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2019 Vol.32, Issue 5 Preview Page
Evaluation of Crack Propagation in Silicon Anode using Cohesive Zone Model during Two-phase Lithiation

접착영역 모델을 사용한 2상 리튬 이온 충전 시 실리콘 음극 전극의 균열진전 해석

Yong-Woo Kim1
,
Tong-Seok Han1†
김 용 우1
,
한 동 석1†
1Department of Civil and Environmental Engineering, Yonsei University, Seoul, 03722, Korea
1연세대학교 건설환경공학과
†Corresponding author: Tel: +82-2-2123-5801; E-mail: tshan@yonsei.ac.kr
2019. pp. 297-304
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Abstract

In this research, crack propagation in a silicon anode during two-phase lithiation was evaluated using a cohesive zone model. The phase transition from crystalline silicon to lithiated silicon causes compressive yielding due to the high volume expansion rate. Li-ion diffuses from the surface of the silicon to its core, and the complex deformation mechanisms during lithiation cause tensile hoop stress along the surface. The Park-Paulino-Roesler (PPR) potential-based cohesive zone model that guarantees consistent energy dissipation in mixed-mode fracture was adopted to simulate edge crack propagation. It was confirmed that the edge crack propagation characteristics during lithiation from the FEM simulation results coincided with the real experimental results. Crack turning observed from real experiments could also be predicted by evaluating the angles of maximum tensile stress directions.

Keywords
silicon anode
crack propagation
cohesive zone model
two-phase lithiation
PPR model

본 논문에서는 접착영역 모델을 이용하여 2상 리튬이온 충전 시 실리콘 음극 전극의 균열진전 해석을 수행하였다. 리튬화 실리콘은 결정질 실리콘에 비해 부피가 약 3배 이상 크므로 리튬이온 충전 시 외각의 리튬화 실리콘에 매우 큰 압축력이 작 용하여 압축항복이 발생한다. 리튬이온 충전 시 외각의 리튬화 실리콘은 압축항복 후에 내부의 결정질 실리콘이 리튬화 실 리콘으로 상 변이하면서 발생하는 부피 팽창으로 인해 인장력이 작용한다. 이러한 인장력으로 인해 발생하는 균열진전을 접착영역 모델을 이용하여 모사하였다. 사용한 접착영역 모델은 PPR 포텐셜 기반 접착영역 모델로 하나의 포텐셜을 사용하 여 복합모드에 대해서도 에너지 소산에 일관성을 지니고 있다. 유한요소 수치해석 모델로 2상 리튬이온 충전 시 모서리 균 열진전을 모사한 결과가 실제 실험결과와 일치함을 확인하였고, 균열 팁에서의 최대 인장응력의 각도를 분석하여 실제 실험 처럼 균열진전 방향이 회전할 것을 예측할 수 있었다.

키워드
실리콘 음극 전극
균열진전 해석
접착영역 모델
2상 리튬 이온 충전
PPR model
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Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 32
  • No :5
  • Pages :297-304
  • Received Date : 2019-06-27
  • Revised Date : 2019-07-05
  • Accepted Date : 2019-07-06
  • DOI :https://doi.org/10.7734/COSEIK.2019.32.5.297
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