터널과지하공간 (Tunnel and Underground Space)

  • 제26권2호
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  • Pages.100-109
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  • 2016
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  • 1225-1275(pISSN)
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  • 2287-1748(eISSN)
한국암반공학회 (Korean Society for Rock Mechanics and Rock Engineering)
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횡등방성 암석의 강도 이방성 모사를 위한 강도정수 공간분포함수

Spatial Distribution Functions of Strength Parameters for Simulation of Strength Anisotropy in Transversely Isotropic Rock

  • Lee, Youn-Kyou (Department of Coastal Construction Engineering, Kunsan National University)
  • 투고 : 2016.04.11
  • 심사 : 2016.04.21
  • 발행 : 2016.04.30
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초록

이 연구에서는 횡등방성 암석파괴함수의 개발에 활용할 수 있는 3가지 강도정수 공간분포함수를 제안하였다. 제안된 분포함수는 편구(oblate spheroid)분포함수, 지수분포함수, 강도정수텐서 방향투영함수이며 모두 2개의 모델파라미터로 정의된다. 제안된 분포함수들을 점착력과 마찰각의 공간분포함수로 활용하여 횡등방성 Mohr-Coulomb 파괴함수를 유도한 후 이를 활용하여 수치삼축시험을 모사하였다. 연약면의 경사각과 구속압의 변화에 따른 파괴축응력 변화 및 파괴면 방향 변화를 계산한 결과 3개의 분포함수을 적용한 경우 모두 실제 실험에서 관찰되는 이방성 파괴특성을 재현하고 있음을 확인하였다. 3개의 분포함수 중 강도정수텐서 방향투영함수를 채용한 경우가 가장 큰 파괴축강도를 계산하였으며 지수분포함수, 편구분포함수 순으로 낮은 파괴축강도 값을 예측하였다.

This study suggests three spatial distribution functions of strength parameters, which can be adopted in the derivation of failure conditions for transversely isotropic rocks. All three proposed functions, which are the oblate spheroidal function, the exponential function, and the function based on the directional projection of the strength parameter tensor, consist of two model parameters. With assumption that the cohesion and friction angle can be described by the proposed distribution functions, the transversely isotropic Mohr-Coulomb criterion is formulated and used as a failure condition in the simulation of the conventional triaxial tests. The simulation results confirm that the failure criteria incorporating the proposed distribution functions could reproduce the general trend in the variations of the axial stress at failure and the directions of failure planes with varying inclination of the weankness planes and confining pressure. Among three distribution functions, the function based on the directional projection of the strength parameter tensor yields the highest axial strength, while the axial strength estimated by the oblate spheroidal distribution function is the lowest.

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