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

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Assessment of Dislocation-Punching Theories for Continuum Structural Analysis of Particle-Reinforced Metal Matrix Composites

입자 강화 금속기지 복합재의 연속체 강도해석을 위한 전위 펀칭 이론의 전산적 평가

  • 서영성 (한남대학교 기계공학과) ;
  • 김용배 (한남대학교 기계공학과)
  • Received : 2010.10.06
  • Accepted : 2011.01.04
  • Published : 2011.03.01
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Abstract

The yield strength of particle-reinforced composites increases as the size of the particle decreases. This kind of length scale has been mainly attributed to the geometrically necessary dislocation punched around the particle as a result of the mismatch of the thermal expansion coefficients of the particle and the matrix when the composites are cooled down after consolidation. In this study, two dislocation-punching theories that can be used in continuum structural modeling are assessed numerically. The two theories, presented by Shibata et al. and Dunand and Mortensen, calculate the size of the dislocationpunched zone. The composite yield strengths predicted by finite element analysis were qualitatively compared with experimental results. When the size of the particle is less than $2{\mu}m$, the patterns of the composite strength are quite different. The results obtained by Shibata et al. are in qualitatively better agreement with the experimental results.

입자 강화 복합재료는 입자의 크기가 감소할수록 그 항복강도가 증가하므로, 입자의 크기에 대한 길이 스케일을 보인다. 항복강도에 대한 이러한 길이 스케일은 복합재가 압밀된 후 냉각될 때 기지재와 입자간 열팽창계수의 상이함에 의하여 입자 주위 기지재에 펀칭되는 기하적 필수 전위가 주된 영향을 미치는 것으로 알려져 있다. 본 연구에서는 입자 강화 복합재의 연속체 강도해석 모델링에 사용할 수 있는 두 가지 전위 펀칭이론들에 대하여 전산적으로 검토하였다. 즉, 입자 주위에 펀치되는 전위 영역의 크기를 계산하는 대표적인 두 가지 이론들인 Shibata 등 및 Dunand and Mortensen 이론으로부터 전위 펀치 영역의 크기를 계산하고, 이를 유한요소해석에 적용하여 복합재의 항복 강도를 예측하였으며 실험값과 정성적으로 비교하였다. 본 연구에서 입자가 매우 작은 경우, 즉, 입자의 크기가 2.m이하인 경우에 두 이론 간에 극명한 차이를 보여주었으며, Shibata 등의 정식이 정성적으로 실험값에 더 근사한 것을 확인하였다.

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References

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