASTM STD E 6-08.
3 Siefken, L.J. et al., 2001, SCDAP/RELAP5/MOD3.1 Code Manual Volume IV: MATPRO - A Library of Materials Properties for Light-Water-Reactor Accident Analysis, NUREG/CR-6150.
4 Fuel Design Report for $17{\times}17 $Fuel Assembly, 1987, Kraftwerk Union AG.
5 Fuel Rod Design Manual, 1988, Combustion Engineering Inc..
6 http://www.matweb.com
7 EURACHEM/CITAC Guide Quantifying Uncertainty in Analytical Measurement 2nd Edition, 2000, edited by S.L.R. Ellison et al.
8 Huh, Y.-H., Lee, H.M., Kim, D.J. and Park, J.S., “Estimation of Measurement Uncertainty in Evaluation of Tensile Properties,” Trans. Of the KSME(A), Vol. 24, No. 1, pp. 73-78.   과학기술학회마을   DOI   ScienceOn
9 ASTM International, 2007, “Standard Specification for Wrought Zirconium Alloy Seamless Tubes for Nuclear Reactor Fuel Cladding,” ASTM Standard B 811-02.
10 ASTM International, 2010, “Standard Specification for Seamless and Welded Austenitic stainless Steel Tubing for General Service,” ASTM Standard A 269-10.
11 Timoshenko, S.P. and Gere, J.M., 1961, Theory of Elastic Stability, Art. 7.2-7.7.
12 Griffin, D.S., 1965, “Inelastic Buckling of Long Axially Compressed Curved Plates,” WAPD-TM-469.
13 Morgan, R., 1964, “Report on External Collapsing Pressure of ELK River Reactor Fuel Element Tubing,” ACNP 64-509.