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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.

핵연료 지지격자 소재로 사용되는 zircaloy-4의 유동응력을 Johnson-Cook 모델로 결정하고, 모델의 재료상수를 역 공학으로 도출했다. 변형률 항의 상수 A, B, n과 변형률 속도 항의 $\dot{\varepsilon}_0$은 인장시험을 통해 결정했다. 상수 C, m을 역 공학으로 도출하기 위해 슬롯밀링시험을 수행하고, 유한요소해석으로 모사했다. 실험과 해석으로 얻은 결과의 차이를 오차함수, 즉 최소화 대상 목적함수로 설정했고, 이 함수를 최소로 하는 C, m을 도출했다. 도출한 상수의 타당성을 검증하기 위해 상관계수를 살펴봤고, 전단시험과 해석을 수행해 교차 검증했다. 상관계수는 모든 조건에 대해 0.97이상으로 실험과 해석결과 사이에 강한 상관관계가 있음을 확인했다. 전단시험과 해석의 전단면 형상 및 최대하중을 비교하여 도출한 유동응력 모델이 타당함을 보였다.

Keywords

Acknowledgement

Supported by : 서강대학교, 한국연구재단

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