Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Effect of Plastic Gradient from GND on the Behavior of Polycrystalline Solids

GND 효과에 의한 소성 구배의 다결정 고체 거동에 대한 영향

  • 정상엽 (연세대학교 사회환경시스템공학부) ;
  • 한동석 (연세대학교 사회환경시스템공학부)
  • Received : 2010.10.15
  • Accepted : 2011.03.09
  • Published : 2011.04.30
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Abstract

Plastic gradient from geometrically necessary dislocation(GND) can affect material behavior significantly. In this research, mechanical behavior of polycrystalline solid is investigated using the finite element method incorporating plastic gradient from long range dislocation or GND effect. Plastic gradient effect is implemented in the analysis model by considering a long range strain term as well as elastic and plastic terms in the multiplicative decomposition. In the model, gradient hardness coefficient and length parameter are used to evaluate the effect of the long range strains and sensitive study is conducted for the parameters. It is confirmed that the GND amplifies hardening response of polycrystals compared with the single crystal.

재료의 마이크로 스케일 해석에서 결정의 geometrically necessary dislocation(GND) 효과에 의한 소성 구배(plastic gradient)의 고려는 재료의 소성 거동에 큰 영향을 미칠 수 있다. 본 연구에서는 먼 거리(long range) 전위(dislocation)의 영향(또는 GND 효과)을 고려하여 소성 구배의 영향을 받는 다결정 고체(polycrystalline solids)의 거동을 유한요소해석을 이용하여 살펴보았다. 탄성(elastic)과 소성(plastic) 변형에 추가적으로 먼 거리 변형률(long range strain)을 고려한 항(term)이 포함된 변형 구배(deformation gradient)의 multiplicative decomposition 모델을 기반으로 하여 소성 구배 효과를 해석 모델에 포함하였다. 먼 거리 변형률에 의한 영향을 살펴보기 위해 구배 경화 계수(gradient hardness coefficient)와 먼거리 변형률 길이에 대한 재료 변수(parameter)가 사용되었다. 각각의 계수들이 다결정 고체의 거동에 미치는 영향을 확인하기 위해 두 변수의 적용에 따른 다결정 고체의 거동을 분석하였다. 단결정 및 다결정 재료의 GND 효과에 의한 소성 구배를 고려해서, 고려하지 않은 경우와 비교하여 발생하는 경화(hardening)의 차이를 분석함으로서 GND의 다결정 고체 거동의 영향을 확인하였다.

Keywords

References

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