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

The Korean Society of Mechanical Engineers (대한기계학회)
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Mode II and Mixed Mode Fracture of Single Layer Graphene Sheet

단층 그래핀시트의 모드 II 및 혼합모드 파괴

  • 웬민키 (울산대학교 기계공학부) ;
  • 염영진 (울산대학교 기계공학부)
  • Received : 2013.05.06
  • Accepted : 2013.12.09
  • Published : 2014.02.01
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Abstract

The mode II fracture behavior of a single-layer graphene sheet (SLGS) containing a center crack was characterized with the results of an atomistic simulation and an analytical model. The fracture of zigzag graphene models was analyzed with molecular dynamics and the mode II fracture toughness was found to be $2.04MPa{\sqrt{m}}$. The in-plane shear fracture of a cellular material was analyzed theoretically for deriving the $K_{IIc}$ of SLGS, and FEM results were obtained. Mixed-mode fracture of SLGS was studied for various mode I and mode II ratios. The mixed-mode fracture criterion was determined, and the obtained fracture envelope was in good agreement with that of another study.

중앙에 균열을 갖는 단층 그래핀시트(single layer graphene sheet, SLGS)의 모드 II 파괴 거동을 원자 시뮬레이션과 해석 모델에 기초하여 고찰하였다. 지그재그 그래핀 모델의 파괴를 분자동역학(molecular dynamics, MD)에 의해 해석한 결과 모드 II 파괴인성은 $2.04MPa{\sqrt{m}}$인 것으로 밝혀졌다. 또한 SLGS의 이론적인 $K_{IIc}$를 유도하기 위해 면내전단하중을 받는 다공체에 대한 파괴역학적 해석도 진행하였고 유한요소해석도 병행하였다. 모드 I과 모드 II의 비를 다양하게 변화시켜가면서 SLGS 의 혼합모드 파괴를 검토한 결과 혼합모드 파괴조건식이 얻어졌고 다른 문헌의 결과와 비슷함을 알 수 있었다.

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