• Title/Summary/Keyword: Mohr method

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A Finite Element Analysis of Circular Plate Resting on Elasto-Plastic Soil Medium (탄소성(彈塑性) 지반(地盤)위에 놓인 원형평판(圓形平板)의 유한요소(有限要素) 해석(解析))

  • Kim, Sung Deuk;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.4
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    • pp.91-102
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    • 1987
  • In this study, the finite element method using 8-node isoparametric element is developed theoretically and simulated to see the deformation of soil and plate, when the circular plate resting on Boussinesq's soil type is loaded axisymmetrically. The results of numerical analysis using the Mohr-Coulomb yield criterion, and experimental analysis are approximative, assuming that soil is elasto-plastic medium. The paper shows that the plastic zone of soil medium is displayed at the near the edge of plate at the first place; when the plastic zone of soil medium is linked around central axis, the external load is termed by critical load, and then the contact pressure changes abruptly, in this case it is approved to be the risk of shear failure.

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Stress Analysis in Nodal Zone by using Complementary Pole Method (Complementary Pole을 이용한 Nodal Zone의 응력해석)

  • Kang, Sung-Hun;Hong, Sung-Gul
    • Proceedings of the Korea Concrete Institute Conference
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    • 2010.05a
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    • pp.53-54
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    • 2010
  • This study investigates stress analysis in nodal zone by using Complementary Pole Method (CPM). The CPM is convenient tools for the stress or strain analysis since it enables to express parallel directions of the normal stress or strain on the Mohr Circle. In this study, it is suggested to use of CPM to analysis stress or strain in the field of Concrete Plasticity.

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Estimation of Equivalent Friction Angle and Cohesion of Near-Surface Rock Mass Using the Upper-Bound Solution for Bearing Capacity of Strip Footing (줄기초 지지력 상계해를 활용한 천부 암반의 등가마찰각과 등가점착력 산정)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.25 no.3
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    • pp.284-292
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    • 2015
  • The generalized Hoek-Brown failure criterion, the strength parameters of which are determined by using the GSI index, is an empirical nonlinear failure criterion of rock mass and has been widely employed in various rock engineering practices. Many rock engineering practitioners, however, are still familiar with the description of the strength of rock mass in terms of friction angle and cohesion. In addition, almost all rock mechanics softwares incorporate the simple linear Mohr-Coulomb function. Therefore, it is necessary to provide a tool to implement the Hoek-Brown function in the framework of the Mohr-Coulomb criterion. In this study, the use of upper-bound solution of limit analysis for bearing capacity of a strip footing resting on the ground surface is proposed for the estimation of the equivalent friction angle and cohesion of rock mass incorporating the generalized Hoek-Brown failure criterion. The upper-bound bearing capacity is expressed in terms of friction angle by use of the relationship between tangential friction angle and tangential cohesion implied in the generalized Hoek-Brown function. The friction angle minimizing the upper-bound bearing capacity is taken as the equivalent friction angle. Through the illustrative implementations of the proposed method, the influences of GSI, $m_i$ and D on the equivalent friction angle and cohesion are investigated.

A Numerical Study on the Progressive Brittle Failure of Rock Mass Due to Overstress (과지압으로 인한 암반의 점진적 취성파괴 과정의 수치해석적 연구)

  • Choi Young-Tae;Lee Dae-Hyuck;Lee Hee-Suk;Kim Jin-A;Lee Du-Hwa;You Kwang-Ho;Park Yeon-Jun
    • Tunnel and Underground Space
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    • v.16 no.3 s.62
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    • pp.259-276
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    • 2006
  • In rock mass subject to high in-situ stresses, the failure process of rock is dominated by the stress-induced fractures growing parallel to the excavation boundary. When the ratio of in situ stresses compared to rock strength is greater than a certain value, progressive brittle failure which is characterized by popping and spatting of rock debris occurs due to stress concentration. Traditional constitutive model like Mohr-Coulomb usually assume that the normal stress dependent frictional strength component and the cohesion strength component are constant, therefore modelling progressive brittle failure will be very difficult. In this study, a series of numerical analyses were conducted for surrounding rock mass near crude oil storage cavern using CW-FS model which was known to be efficient for modelling brittle failure and the results were compared with those of linear Mohr-Coulomb model. Further analyses were performed by varying plastic shear strain limits on cohesion and internal friction angle to find the proper values which yield the matching result with the observed failure in the oil storage caverns. The obtained results showed that CW-FS model could be a proper method to characterize essential behavior of progressive brittle failure in competent rock mass.

Estimating Unsaturated Shear Strength and Yield Load of Compacted Aggregate Sub-base Materials (다져진 보조기층 재료의 불포화 전단강도 및 항복하중 평가)

  • Jeon, Hye-Ji;Park, Seong-Wan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.4D
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    • pp.571-576
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    • 2011
  • In general, conventional road pavements are designed under the assumption that the shear strength of geomaterials are under saturated state. In reality, however, most of the pavement geomaterials exists under the unsaturated state. To deal with this gap between saturated and unsaturated conditions, in this paper, unsaturated shear strength was estimated using the results from the triaxial compression test and soil-water characteristics curves. Then, yield loads were assessed using 2-Dimensional finite element method with the selected nonlinear elastic model and the Mohr-Coulomb yield criteria. In addition, various unsaturated condition and surface layer effects on the yield load of granular materials were identified. Therefore, the results demonstrated would provide a possibility to estimate bearing capacity of paved or unpaved roads using unsaturated soil mechanics.

Finite Element Analysis to Predict Design Loads of Circular Foundation (원형기초의 설계하중 예측을 위한 유안요소해석)

  • 김성득;김미룡
    • Geotechnical Engineering
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    • v.5 no.1
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    • pp.19-26
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    • 1989
  • In this study, the finite element method for nonlinear problems is developed theroretically to see the design loads of foundation, when the circular plate resting on elasto-viscoplastic soil medium is loaded axisymmetrically. The paper shows that the plastic zone of soil medium is displayed at the near the edge of plate at the first place; when the plastic zone of soil medium is linked around central axis, the external load is termed by allowable load or design load, and then the contact pressure changes abruptly, in this case it is approved to be the risk of shear failure. The results of numerical analysis using the Mohr-Coulomb yield criterion, and experimental analysis for a appropriate safety factor are approximative, but numerical results are smaller than the value based on Terzaghi's theory.

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Characterization of bromine and chlorine in the closed combustion system (연소 반응기를 이용한 브롬 및 염소의 함량 측정에 관한 연구)

  • Choi, Ki-In;Kwon, Duck-Jun;Bae, Sung-Jin;Lee, Dong-Hoon
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.21 no.6
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    • pp.274-279
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    • 2011
  • In this study, we investigated the analytical methods for bromine (Br) and chloride (Cl) with oxygen combustion bomb, using a halogen-containing polymer materials. On measuring Cl content, it showed less reproducibility of the results applying Mohr method or potentiometric titration method than those applying acid-base titration method. In both Br and Cl tests with an oxygen combustion bomb, their concentrations in the absorption and cleaning solution with distilled water were much higher than those in the combustion gas. On the other hand, the concentration level of Br measured by the oxygen combustion bomb method were a little bit lower than those measured by XRF or combustionion chromatography.

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.

Numerical Simulation of Dynamic Soil-pile-structure Interaction in Liquefiable Sand (액상화 가능한 지반에 근입된 지반-말뚝-구조물 동적 상호작용의 수치 모델링)

  • Kwon, Sun-Yong;Yoo, Min-Taek;Kim, Seok-Jung
    • Journal of the Korean Geotechnical Society
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    • v.34 no.7
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    • pp.29-38
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    • 2018
  • Three-dimensional continuum modeling of dynamic soil-pile-structure interaction embedded in a liquefiable sand was carried out. Finn model which can model liquefaction behavior using effective stress method was adopted to simulate development of pore water pressure according to shear deformation of soil directly in real time. Finn model was incorporated into Non-linear elastic, Mohr-Coulomb plastic model. Calibration of proposed modeling method was performed by comparing the results with those of the centrifuge tests performed by Wilson (1998). Excess pore pressure ratio, pile bending moment, pile head displacement-time history according to depth calculated by numerical analysis agreed reasonably well with the test results. Validation of the proposed modeling method was later performed using another test case, and good agreement between the computed and measured values was observed.

Stress Analysis of Arctic Thaw Settlement with Gas Pipeline using Finite Element Method (유한요소해석을 활용한 극한지 융해침하에 따른 천연가스배관의 응력해석)

  • Kim, Kyung Il;Yeom, Kyu Jung;Kim, Young-Pyo;Kim, Woo Sik;Oh, Kyu Hwan
    • Journal of the Korean Institute of Gas
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    • v.18 no.5
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    • pp.78-84
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    • 2014
  • It is important to secure the supply of gas in arctic region which is not developed recently due to depleting of fossil fuel. It is competing in order to secure the arctic region. The need for the occurring the pipeline design in arctic region is essential for development. In this study, we develop the model of thaw settlements for analysis the stress and displacement which applied with pipe in arctic region between $-40^{\circ}C$ to $20^{\circ}C$. The soil was applied with Mohr-coulomb theory and pipe was elasto-plastic method.