Tunnel and Underground Space (터널과지하공간)

Korean Society for Rock Mechanics and Rock Engineering (한국암반공학회)
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Derivation of Mohr Envelope of Hoek-Brown Failure Criterion Using Non-Dimensional Stress Transformation

응력무차원화 변환을 이용한 Hoek-Brown 파괴함수의 Mohr 파괴포락선 유도

  • Lee, Youn-Kyou (Department of Coastal Construction Engineering, Kunsan National University)
  • 이연규 (군산대학교 해양과학대학 해양건설공학과)
  • Received : 2014.01.24
  • Accepted : 2014.02.13
  • Published : 2014.02.28
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Abstract

In the course of performing the stability analysis of rock structures, there are times when the strength of the Hoek-Brown rock mass needs to be understood in terms of the internal friction angle and cohesion. In this case, the original Hoek-Brown criteion, giving the relationship between ${\sigma}_1$ and ${\sigma}_3$ at failure, have to be transformed to the corresponding Mohr envelope. A new approach to derive the Mohr envelope of the Hoek-Brown criterion is suggested in this study. The new method is based on the Londe's transformation making the stress components dimensionless. The correctness of the derivation leading to the new ${\tau}-{\sigma}$ relationship is confirmed by comparing the calculation results with the Bray's solution through a verification example.

Hoek-Brown 파괴함수를 적용하여 암반구조물의 안정성 분석을 수행하는 경우 암반의 강도를 내부마찰각과 점착력을 이용하여 평가해야하는 경우가 있다. 이러한 경우 ${\sigma}_1-{\sigma}_3$ 관계로 표시된 본래의 Hoek-Brown 함수는 수직응력 (${\sigma}$)과 전단응력 (${\tau}$) 관계인 Mohr 파괴포락선으로 변환되어야 한다. 이 연구에서는 Hoek-Brown 파괴함수의 Mohr 파괴포락선을 구하는 새로운 방법을 제시하였다. 제시한 방법은 Londe (1988)가 제안한 응력무차원화 변환방법을 기초로 하였다. 검증 예제를 통해 새로 유도된 ${\sigma}-{\tau}$ 관계식이 Bray가 유도한 관계식과 정확히 일치한다는 것이 확인되었다.

Keywords

References

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