• Title/Summary/Keyword: Coulomb-Mohr Criterion

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A Geotechnical Parameter Estimation of Underground Structures in Elasto -plastic Condition (지하공간 건설시 탄.소성 모델에 의한 지반계수 추정)

  • Lee, In-Mo;Kim, Dong-Hyeon;Lee, U-Jin
    • Geotechnical Engineering
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    • v.13 no.4
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    • pp.85-94
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    • 1997
  • The design and construction of underground structures contain many substantial mincer dainties. A reasonable estimation of geotechnical parameters is of paramount importance and must be one of the most difficult tasks in designing and constructing underground structures. If the plastic zone exists by tunnel excavation, the ground response may also be dependent on the yield criterion mainly composed of strength parameters. In order to estimate unknown model parameters from the in-situ measurements as well as prior estimates for designing tunnels which have plastic zones, the Extended Bayesian Method(EBM) is adopted : an elasto-plastic finite element program is linked to the EBM as a mathematical model to predict the ground response. Mohr-Coulomb failure criterion is used to represent the plastic behavior. A hypothetical underground site, where the ground behaves elasto-plastically, is adopted to demonstrate the validity of the proposed feedback system.

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Approximate Analytical Formula for Minimum Principal Stress Satisfying the Generalized Hoek-Brown Failure Criterion (일반화된 Hoek-Brown 파괴기준식을 만족하는 최소주응력의 해석적 근사식)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.31 no.6
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    • pp.480-493
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    • 2021
  • Since the generalized Hoek-Brown criterion (GHB) provides an efficient way of identifying its strength parameter values with the consideration of in-situ rock mass condition via Geological Strength Index (GSI), this criterion is recognized as one of the standard rock mass failure criteria in rock mechanics community. However, the nonlinear form of the GHB criterion makes its mathematical treatment inconvenient and limits the scope of its application. As an effort to overcome this disadvantage of the GHB criterion, the explicit approximate analytical equations for the minimum principal stress, which is associated with the maximum principal stress at failure, are formulated based on the Taylor polynomial approximation of the original GHB criterion. The accuracy of the derived approximate formula for the minimum principal stress is verified by comparing the resulting approximate minimum principal stress with the numerically calculated exact values. To provide an application example of the approximate formulation, the equivalent friction angle and cohesion for the expected plastic zone around a circular tunnel in a GHB rock mass are calculated by incorporating the formula for the approximate minimum principal stress. It is found that the simultaneous consideration of the values of mi, GSI and far-field stress is important for the accurate calculation of equivalent Mohr-Coulomb parameter values of the plastic zone.

A set of failure variables for analyzing stability of slopes and tunnels

  • Kim, Jun-Mo;Lee, Sungho;Park, Jai-Yong;Kihm, Jung-Hwi;Park, Sangho
    • Geomechanics and Engineering
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    • v.20 no.3
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    • pp.175-189
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    • 2020
  • A set of relatively simple five local shear and tension failure variables is presented and then implemented into a generalized poroelastic hydromechanical numerical model to analyze failure potential and stability of variably saturated geologic media. These five local shear and tension failure variables are formulated from geometrical relationships between the Mohr circle and the Mohr-Coulomb failure criterion superimposed with the tension cutoff, which approximate together the Mohr effective stress failure envelope. Finally, fully coupled groundwater flow and land deformation in two variably saturated geologic media, which are associated with a slope (Case 1) and a tunnel (Case 2), respectively, and their failure potential and stability are simulated using the resultant hydromechanical numerical model. The numerical simulation results of both cases show that shear and tension failure potential and stability of variably saturated geologic media can be analyzed numerically simply and efficiently and even better by using the five local shear and tension failure variables as a set than by using the conventional factors of safety against shear and tension failures only.

LE analysis on unsaturated slope stability with introduction of nonlinearity of soil strength

  • Deng, Dong-ping;Lu, Kuan;Li, Liang
    • Geomechanics and Engineering
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    • v.19 no.2
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    • pp.179-191
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    • 2019
  • Based on the effective stress principle, a new formula for shear strength of unsaturated soil is derived under the general nonlinear Mohr-Coulomb (M-C) strength criterion to improve the classical strength criterion of unsaturated soil. Meanwhile, the simple irrigation model under steady seepage is adopted to obtain the distribution of the matrix suction or the degree of saturation (DOS) above the groundwater table in the slope. Then, combined with the improved strength criterion of unsaturated soil and the simple irrigation model under steady seepage, the limit equilibrium (LE) solutions for the unsaturated slope stability are established according to the global LE conditions of the entire sliding body with assumption of the stresses on the slip surface. Compared to the classical strength criterion of unsaturated soil, not only the cohesion soil but also the internal friction angle is affected by the matric suction or the DOS in the improved strength criterion. Moreover, the internal friction angle related to the matric suction has the nonlinear characteristics, particularly for a small of the matric suction. Thereafter, the feasibility of the present method is verified by comparison and analysis on some slope examples. Furthermore, stability charts are also drawn to quickly analyze the unsaturated slope stability.

Numerical study on the influence of mesomechanical properties on macroscopic fracture of concrete

  • Zhu, W.C.;Tang, C.A.;Wang, S.Y.
    • Structural Engineering and Mechanics
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    • v.19 no.5
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    • pp.519-533
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    • 2005
  • The numerical simulations on the influence of mesoscopic structures on the macroscopic strength and fracture characteristics are carried out based on that the concrete is assumed to be a three-phase composite composed of matrix (mortar), aggregate and bond between them by using a numerical code named MFPA. The finite element program is employed as the basic stress analysis tool when the elastic damage mechanics is used to describe the constitutive law of meso-level element and the maximum tensile strain criterion and Mohr-Coulomb criterion are utilized as damage threshold. It can be found from the numerical results that the bond between matrix and aggregate has a significant effect on the macroscopic mechanical performance of concrete.

Limit analysis of 3D rock slope stability with non-linear failure criterion

  • Gao, Yufeng;Wu, Di;Zhang, Fei;Lei, G.H.;Qin, Hongyu;Qiu, Yue
    • Geomechanics and Engineering
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    • v.10 no.1
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    • pp.59-76
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    • 2016
  • The non-linear Hoek-Brown failure criterion has been widely accepted and applied to evaluate the stability of rock slopes under plane-strain conditions. This paper presents a kinematic approach of limit analysis to assessing the static and seismic stability of three-dimensional (3D) rock slopes using the generalized Hoek-Brown failure criterion. A tangential technique is employed to obtain the equivalent Mohr-Coulomb strength parameters of rock material from the generalized Hoek-Brown criterion. The least upper bounds to the stability number are obtained in an optimization procedure and presented in the form of graphs and tables for a wide range of parameters. The calculated results demonstrate the influences of 3D geometrical constraint, non-linear strength parameters and seismic acceleration on the stability number and equivalent strength parameters. The presented upper-bound solutions can be used for preliminary assessment on the 3D rock slope stability in design and assessing other solutions from the developing methods in the stability analysis of 3D rock slopes.

Determination of pressure-Dependent Yield . Criterion for Polymeric Foams (폴리머 폼 재료의 정수압 종속 항복조건 결정에 관한 연구)

  • 김영민;강신일
    • Transactions of Materials Processing
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    • v.11 no.1
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    • pp.69-74
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    • 2002
  • In addition to lightweight and moldable characteristics, polymeric foams possess an excellent energy absorbing capability that can be utilize for a wide range of commercial applications, especially in the crashworthiness of the automobiles. The purpose of the present study is to develop experimental methodology to characterize the pressure dependent yield behavior of the energy absorbing polymeric foams. For the compression test in a triaxial stress sate, a specially designed device was placed in a hydraulic press to produce and control oil pressure. For the test material, the polyurethane foams of two different densities were used. The displacement of the specimen, the load subjected to the specimen, and oil pressure applied to the specimen were measured and controlled. Stress strain curves and yield stresses for the four different oil pressure were obtained. It was found from the present experiments that the polyurethane foams exhibited significant increases in yield stress with applied pressure or mean normal stress. Based on this observation, a yield criteria which included the effect of the stress invariant were established for the polymeric foams. The obtained experimental constants which constituted the pressure-dependent yield criterion were verified.

An Evaluation of Interface Shear Strength between Geosynthetic Clay Liner and Geomembrane (토목섬유 점토 차수재(GCL)와 지오멤브레인(GM)의 접촉 전단강도 평가)

  • 서민우;김동진;박준범;박인준
    • Journal of the Korean Geotechnical Society
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    • v.18 no.4
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    • pp.137-146
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    • 2002
  • Geomembrane, compacted clay liner, and geosynthetic clay liner (GCL) are widely used to prevent leachate from leaking to adjacent geo-environment at a municipal solid waste (MSW) landfill. Interface shear strength between GCL and geomembrane installed at a landfill side slope is important properties for the safe design of side liner or final cover systems. The interface shear strength between two geosynthetics was estimated by a large direct shear test in this study. The shear strength was evaluated by the Mohr-Coulomb failure criterion. The effects of normal stress, hydration or dry condition, and a hydration method were investigated. The test results show that the interface shear strength and shear behavior varied depending up on the level of normal stress, the type of geosynthetic combinations, and a hydration method. When GCLs were sheared after being hydrated under 6kPa loading, the results were consistent with those published by other researchers. Summaries of friction angles, normal stress and hydration condition is presented. These friction angles could be used as a reference value at a site where similar geosynthetics are installed.

Evaluation of the Numerical Liquefaction Model Behavior with Drainage Condition (배수조건에 따른 액상화 수치모델의 거동평가)

  • Lee, Jin-Sun;Kim, Seong-Nam;Kim, Dong-Soo
    • Journal of the Korean Geotechnical Society
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    • v.35 no.11
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    • pp.63-74
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    • 2019
  • Numerical liquefaction model and response history analysis procedure are verified based on dynamic centrifuge test results. The test was a part of the Liquefaction Experiments Analysis Project (LEAP). The model ground was formed inside of rigid box by using the submerged Ottawa F65 sand with a relative density of 55% and 5° of surface inclination. A tapered sinusoidal wave with a frequency of 1 Hz was applied to the base of the model box. Numerical analyses were performed by two dimensional finite difference method in prototype scale. The soil is modeled to show hysteretic behavior before shear failure, and Mohr-Coulomb model is applied for shear failure criterion. Byrne's liquefaction model was applied to track the changes in pore pressure due to cyclic loading after static equilibrium. In order to find an appropriate flow condition for the liquefaction analysis, numerical analyses were performed both in drained and undrained condition. The numerical analyses performed under the undrained condition showed good agreement with the centrifuge test results.

Earth Pressures Acting on a Row of Piles due to Lateral Soil Movements (측방변형지반(側方變形地盤)속의 줄말뚝에 작용(作用)하는 토압(土壓))

  • Hong, Won Pyo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.4 no.1
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    • pp.59-68
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    • 1984
  • Theoretical equations are derived to estimate the larteral earth pressures acting on piles with various shape of pile section due to lateral soil movements. And also examination of characteristics of the equations and comparison with other equations are carried out. The equations can be derived by calculating the difference between the two earth pressures acting on front and back sides of pile's row under plastic state satisfying Mohr-Coulomb's yield criterion, which is developed on tile soil between two piles among the piles in a row. The theoretical equations can reasonably consider the pile section-shape, the pile interval and the plastic condition in the soils just around piles. Additionally, the factors about soils and piles influencing on the lateral earth pressures are clarified and the high reliability of the equations is proved.

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