• Title/Summary/Keyword: 마찰각

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A Study of Frictional Flow Characteristics of Korean Streams (우리나라 하천의 흐름특성 및 마찰계수 산정)

  • Yoo, Dong-Hoon;Lee, Tae-Hee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.613-618
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    • 2008
  • 본 연구에서는 개수로 마찰흐름 특성에 관한 연구로서 유량조사사업단(2006)의 우리나라 3대강 유역 하천자료와 미국의 Colorado지역 록키산맥 하천 관측자료를 통하여 개수로의 흐름특성을 집중적으로 검토하였다. 개수로 설계에 있어 수로의 흐름해석 및 마찰계수의 정확한 산정은 수로설계의 근간이 된다. 하지만 일반적으로 사용하고 있는 Manning(1889)식은 개수로 흐름특성을 판단하기에 너무 단순하여 상이한 결과를 보임에도 불구하고 단순성에 기인하여 사용되는 것으로 판단된다. Bazin(1865)과 Varwick(1945)의 개수로 실험결과를 보면 Nikuradse(1933)의 원형관수로 실험결과와 마찬가지로 층류, 천이층류, 완난류, 천이난류, 전난류 등 다섯 가지의 흐름특성이 존재함을 알 수 있다. 또한, 개수로 마찰계수의 특성변화를 보면 조고 또는 조도가 증가함에 따라 마찰계수가 상향으로 평행 이동하는 것을 볼 수 있다. 실험결과로부터 확인되는 이러한 흐름 특성이 현장에서도 분명히 나타날 것으로 판단하며 이러한 가설에 근거하여 각 하천의 관측자료를 분석하였다. 유량조사사업단의 우리나라 3대강 유역 하천 관측자료(2006)를 레이놀즈수의 함수인 완난류 흐름으로 전제하고 물의 기본적인 성질과 하천의 경사, 수심, 조고 등의 영향을 고려한 무차원수를 도입하여 마찰계수의 2차적인 분포특성을 파악하고자 하였다. 하지만 관측된 자료로부터 무차원수를 도입하여 산정된 마찰계수분포를 보면 마찰계수가 급격히 증가하고 추정된 유속과 관측된 유속을 비교하면 추정된 유속이 산개되는 경향이 나타났다. 이러한 문제점은 유량관측시 관측지점의 수면경사 및 하상경사의 미관측으로 하천정비기본계획상에 제시된 지형으로부터 하상경사를 추정하여 마찰계수와 유속을 산정하였다. 또한 하천정비기본계획상에 제시된 Manning의 조도계수를 이용하여 Ganguillet&Kutter(1869) 산정식과 Manning(1889) 산정식으로 부터 유속을 산정한 결과 오차가 크게 발생한 것을 확인하였으며, 실제 관측자료에 적합하도록 조도계수를 재 산정하였다. 논문의 분량 제한상 분석과정은 추후 논문에 제시하기로 하고 분석결과와 수위관측에서의 문제점을 제시하였다.

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Relations between Physical and Mechanical Properties of Core Samples from the Bukpyeong and Pohang Basins (북평분지와 포항분지 시추코어의 물리적 성질과 역학적 성질간의 관계)

  • Kim, Hyunjin;Song, Insun;Chang, Chandong;Lee, Hikweon;Kim, Taehee
    • The Journal of Engineering Geology
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    • v.23 no.4
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    • pp.329-340
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    • 2013
  • A geologic survey of the Bukpyeong and Pohang basins, as candidate basins for the geological storage of $CO_2$, was performed to evaluate storage capacity and security. To analyze the mechanical stability of the storage reservoir and cap rocks, we measured the porosity, seismic velocity, uniaxial strength, internal frictional angle, and Young's modulus of core samples recovered from the two basins. It is costly and sometimes impossible to conduct tests over the entire range of drill holes, and continuous logging data do not yield the mechanical parameters directly. In this study, to derive the mechanical properties of geologic formations from the geophysical logging data, we determined the empirical relations between the physical properties (seismic velocity, porosity, and dynamic modulus) and the mechanical properties (uniaxial strength, internal friction angle) of the core samples. From the comparison with our core test data, the best fits to the two basins were selected from the relations suggested in previous studies. The relations between uniaxial strength, Young's modulus, and porosity of samples from the Bukpyeong and Pohang basins are more consistent with certain rock types than with the locality of the basins. The relations between the physical and mechanical properties were used to estimate the mechanical rock properties of geologic formations from seismic logging data. We expect that the mechanical properties could also be used as input data for a modeling study to understand the mechanical instability of rock formations prior to $CO_2$ injection.

A Study on Mineralogical and Basic Mechanical Properties of Fault Gouges in 16 Faults, Korea (국내 16개 단층대 단층비지의 광물학적 및 기초물성에 관한 연구)

  • Moon, Seong-Woo;Yun, Hyun-Seok;Choo, Chang Oh;Kim, Woo-Seok;Seo, Yong-Seok
    • Journal of the Mineralogical Society of Korea
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    • v.28 no.2
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    • pp.109-126
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    • 2015
  • Because fault gouge developed at the center of fault is recognized as one of the most important weak sites, it is evident that clay mineralogy and physical properties greatly affect the rock stability. The purpose of this study is to establish the relationship of mineralogy and physical factors that control rock stability in fault zones. We analyzed a total of 51 samples from 16 main faults which were selected from a Korea fracture map, using XRD, SEM, and physical analyses like unit weight, friction and cohesion properties. Though it is considered that the most common clay minerals comprising fault gouge are kaolinite, illite and smectite, clay mineralogy slightly varies depending on lithology: illite > smectite > kaolinite and chlorite in volcanic rocks, kaolinite and chlorite > illite > smectite in sedimentary rocks, and illite > smectite > kaolinite and chlorite in abundance, respectively. Friction angle decreases with increasing clay content. Cohesion increases with increasing clay content below the 45 % region while it decreases with increasing clay content at the region higher than 45%, with some scatters in the data. It is likely that these results are ascribed to the physical heterogeneity of fault gouges with varying content of different clay minerals.

Shear behavior at the interface between particle and non-crushing surface by using PFC (PFC를 이용한 입자와 비파쇄 평면과의 접촉면에서의 전단 거동)

  • Kim, Eun-Kyung;Lee, Jeong-Hark;Lee, Seok-Won
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.14 no.4
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    • pp.293-308
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    • 2012
  • The shear behavior at the particle/surface interface such as rock joint can determine the mechanical behavior of whole structure. Therefore, a fundamental understanding of the mechanisms governing its behavior and accurately estimation of the interface strength is essential. In this paper, PFC, a numerical analysis program of discrete element method was used to investigate the effects of the surface roughness on interface strength. The surface roughness was characterized by smooth, intermediate, and rough surface, respectively. In order to investigate the effects of particle shape and crushing on particle/surface interface behavior, one ball, clump, and cluster models were created and their results were compared. The shape of particle was characterized by circle, triangle, square, and rectangle, respectively. The results showed that as the surface roughness increases, interface strength and friction angle increase and the void ratio increases. The one ball model with smooth surface shows lower interface strength and friction angle than the clump model with irregular surface. In addition, a cluster model has less interface strength and friction angle than the clump model. The failure envelope of the cluster model shows non-linear characteristic. From these findings, it is verified that the surface roughness and particle shape effect on the particle/surface interface shear behavior.

Evaluation of at Rest Lateral Stress Coefficient Influenced by Particle Condition (입자의 조건에 따른 정지토압계수 평가)

  • Lee, Jung-Hwoon;Lee, Dong-Ryeol;Yun, Tae-Sup;Lee, Jun-Hwan
    • Journal of the Korean Geotechnical Society
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    • v.28 no.8
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    • pp.21-29
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    • 2012
  • At-rest lateral stress coefficient that is used for the evaluation of geotechnical structures such as foundations and retaining walls plays a significant role in the analysis and design, as a state variable of in-situ stress condition. In the widely applied Jaky's Ko equation stress condition can be inferred from the internal friction angle obtainable from the laboratory experimentation whereas the eguation mares it challenging to evaluate the influences and criteria of particle characteristics which is essential for the application of friction angles in practices. Thus, this study experimentally explored the behaviors of Ko depending on the relative density, particle shape, and surface roughness effect during a range of loading stages. The Ko values of Jumumjin sand, glass beads, and etched glass beads were measured using a customized Ko device housing strain gauges during loading-unloading-reloading steps, and the effect of dominant factors on Ko is analyzed. Results show that the high Ko prevails for both round and angular specimens with low relative density and the surface roughness has a nominal effect. The angular particles exhibit low Ko for specimens with similar relative density. The characteristics of relevance between Ko and friction angles with varying relative density are also investigated based on the experimental results using empirical correlations and previously reported values.

Analysis of Shear Properties from the Numerical Shear Test on Rock Joints with PFC2D (PFC2D를 이용한 암반 절리의 수치전단시험으로부터 전단 특성 분석)

  • Noh, Jeongdu;Kang, Seong-Seung
    • The Journal of Engineering Geology
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    • v.31 no.3
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    • pp.357-366
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    • 2021
  • Shear behavior dependent on the shape and roughness of rock joints can greatly influence the stability of the ground and rock structures. The efficient design of rock structures requires understanding of the shear behavior due to joints and accurate calculation of the shear strength. This work reports numerical shear tests using PFC2D on No. 1 (JCR-1), with smooth joints, and No. 7 (JRC-7) and No. 9 (JRC-9), with relatively rough joints, for the 10 shapes of standard joint profiles proposed by Barton and Choubey (1977). The aim was to investigate the shear behavior of rock joints with respect to their roughness. The results show the maximum shear stress to be about 3.2 to 5.0 times greater in the rougher JRC-7 and JRC-9 joints than in smoother JRC-1. The maximum shear displacement was approximately 4.1 to 5.8 times greater at the first normal stress than at the second. The rougher joints showed friction angles of the rock joints that were approximately 1.8 to 3.9 times greater than that in the smooth joint. Overall, increasing the rock joint roughness increased the maximum shear stress and friction angle.

Analytical Formula for the Equivalent Mohr-Coulomb Strength Parameters Best-fitting the Generalized Hoek-Brown Criterion in an Arbitrary Range of Minor Principal Stress (임의 최소주응력 구간에서 일반화된 Hoek-Brown 파괴기준식을 최적 근사하는 등가 Mohr-Coulomb 강도정수 계산식)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.29 no.3
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    • pp.172-183
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    • 2019
  • The generalized Hoek-Brown (GHB) failure criterion developed by Hoek et al. (2002) is a nonlinear function which defines a stress condition at failure of rock mass. The relevant strength parameter values are systematically determined using the GSI value. Since GSI index is a value quantifying the condition of in-situ rock mass, the GHB criterion is a practical failure condition which can take into the consideration of in-situ rock mass quality. Considering that most rock mechanics engineers are familiar with the linear Mohr-Coulomb criterion and that many rock engineering softwares incorporate Mohr-Coulomb criterion, the equations for the equivalent friction angle and cohesion were also proposed along with the release of the GHB criterion. The proposed equations, however, fix the lower limit of the minor principal stress range, where the linear best-fitting is performed, with the tensile strength of the rock mass. Therefore, if the tensile stress is not expected in the domain of analysis, the calculated equivalent friction angle and cohesion based on the equations in Hoek et al. (2002) could be less accurate. In order to overcome this disadvantage of the existing equations for equivalent friction angle and cohesion, this study proposes the analytical formula which can calculate optimal equivalent friction angle and cohesion in any minor principal stress interval, and verified the accuracy of the derived formula.

Effect of Shear Rate on Strength of Non-cemented and Cemented Sand in Laboratory Testing (실내시험 시 재하속도가 미고결 및 고결 모래의 강도에 미치는 영향)

  • Moon, Hong Duk;Kim, Jeong Suk;Woo, Seung-Wook;Tran, Dong-Kiem-Lam;Park, Sung-Sik
    • Journal of the Korean Geotechnical Society
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    • v.37 no.11
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    • pp.23-36
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    • 2021
  • In this paper, the effect of shear rate on internal friction angle and unconfined compressive strength of non-cemented and cemented sand was investigated. A dry Jumunjin sand was prepared at loose, medium, and dense conditions with a relative density of 40, 60 and 80%. Then, series of direct shear tests were conducted at shear rates of 0.32, 0.64, and 2.54 mm/min. In addition, a cemented sand with cement ratio of 8% and 12% was compacted into a cylindrical specimen with 50 mm in diameter and 100 mm in height. Unconfined compression tests on the cemented sand were performed with various shear rates such as 0.1, 0.5, 1, 5 and 10%/min. Regardless of a degree of cementation, the unconfined compressive strength of the cemented sand and the angle of internal friction of the non-cemented sand tended to increase as the shear rate increased. For the non-cemented sand, the angle of internal friction increased by 4° at maximum as the shear rate increased. The unconfined compressive strength of the cemented sand also increased as the shear rate increased. However, its increasing pattern declined after the standard shear rate (1 mm/min). A discrete element method was also used to analyze the crack initiation and its development for the cemented sand with shear rate. Numerical results of unconfined compressive strength and failure pattern were similar to the experimental results.

A Study on Friction Characteristics of Backfill Material for Heat Transport Pipeline (열 수송관로 되메움재의 마찰 특성에 관한 연구)

  • Kim, You-Seong;Park, Young-Jun;Cho, Dae-Seong;Bhang, In-Hwang
    • Journal of the Korean Geosynthetics Society
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    • v.12 no.1
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    • pp.73-81
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    • 2013
  • The objective of this paper is to minimize installation length of pipeline and to reduce burial depth for construction by increasing the friction coefficient caused by the interface between backfill material and pipeline. And then, the sufficient friction coefficient shortens the length of expansion joint pipe and gives the life extension of expansion joint absorber for efficient procedure regarding maintenance and administration of construction. The backfill material which is developed in this study has larger and smaller friction angle than that of conventional backfill material (river sand). The backfill material with tire powder provides low friction angle at curved section when pipe diameter increases in size (38% reduction at pipe diameter in 900 mm). When using backfill material with river sand and fly-ash, the mixture mixed with 1.5% fly-ash has 30% and that with 3% fly-ash has 50% reduction effect for minimum installation length of expansion joint pipe.

A Study on Complement of the Design and Analysis Procedures of Friction Pendulum System (마찰진자형 면진받침의 설계 및 해석절차 보완에 관한 연구)

  • Kim, Hyun-Uk;Joo, Kwang-Ho;Noh, Sang-Hoon;Song, Jong-Keol
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.1
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    • pp.488-494
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    • 2014
  • Although friction pendulum system has various advantages it is difficult to estimate the behavior because of velocity, bearing pressure, and temperature dependent characteristics of coefficient of friction. This research focuses on evaluating the conservatism of each method used and the effects of bearing pressure on the behavior of the system by conducting comprehensive examination on design and analytic procedure of friction pendulum system, as is proposed in standard, code and literature. In addition, this study provides comparative analysis on general behavior characteristics of friction pendulum system by comparing the result with that of the analysis on lead rubber bearing which possesses the same dynamic properties.