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Reconstruction of Two-phase Polycrystalline Microstructures of Mechanical Isotropy

역학적 등방성을 가진 2상 다결정 미세구조의 재구성 기법

  • 정상엽 (연세대학교 토목환경공학과) ;
  • 한동석 (연세대학교 토목환경공학과)
  • Received : 2011.01.17
  • Accepted : 2011.03.08
  • Published : 2011.04.30

Abstract

Understanding of the phase distribution in a multi-phase polycrystalline material is important because it can affect material properties and mechanical behaviors significantly. In this research, probability functions (two-point correlation and lineal-path functions) are used to represent the phase distributions of microstructures. The two-phase microstructures with random phase distribution are reconstructed using probability functions and compared with original samples. Mechanical behaviors of the virtual samples for different directions are evaluated using a finite element method. It is confirmed that microstructures with the same statistical characteristics can be generated using the reconstruction method. It is also demonstrated that the characteristics of the probability functions and mechanical reponses between the original and reconstructed microsturctures are statistically identical.

다상 재료는 상(phase) 분포의 차이에 따라 재료의 특성이 다르기 때문에 상 분포 상태의 특성을 이해하는 것이 중요하다. 본 연구에서는 확률 분포 함수를 사용하여 미세구조의 상 분포 상태를 나타내고, 이를 사용한 미세구조 재구성 방법을 이용해서 특정 2상 미세구조와 통계적으로 유사한 상 분포를 가진 미세구조를 생성하여 기존의 미세구조와 재구성된 미세구조의 특성을 비교하였다. 그리고 서로 다른 임의의 상 분포를 가진 미세구조들에 유한요소해석 기법을 적용하여 서로 다른 하중 방향에 대한 미세구조의 역학적 거동을 분석하였다. 이를 통해, 미세구조 재구성 방법을 사용하여, 제한된 정보만을 이용해서 통계적으로 유사한 특성을 나타내는 미세구조를 모델링 할 수 있음을 확인하였고, 확률 분포 함수와 미세구조의 역학적 거동이 방향에 따라 동일함을 통하여 재생성 된 재료의 등방성을 확인하였다.

Keywords

References

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