• Title/Summary/Keyword: 파괴조건식

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Experimental Analysis of Nodal Head-outflow Relationship Using a Model Water Supply Network for Pressure Driven Analysis of Water Distribution System (상수관망 압력기반 수리해석을 위한 모의 실험시설 기반 절점의 압력-유량 관계 분석)

  • Chang, Dongeil;Kang, Kihoon
    • Journal of Korean Society of Environmental Engineers
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    • v.36 no.6
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    • pp.421-428
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    • 2014
  • For the analysis of water supply network, demand-driven and pressure-driven analysis methods have been proposed. Of the two methods, demand-driven analysis (DDA) can only be used in a normal operation condition to evaluate hydraulic status of a pipe network. Under abnormal conditions, i.e., unexpected pipe destruction, or abnormal low pressure conditions, pressure-driven analysis (PDA) method should be used to estimate the suppliable flowrate at each node in a network. In order to carry out the pressure-driven analysis, head-outflow relationship (HOR), which estimates flowrate at a certain pressure at each node, should be first determined. Most previous studies empirically suggested that each node possesses its own characteristic head-outflow relationship, which, therefore, requires verification by using actual field data for proper application in PDA modeling. In this study, a model pipe network was constructed, and various operation scenarios of normal and abnormal conditions, which cannot be realized in real pipe networks, were established. Using the model network, data on pressure and flowrate at each node were obtained at each operation condition. Using the data obtained, previously proposed HOR equations were evaluated. In addition, head-outflow relationship at each node was analyzed especially under multiple pipe destruction events. By analyzing the experimental data obtained from the model network, it was found that flowrate reduction corresponding to a certain pressure drop (by pipe destruction at one or multiple points on the network) followed intrinsic head-outflow relationship of each node. By comparing the experimentally obtained head-outflow relationship with various HOR equations proposed by previous studies, the one proposed by Wagner et al. showed the best agreement with the exponential parameter, m of 3.0.

Numerical Investigation of the Radial Convergence of Circular Tunnel Excavated in Rock Mass for Generalized Hoek-Brown (일반화된 Hoek-Brown 암반에 굴착된 원형터널의 내공변위 특성 분석)

  • Lim, Kwang-Ok;Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.28 no.1
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    • pp.59-71
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    • 2018
  • Since the generalized Hoek-Brown (GHB) function predicts the strength of the jointed rock mass in a systematic manner by use of GSI index, it is widely used in rock engineering practices. In this study, a series of 2D elasto-plastic FE analysis, which adopts the GHB criterion as a yield function, was carried out to investigate the radial convergence characteristics of circular tunnel excavated in the GHB rock mass. The effect of the plastic potential function on the elasto-plastic displacement was also examined. In the analysis, the wide range of both the $K(={\sigma}_h/{\sigma}_v)$ and GSI values are considered. For each K value, the variation of the ratio of sidewall displacement to roof displacement was calculated with varying GSI values and the obtained displacement patterns were analysed. The calculation results show that the displacement ratio significantly depends not only on the K value but also on the range of GSI value. In particular, for lower range of GSI value, the displacement ratio pattern calculated in the elasto-plastic regime is opposite to that predicted by the elasticity theory. In addition, the variation of the radial displacement ratio with GSI value for different types of plastic potential function showed similar trend.

A Study on the Characteristics of Behavior of Block-type Reinforced Earth Retaining Wall Considering Failure Surface (파괴면을 고려한 블록식 보강토 옹벽의 거동 특성 연구)

  • Yoon, Won-Sub;Park, Jun-Kyu;Chae, Young-Su
    • Journal of the Korean Geosynthetics Society
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    • v.15 no.3
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    • pp.13-26
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    • 2016
  • In this study, more economical than conventional reinforced soil retaining walls, we compared the behavior characteristic about the safety block type numerically for reinforced retaining wall. In this study, reinforced soil retaining wall, first, was integrated a wall putting shear key on the blocks. Second, construction reinforcement focused on the theoretical failure surface was satisfied with the stability of a retaining wall reinforced by a shear plane. when analyzing, element of using reinforcement was carried out a numerical analysis for the cable element and the strip element, and they were analyzed under the conditions according to the stiffener length, distance, with or without shear key. Analysis for the integration of the front wall was reinforced soil retaining walls by installing a larger displacement shear key confinement effect, if reinforced construction and reinforcement with 1 interval and 2 interval, the failure surface was bigger displacement constraints. Generating a deformation amount was smaller than the generation amount of deformation accrued during construction of AASHTO so that it was stable.

疲勞와 破壞力學 (II)

  • 최용식
    • Journal of the KSME
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    • v.17 no.1
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    • pp.32-39
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    • 1977
  • 파괴역할적으로 피로문제를 다룰 때는 언제나 crack의 존재를 전재로 한다. 재료가 피로하중을 받아 파괴에이르는 과정의 설명은, 일차적으로는 피로에의한 crack의 발생이고, 다음단계로는 발 생한 crack들의 상호연결 또는 성장을 거쳐 최종적으로 파단에 이른다는 순서로 이루어진다고 보 기 때문이다. 또한, crack의 존재를 전제로 하더래도 crack청단의 응력장이 탄성론적으로 해석될 수 있어야함도 절대적인 전제가 되고 있다. 모든 피로제엔 각경형태의 crack발생, 성장이 관찰되 고 있는데, 이들 모든 crack들이다. 파괴역학적으로 다루어 질 수 있는 것은 물론 아니고, 아직도 K해석이 도어있지 않은 crack들이 많이 남아 있는 것이다. 예컨대 회전굽힘 피로시험편에서 관찰 되는 각종 형태의 표면피로 crack들은 응력해석의 곤란 때문에 아직은 이들에 적용시킬 K의 표 식이 없는 실정이라 하겠다. 이들 crack에 대해서는 K해석 뿐만 아니고, 피로역학적인 다른 Factor 즉 $r_{p}$라든가 .phi.같은 것들도 이해색상태에 있어 이 분야에의 연구가 많이 기대되고 있는 실정이다. Crack에 대한 연구는, 그것이 파괴의 전제가 되기 때문에 큰 의의를 갖는다고 보 겠는데 표면 Crack이 연결 또는 성장해서 시편의 전주를 완전히 일주 했어도 그것만으로는 바로 재료의 파괴에 직결이 되지 않는 것도 이 시험편의 특색이라 하겠다. 물론 회전굽힘 피로시험편 외에도 K해석이 되어있지 않은 경우는 아직도 많으며, K가 해석되어 있는 경우에 대해서도 정확 한 경계조건 등을 잘 검토해 가면서 응용함이 옳을 것이다. 화전굽힘피로의 경우나 그밖의 예에 서와같이 정확한 K해석이 이루어져 있지 않드래도 연구자에 따라 "Effective Streess Intensity Factor"라는 것을 쓰는 예도 왕왕있는데, 이에는 상당한 검토와 타당성제가 요구되고 있으며, 그 사용가능성여부에 대해서는 논란이 많이 따르는데 상례이기도 하다. 몇가지의 피로구열해석예를 들어보기로 한다. 들어보기로 한다.

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Experimental Study on the Shear Strength Characteristics of the Saturated Sand (포화(飽和)모래의 전단강도특성(剪斷强度特性)에 관(關)한 실험적(實驗的) 연구(研究) -대구지역(大邱地域) 낙동강(洛東江) 모래에 대해-)

  • Kim, Young Su;Seo, In Shik;Kim, Byoung Tak
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1417-1431
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    • 1994
  • In this study, shear strength characteristics of the Nak-Dong river sand in Taegu area are investigated by triaxial compression test, considering shear strain control velocity, relative density, and confining pressure. The results from Lade model and Modified Lade model are compared with the measured value in the laboratory test. The results by the change of shear strain control velocity, relative density, and confining pressure are as follows; 1) The stress limit, which can be Coulomb's law about the Nak-Dong river sand, have ranged 120~200 kpa at 0.08%/min and 120~150 kpa at 0.5%/min. These limits are smaller than that of the calcareous sand and the well-graded, quartz sand. 2) The parameters needed to Lade model and Modified Lade model are much affected by the strain control velocity and the relative density. Consequently, in the field, it is important to use parameters aptly after accurately understanding both the loading condition and subsoil condition. 3) Overall, the principal stress ratio obtained from constitutive model equations is not affected by the control velocity, but both the relative density and confining pressure affect the result of constitutive model equations. Consequently, the study on the various conditions about the relative density and confining pressure is needed to accurately predict the stress-strain behavior on the Nak-Dong river sand. 4) For the range of the used confining pressure in the study, the Lade model shows better agreements with the measured value than the Modified Lade model, comparing the measured value with the principal stress ratio at failure and the internal friction angle of failure envelope obtained from the Lade model and Modified Lade model.

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Spatial Distribution Functions of Strength Parameters for Simulation of Strength Anisotropy in Transversely Isotropic Rock (횡등방성 암석의 강도 이방성 모사를 위한 강도정수 공간분포함수)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.26 no.2
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    • pp.100-109
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    • 2016
  • 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.

Reliability Analysis on Stability of Armor Units for Foundation Mound of Composite Breakwaters (혼성제 기초 마운드의 피복재 안정성에 대한 신뢰성 해석)

  • Cheol-Eung Lee
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.35 no.2
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    • pp.23-32
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    • 2023
  • Probabilistic and deterministic analyses are implemented for the armor units of rubble foundation mound of composite breakwaters which is needed to protect the upright section against the scour of foundation mounds. By a little modification and incorporation of the previous empirical formulas that has commonly been applied to design the armor units of foundation mound, a new type formula of stability number has been suggested which is capable of taking into account slopes of foundation mounds, damage ratios of armor units, and incident wave numbers. The new proposed formula becomes mathematically identical with the previous empirical formula under the same conditions used in the developing process. Deterministic design have first been carried out to evaluate the minimum weights of armor units for several conditions associated with a typical section of composite breakwater. When the slopes of foundation mound become steepening and the incident wave numbers are increasing, the bigger armor units more than those from the previous empirical formula should be required. The opposite trends however are shown if the damage ratios is much more allowed. Meanwhile, the reliability analysis, which is one of probabilistic models, has been performed in order to quantitatively verify how the armor unit resulted from the deterministic design is stable. It has been confirmed that 1.2% of annual encounter probability of failure has been evaluated under the condition of 1% damage ratio of armor units for the design wave of 50 years return period. By additionally calculating the influence factors of the related random variables on the failure probability due to those uncertainties, it has been found that Hudson's stability coefficient, significant wave height, and water depth above foundation mound have sequentially been given the impacts on failure regardless of the incident wave angles. Finally, sensitivity analysis has been interpreted with respect to the variations of random variables which are implicitly involved in the formula of stability number for armor units of foundation mound. Then, the probability of failure have been rapidly decreased as the water depth above foundation mound are deepening. However, it has been shown that the probability of failure have been increased according as the berm width of foundation mound are widening and wave periods become shortening.

Development and Application of Mode II Fracture Toughness Test Method Using Rock Core Specimen (시추코어를 이용한 암석의 mode II 파괴인성 시험법 개발과 적용)

  • Jung, Yong-Bok;Park, Eui-Seob;Kim, Hyunwoo
    • Tunnel and Underground Space
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    • v.26 no.5
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    • pp.396-408
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    • 2016
  • Rock fracture mechanics has been widely applied to various fields of rock and civil engineering. But most researches covered mode I behavior, though mode II behavior is dominant in rock engineering. Until now, there is only one ISRM suggested method for mode II toughness of rock. A new SCC (Short Core in Compression) mode II toughness test method was developed considering 1) application of confining pressure, 2) easiness of notch creation, 3) utilization of existing equipment, 4) simple test procedure. The stress intensity factors were determined by 3D finite element method considering line and distributed loading conditions. The tests with granite specimens were carried out using MTS 815 rock test system with a loading rate of 0.002 mm/s. The mean value of mode II fracture toughness of granite showed $2.33MPa{\sqrt{m}}$. Mode I toughness of the same granite was $1.12MPa{\sqrt{m}}$, determined by Brazilian disk test and $K_{IIC}/K_{IC}=2.08$. The smooth fracture surface with rock powder formation also supported mode II behavior of SCC method. The SCC method can be used for the determination of mode II fracture toughness of rocks based on the current results.

Evaluation on Bearing Resistance of Transverse Members in Steel Strip Reinforcement using Pullout Tests and Theoretical Equations (인발시험과 이론식을 이용한 강재스트립 보강재에 설치된 지지부재의 지지저항 특성 평가)

  • Han, Jung-Geun;Yoon, Won-Il;Hong, Ki-Kwon;Hong, Won-Pyo;Lee, Kwang-Wu;Cho, Sam-Deok
    • Journal of the Korean Geosynthetics Society
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    • v.9 no.2
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    • pp.33-40
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    • 2010
  • In this study, the pullout tests are conducted to evaluate pullout resistance of steel strip reinforcement with transverse members. The test results are compared with theoretical equations and then the failure mechanism of transverse members is evaluated. The bearing resistance stress(${\sigma}^{\prime}_b$) of transverse members, which is applied pullout force at 50mm displacement, is closed from punching shear failure to general shear failure. The behavior by increment of a number of transverse members became closer to general shear failure. The behavior of transverse members at maximum pullout force, which is closed to general shear failure, is indicated that it is unrelated to normal stress and a number of transverse members. However, if the allowable displacement of reinforced soil wall is considered, it is impossible to apply in design. The test results are compared with bearing resistance evaluations using Prandtl's plastic theory and cylindrical cavity expansion theory. The analysis results are indicated that the bearing resistance by pullout tests is closed to predicted result by Prandtl's plastic theory, which are located between general shear failure and punching shear failure.

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Application of Slip-line Method to the Evaluation of Plastic Zone around a Circular Tunnel (원형터널 주변의 소성영역 평가를 위한 slip-line 해석법 활용)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.32 no.5
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    • pp.312-326
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    • 2022
  • The generalized Hoek-Brown (GHB) criterion, which is recognized as one of the standard failure conditions for rock mass, is specialized for rock engineering applications and covers a wide range of rock mass conditions. Accordingly, many research efforts have been devoted to the incorporation of this criterion into the stability analysis of rock structures. In this study, the slip-line analysis method, which is a kind of elastoplastic analysis method, is combined with the GHB failure criterion to derive analytical equations that can easily calculate the plastic radius and stress distribution in the vicinity of the circular tunnel. In the process of derivation of related formulas, it is assumed that the behavior of rock mass after failure is perfectly plastic and the in-situ stress condition is hydrostatic. In the formulation, it is revealed that the plastic radius can be calculated analytically using the two respective tangential friction angles corresponding to the stress conditions at tunnel wall and elastic-plastic boundary. It is also shown that the plastic radius and stress distribution calculated using the derived analytical equations coincide with the results of Lee & Pietruszczak's numerical method published in 2008. In the latter part of this paper, the influence of the quality of the rock mass on the size of the plastic zone, the stress distribution, and the change of the tangential friction angle was investigated using the derived analytical equations.