Korean Journal of Materials Research (한국재료학회지)

Materials Research Society of Korea (한국재료학회)
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Modeling the Hall-Petch Relation of Ni-Base Polycrystalline Superalloys Using Strain-Gradient Crystal Plasticity Finite Element Method

변형구배 결정소성 유한요소해석법을 이용한 니켈기 다결정 합금의 Hall-Petch 관계 모델링

  • Choi, Yoon Suk (School of Materials Science and Engineering, Pusan National University) ;
  • Cho, Kyung-Mox (School of Materials Science and Engineering, Pusan National University) ;
  • Nam, Dae-Geun (Korea Institute of Industrial Technology) ;
  • Choi, Il-Dong (Division of Marine Equipment Engineering, Korea Maritime and Ocean University)
  • 최윤석 (부산대학교 공과대학 재료공학부) ;
  • 조경목 (부산대학교 공과대학 재료공학부) ;
  • 남대근 (한국생산기술연구원 동남권 지역본부) ;
  • 최일동 (한국해양대학교 공과대학 조선기자재공학부)
  • Received : 2014.12.22
  • Accepted : 2015.01.20
  • Published : 2015.02.27
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Abstract

A strain-gradient crystal plasticity constitutive model was developed in order to predict the Hall-Petch behavior of a Ni-base polycrystalline superalloy. The constitutive model involves statistically stored dislocation and geometrically necessary dislocation densities, which were incorporated into the Bailey-Hirsch type flow stress equation with six strength interaction coefficients. A strain-gradient term (called slip-system lattice incompatibility) developed by Acharya was used to calculate the geometrically necessary dislocation density. The description of Kocks-Argon-Ashby type thermally activated strain rate was also used to represent the shear rate of an individual slip system. The constitutive model was implemented in a user material subroutine for crystal plasticity finite element method simulations. The grain size dependence of the flow stress (viz., the Hall-Petch behavior) was predicted for a Ni-base polycrystalline superalloy NIMONIC PE16. Simulation results showed that the present constitutive model fairly reasonably predicts 0.2%-offset yield stresses in a limited range of the grain size.

Keywords

References

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