• Title/Summary/Keyword: Mohr-Coulomb

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Relationship between Tangential Cohesion and Friction Angle Implied in the Generalized Hoek-Brown Failure Criterion (일반화된 Hoek-Brown 파괴조건식에 내포된 접선점착력과 접선마찰각의 상관성)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.24 no.5
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    • pp.366-372
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    • 2014
  • The generalized Hoek-Brown (H-B) function provides a unique failure condition for a jointed rock mass, in which the strength parameters of rock mass are deduced from the intact values by use of the GSI value. Since it is actually the only failure criterion which accounts for the rock mass conditions in a systematic manner, the generalized H-B criterion finds many applications to the various rock engineering projects. Its nonlinear character, however, limits more active usage of this criterion. Accordingly, many attempts have been made to understand the generalized H-B condition in the framework of the M-C function. This study presents the closed-form expression relating the tangential cohesion to the tangential friction angle, which is derived by the non-dimensional stress transformation of the generalized H-B criterion. By use of the derived equation, it is investigated how the relationship between the tangential cohesion and friction angle of the generalized H-B criterion varies with the quality of rock masses. When only the variation of GSI value is considered, it is found that the tangential friction angle decreases with the increase of GSI, while the tangential cohesion increases with GSI value.

Equivalent Friction Angle and Cohesion of the Generalized Hoek-Brown Failure Criterion in terms of Stress Invariants (응력불변량으로 표현한 일반화된 Hoek-Brown 파괴조건식의 등가 마찰각 및 점착력)

  • Lee, Youn-Kyou;Choi, Byung-Hee
    • Tunnel and Underground Space
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    • v.22 no.6
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    • pp.462-470
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    • 2012
  • Implementing the generalized Hoek-Brown failure criterion in the framework of the Mohr-Coulomb criterion requires the calculation of the equivalent friction angle and cohesion. In the conventional method based on the Balmer (1952)'s theory, the tangential instantaneous friction angle and cohesion are expressed in terms of the minimum principal stress ${\sigma}_3$, which does not provide the information about the dependency of the equivalent parameters on the hydrostatic pressure and the stress path. In this study, this defect of the conventional method has been overcome by representing the equivalent parameters in terms of stress invariants. Through the example implementation of the new method, the influence of the magnitude of the hydrostatic pressure and the Lode angle on the tangential instantaneous friction angle and cohesion is investigated. It turns out that the tangential instantaneous friction angle is maximum when the stress condition is triaxial extension, while the tangential cohesion is maximum when the stress condition is triaxial compression. The dependency of the equivalent Mohr-Coulomb strength parameters on the hydrostatic pressure and the Lode angle tends to be more substantial for the favorable rockmass of larger GSI value.

수압 터널의 해석 및 적용 사례

  • Jang, Seung-Jin;Lee, Seong-Suk;Kim, Ju-Beom
    • Geotechnical Engineering
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    • v.12 no.3
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    • pp.165-173
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    • 1996
  • 본 기술 자료에서는 수압 터널에서 침투 수압을 고려한 터널 주위 암반의 응력 상태에 대한 수치 해석 방법, 해석 결과의 이용에 대하여 실제 수압 터널의 예를 들어 소개한다. 수압 터널의 안전성은 터널 주위 암반의 안전성에 의해 좌우되며 암반의 안전성은 Mohr-Coulomb의 파괴론을 사용하여 암반의 응력에 대한 안전율을 산정하여 판단한다. 산정된 암반의 안전율과 실제 수압 터널의 거동을 비교하여 수치 해석의 적정성을 판단하며 수압 터널의 보강 방법을 제안한다.

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개량형 일면직접전단시험기의 제작과 정체적.정압조건의 전단시험에 대하여

  • 김재영;류동훈;이재성;대도소언
    • Geotechnical Engineering
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    • v.20 no.5
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    • pp.58-65
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    • 2004
  • 일반적으로 토압, 사면안정, 기초의 지지력 계산 등에 이용하는 강도정수를 결정하기 위한 시험법으로는 일축$.$삼축시험과 직접전단시험이 많이 이용되고 있다. 일축$.$삼축시험은 흙 공시체를 축방향으로 압축 또는 신장 파괴시켜서 압축강도를 구하는 것으로, 활동면의 응력을 Mohr-Coulomb의 파괴 기준으로부터 간접적으로 구하기 때문에 간접전단시험으로 불리고 있다. 특히. 삼축시험은 공시체의 주응력 상태가 명확하기 때문에 연구$.$실용면에서 폭넓게 이용되고 있다. (중략)

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Prediction of Bonding Failure Load of RC Beams Strengthened by Externally Bonded Steel Plates (강판으로 보강된 RC보의 부착파괴하중 예측)

  • 박윤재;신동혁;이광명;신현목
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.10a
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    • pp.729-732
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    • 1999
  • In this paper, the Mohr-Coulomb criterion was adopted to predict the bonding failure load of the reinforced concrete beams strengthened by the externally bonded steel plates. Based on this criterion, a nonlinear analysis program of APSB(Analysis Program for Strengthened Beams) and nonlinear finite element analysis program of RCSD-SB (Reinforced Concrete Structural Design - Strengthened Beams) were developed. Numerical results were then compared with experimental results and good agreements were obtained.

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Stress-Strain Relations of Plain and Confined Concrete (횡보강 효과를 고려한 콘크리트의 응력-변형도 관계)

  • 김진근;이태규;서용표
    • Proceedings of the Korea Concrete Institute Conference
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    • 1990.04a
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    • pp.116-121
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    • 1990
  • Baxed on the results tested by various researchers, a complete stress-strain relation of plain and confined concrete is proposed. The peak strength and the corresponding strain are calculated by using the Mohr-Coulomb theory and elastic tri-axial constitutive relation. A parametric study was conducted to assess the influence of the plain concrete strength, the degree of confinement, the shape of the section, and the tie configuration for the square section. According to this model, the behavior of concrete section is predicted, and compared with experimental data and other proposed models on circular and square sections. A good agreement between theoretical and experimental results is observed.

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Stochastic Finite Element Analysis of Underground Structure considering Elasto-Plastic Behavior (탄소성을 고려한 지하구조체의 확률유한요소해석)

  • 김상효;나경웅
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.157-164
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    • 1998
  • An elasto-plastic stochastic finite element method is developed to evaluate the probability of failure of the underground structure. The Mohr-Coulomb failure criteria is adopted for yield condition. The material properties such as the elastic modulus and the cohesion are assumed to be statistically independent random variables which are modeled as spatial stochastic fields. The displacements around the excavated area and the probability of the failure are examined by varying the coefficient of variance for each variables. It is found that the developed procedure can provide the proper probabilistic information about the failure of the underground structure

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Characteristics of Shear Transfer in Joint Interface Consisting of Different Materials (이종재료의 타설면을 가지는 접합계면의 전단전달 특성)

  • 김태곤;김화중
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10b
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    • pp.1133-1138
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    • 2000
  • The interface necessarily exists in joints using cement mortar, UP(Unsaturated Polyester : UP) mortar and SBR(SBR-latex) mortar. Characteristics of shear transfer in joint interface consisting of different materials are studied with experimental and analytical methods. The uniaxial compressive shear experiments are accomplished with various angle of inclination (35, 45, 55, 65, 75°), materials of old and new-cast mortar. In this study, The results are as follows ① Mohr-coulomb's slip theory be applied to the interface consisting different materials ② The cohesion of UP mortar is superior to that f cement mortar, SBR mortar.

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Universal Distinct Element Code (개별요소 프로그램 UDEC의 소개)

  • 이선구;변광욱
    • Computational Structural Engineering
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    • v.4 no.1
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    • pp.42-43
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    • 1991
  • 균열성암반의 모형화 기술은 계속적으로 보완발전되어 UDEC이 개발되었으며, 현재 UDEC의 최신판은 블록 내부를 다시 유한차분요소로 분할하여 블록의 소성거동(Mohr-Coulomb Model) 및 쪼개짐을 고려할 수 있고, 절리면에서의 유체흐름 및 유압의 발생, 그리고 열응력 해석 등 평면변형 문제의 정적해석과 지진 및 폭발하중을 고려한 동적해석이 가능하다. UDEC은 전처리 기능이 뛰어나 최소한의 입력데이타로써 전체 모형의 데이타를 자동생성시키며 절리면의 통계학적 자동생성 및 터널형상의 자동생성도 가능하다. UDEC은 실용적인 보강요소를 구비하여 Rock Bolt 뿐만 아니라 그라우트를 고려한 Cable Bolt를 모형화할 수 있으며 국부적인(Key Block)보강으로써 불연속체 전체의 안정을 검토할 수 있다.

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Static behavior of a laterally loaded guardrail post in sloping ground by LS-DYNA

  • Woo, Kwang S.;Lee, Dong W.;Yang, Seung H.;Ahn, Jae S.
    • Geomechanics and Engineering
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    • v.15 no.5
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    • pp.1101-1111
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    • 2018
  • This study aims to present accurate soil modeling and validation of a single roadside guardrail post as well as a single concrete pile installed near cut slopes or compacted sloping embankment. The conventional Winkler's elastic spring model and p-y curve approach for horizontal ground cannot directly be applied to sloping ground where ultimate soil resistance is significantly dependent on ground inclination. In this study, both grid-based 3-D FE model and particle-based SPH (smoothed particle hydrodynamics) model available in LS-DYNA have been adopted to predict the static behavior of a laterally loaded guardrail post. The SPH model has potential to eliminate any artificial soil stiffness due to the deterioration of the node-connected Lagrangian soil mesh. For this purpose, this study comprises two parts. Firstly, only 3-D FE modeling has been tested to show the numerical validity for a single concrete pile in sloping ground using Mohr-Coulomb material. However, this material option cannot be implemented for SPH elements. Nevertheless, Mohr-Coulomb model has been used since this material model requires six input soil data that can be obtained from the comparative papers in literatures. Secondly, this work is extended to compute the lateral resistance of a guardrail post located near the slope using the hybrid approach that combines Lagrange FE elements and SPH elements by the suitable node-merging option provided by LS-DYNA. For this analysis, the FHWA soil material developed for application to road-base soils has been used and also allows the application of SPH element.