Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Modeling of Size-Dependent Strengthening in Particle-Reinforced Aluminum Composites with Strain Gradient Plasticity

변형률 구배 소성을 고려한 입자 강화 알루미늄 복합재의 크기 종속 강화 모델링

  • 서영성 (한남대학교 기계공학과) ;
  • 박문식 (한남대학교 기계공학과) ;
  • 송승 (한남대학교 기계공학과)
  • Received : 2010.12.13
  • Accepted : 2011.03.14
  • Published : 2011.07.01
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Abstract

This study proposes finite element modeling of dislocation punching at cooling after consolidation in order to calculate the strength of particle-reinforced aluminum composites. The Taylor dislocation model combined with strain gradient plasticity around the reinforced particle is adopted to take into account the size-dependency of different volume fractions of the particle. The strain gradients were obtained from the equivalent plastic strain calculated during the cooling of the spherical unit cell, when the dislocation punching due to CTE (Coefficient of Thermal Expansion) mismatch is activated. The enhanced yield stress was observed by including the strain gradients, in an average sense, over the punched zone. The tensile strength of the SiCp/Al 356-T6 composite was predicted through the finite element analysis of an axisymmetric unit cell for various sizes and volume fractions of the particle. The predicted strengths were found to be in good agreement with the experimental data. Further, the particle-size dependency was clearly established.

입자강화 알루미늄 복합재의 강도를 계산하기 위하여 압밀 후 냉각할 때 일어나는 전위 펀칭을 유한요소로 모델링 하였다. 다양한 입자의 체적비에서 입자의 크기가 강도에 미치는 영향을 고려하기 위하여 강화 입자 주위에 변형률 구배 소성과 테일러 전위 모델을 적용하였다. 변형률 구배는, 구형 단위 셀이 냉각하는 동안 입자와 기지재의 열팽창계수 차이에 의한 전위 펀칭이 일어날 때 형성되는 등가소성변형률로부터 구하였다. 펀칭된 영역에 걸쳐 평균적으로 변형률 구배를 고려함으로써 항복 응력이 증가하는 것을 관찰하였다. 유한요소 해석을 활용하여 다양한 입자 크기와 체적비에 대하여 SiC 강화 알루미늄 356-T6 복합재의 축대칭 단위 셀의 인장시 강도의 변화를 예측하였다. 예측된 강도는 실험 데이터와 잘 일치하며, 입자 크기 의존 효과를 분명히 보인다.

Keywords

References

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