• Title/Summary/Keyword: Hoek-Brown constant $m_i$

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Strength Parameters of Basalts in Jeju Island according to Rock Failure Criterions (암반의 파괴기준에 따른 제주도 현무암의 강도정수)

  • Yang, Soon-Bo
    • Journal of the Korean Geotechnical Society
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    • v.32 no.3
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    • pp.15-27
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    • 2016
  • In this study, a series of triaxial compressive strength tests were conducted for basaltic intact rocks sampled in the northeastern onshore and offshore, southeastern offshore and northwestern offshore of Jeju Island. Hoek-Brown constants $m_i$ were estimated from the results of the triaxial compression tests, and the properties of the Hoek-Brown constants $m_i$ were investigated. In addition, the cohesion and internal friction angle, strength parameters of Mohr-Coulomb failure criterion, obtained from the results of the triaxial compression tests were compared and analyzed with those estimated from Hoek-Brown failure criterion, respectively. As results, it was found that the Hoek-Brown constant $m_i$ is deeply related to the internal friction angle. As the internal friction grows, the Hoek-Brown constant $m_i$ increases exponentially. The cohesions estimated from the Hoek-Brown failure criterion, on average, are approximately 24% higher than those obtained from the Mohr-Coulomb failure criterion. The internal friction angles estimated from the Hoek-Brown failure criterion are similar to those obtained from the Mohr-Coulomb failure criterion.

Estimation of Hoek-Brown Constant mi for the Basaltic Intact Rocks in Jeju Island (제주도 현무암의 Hoek-Brown 계수 mi의 추정)

  • Yang, Soon-Bo
    • Journal of the Korean Geotechnical Society
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    • v.36 no.10
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    • pp.21-31
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    • 2020
  • In this study, Hoek-Brown constants (mi) were calculated through nonlinear regression analyses using the results of the triaxial compression tests for the basaltic intact rocks in Jeju Island. The relationships of the mi with the uniaxial compressive strength (UCS), Brazilian tensile strength (BTS) and UCS/BTS of the Jeju basalts were investigated, respectively. In addition, a method that can be used in determining Hoek-Brown failure envelopes including the tensile and compressive failures of the Jeju basalts has been proposed. As results, the mi values had no clear correlations with the UCS, BTS and UCS/BTS of the Jeju basalts, but there were two strong correlations between UCS and mi/UCS, and between BTS and mi/BTS of the Jeju basalts. In addition, it was found that the tensile strengths calculated by the Hoek-Brown failure criterion underestimate the tensile strengths of the Jeju basalts through the relationship between the mi and UCS/BTS of the Jeju basalts. The method presented in this study is considered to be useful in determining the Hoek-Brown failure envelope for the tensile and compressive failures of the Jeju basalts.

Suggestion of Charts and Equations Estimating the Strength Parameters of Rock Mass Using the Rock Mass Classification Value (RMC 값을 이용한 암반의 강도정수 값 추정도표 및 추정식의 제안)

  • Kim, Min-Kwon;Lee, Yeong-Saeng
    • Journal of the Korean Geotechnical Society
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    • v.30 no.3
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    • pp.73-85
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    • 2014
  • The strength parameters used in rock mass design are mainly estimated by equations using Hoek-Brown failure criterion because the tests to obtain the values are limited and expensive. To estimate the strength parameters, the Hoek-Brown failure criterion should be transformed to the Mohr-Coulomb failure criterion. But the processes are more or less cumbersome due to the several stages including the computation and the analyzing steps. In this study, several rock states of various conditions were modeled and then the strength parameters were estimated using the Hoek-Brown failure criterion. Thereafter by analyzing the results, some charts and equations estimating the strength parameters through only one step or easily in the field using the values of RMC, the uniaxial compressive strength and the rock constant ($m_i$), were suggested. And then the suggested method was compared and discussed with the existing method.

A Comarative study on slope stability modeling of highly fractured rock slopes (절리암반사면의 안정해석 방법에 관한 비교연구)

  • Yoo, Chung-Sik;Kim, Sun-Bin;Yang, Ki-Ho;Jung, Ha-Seung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.434-443
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    • 2009
  • Slope stability analysis is an essential part of rock slope design. For highly fractured rock, the limit equilibrium method (LEM) based slope stability analysis with a circular failure surface is often carried out assuming the rock mass behaves more or less as a continuum. This paper examines first, the applicability of the finite-element method (FEM) based shear strength reduction (SSR) technique for highly fractured rock slope, and second the use of Mohr-Coulomb (MC) failure criterion in conjunction with generalized Hoek-Brown (HB) failure criterion. The numerical results on a number of cases are compared in terms of the factor of safety (FS). The results indicated that the FEM-based SSR technique yields almost the same FSs from LEM, and that the MC and HB failure criteria yield almost identical FSs when the strength parameters for MC failure criterion are obtained based on the modified HB failure criterion if and only if value of the Hoek-Brown constant $m_i$ is smaller than 10 and slope angle is smaller than 1:1, otherwise MC failure criteria over-estimate the factor of safety.

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