• 제목/요약/키워드: elastic rock

검색결과 346건 처리시간 0.028초

경계조건의 변화에 따른 전면접착형 록볼트 거동의 수치해석적 연구 (Numerical Study on the Behavior of Fully Grouted Rock Bolts with Different Boundary Conditions)

  • 이연규;송원경;박철환;최병희
    • 터널과지하공간
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    • 제20권4호
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    • pp.267-276
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    • 2010
  • 오늘날 전면접착형 록볼트는 암반공학 현장에서 주요 지보재로써 널리 이용되고 있다. 따라서 정밀한 록볼트 지보설계를 위해서는 록볼트의 지보거동 특성을 정확히 이해하는 것이 중요하다. 그 중요성에도 불구하고 아직까지도 전면접착형 록볼트의 지보력이 발휘되는 원리를 완전히 이해하지 못하고 있다. 지금까지 제시된 대부분의 해석적 모델들은 볼트의 경계조건을 단순화시켜 개발되었기 때문에 현장 록볼트의 지보거동을 이해하는 도구로 사용하기에는 적합하지 않다. 이 연구에서는 전면접착형 록볼트의 지보력 발휘 메카니즘을 이해하기 위하 여 3차원 탄성 유한요소해석을 실시하였다. 이를 통해 볼트 선단의 변위경계조건 변화, 암반탄성계수의 변화, 그리고 절리면의 교차가 록볼트의 전단응력 및 축응력 분포특성에 미치는 영향을 분석하였다. 해석결과는 볼트 선단의 고정판 설치 유무가 록볼트의 지보력 발휘 및 보강효과 증대에 큰 영향을 미치고 있음을 보여주었다.

Solution for surrounding rock of strain-softening considering confining pressure-dependent Young's modulus and nonlinear dilatancy

  • Liang, Peng;Gao, Yongtao;Zhou, Yu;Zhu, Chun;Sun, Yanhua
    • Geomechanics and Engineering
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    • 제22권4호
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    • pp.277-290
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    • 2020
  • This paper presents an elastic-plastic solution for the circular tunnel of elastic-strain softening behavior considering the pressure-dependent Young's modulus and the nonlinear dilatancy. The proposed solution is verified by the results of the field measuring and numerical simulation from a practical project, and a published closed-form analysis solution. The influence of each factor is discussed in detail, and the ability of Young's modulus and dilatancy characterizing the mechanical response of surrounding rock is investigated. It is found that, in low levels of support pressure, adopting the constant Young's modulus model will seriously misestimate the surrounding rock deformation. Using the constant dilatancy model will underestimate the surrounding rock deformation. When adopting the constant dilatancy model, as the dilation angle increases, the range of the plastic region increases, and the surrounding rock deformation weakens. When adopting the nonlinear dilatancy, the plastic region range and the surrounding rock deformation are the largest. The surrounding rock deformation using pressure-dependent Young's modulus model is between those resulted from two constant Young's modulus models. The constant α of pressuredependent Young's modulus model is the main factor affecting the tunnel displacement. The influence of α using a constant dilatancy model is much more apparent than that using a nonlinear dilatancy model.

Hoek-Brown 암석에서 발생된 탄성균열의 균질화 (Homogenization of Elastic Cracks in Hoek-Brown Rock)

  • 이연규;전석원
    • 터널과지하공간
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    • 제19권2호
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    • pp.158-166
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    • 2009
  • Hoek-Brown 암석에서 응력에 의해 발생되는 균열의 전파특성을 수치해석적으로 분석하기 위한 기초연구로서 탄성균열의 균질화 기법이 제안되었다. 균열의 개시조건으로 Hoek-Brown 경험식이 이용되었고, 균열의 방향 탐색을 위해 임계면법이 이용되었다. 균열물질과 무결암으로 구성된 대표체적에 대해 체적평균 응력 및 변형률 개념을 적용하여 균열과 신선암의 역학적 특성을 균질화시킴으로써 등가 이방성매질의 구성관계식을 유도하였다. 제안된 균질화모델을 포트란 코드로 작성하여 상업유한요소 코드인 COSMOSM에 이식하였다. 제안된 수치해석모델의 적합성을 검증하기 위하여 2차원 평면변형률조건에서 수치 일축압축시험을 실시하였다. 모델 상하부 가압면의 구속조건을 달리한 2가지 해석모델을 선정하여 구속조건이 일축압축시험편의 변형 및 파단면 형성형태에 미치는 영향이 분석되었다. 균열의 균질화를 고려한 수치 일축압축시험 결과는 실제 실험에서 발생되는 형태와 유사한 변형거동 및 파단면 형성 특성을 잘 나타내었다.

Estimation of tensile strength and moduli of a tension-compression bi-modular rock

  • Wei, Jiong;Zhou, Jingren;Song, Jae-Joon;Chen, Yulong;Kulatilake, Pinnaduwa H.S.W.
    • Geomechanics and Engineering
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    • 제24권4호
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    • pp.349-358
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    • 2021
  • The Brazilian test has been widely used to determine the indirect tensile strength of rock, concrete and other brittle materials. The basic assumption for the calculation formula of Brazilian tensile strength is that the elastic moduli of rock are the same both in tension and compression. However, the fact is that the elastic moduli in tension and compression of most rocks are different. Thus, the formula of Brazilian tensile strength under the assumption of isotropy is unreasonable. In the present study, we conducted Brazilian tests on flat disk-shaped rock specimens and attached strain gauges at the center of the disc to measure the strains of rock. A tension-compression bi-modular model is proposed to interpret the data of the Brazilian test. The relations between the principal strains, principal stresses and the ratio of the compressive modulus to tensile modulus at the disc center are established. Thus, the tensile and compressive moduli as well as the correct tensile strength can be estimated simultaneously by the new formulas. It is found that the tensile and compressive moduli obtained using these formulas were in well agreement with the values obtained from the direct tension and compression tests. The formulas deduced from the Brazilian test based on the assumption of isotropy overestimated the tensile strength and tensile modulus and underestimated the compressive modulus. This work provides a new methodology to estimate tensile strength and moduli of rock simultaneously considering tension-compression bi-modularity.

단일 현장타설말뚝 기초의 설계 및 시공 (Design and consturction of single drilled shaft foundation)

  • 전경수;김경석;김정열
    • 기술발표회
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    • 통권2006호
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    • pp.86-100
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    • 2006
  • The single drilled shaft foundation has been used in the other countries, but has not used in South Korea at all This foundation is very effective and economic method in South Korea which is easy to meet a good rock mass within 50m depth from the ground We have many experiences to construct 1.52 5m drilled shaft foundations and ability to construct 30m drilled shaft foundation without special efforts The soil behavior is nonlinear, but it can be proposed in linear in practical purpose on bridges. The elastic modulus of soil can be rationally obtained by the method of Road Bridge Design Manual in South Korea using the Schmertmann(1970)'s proposal, and the elastic modulus of rock can be obtained by the field test. In seismic design the column and drilled shaft must be restricted to the elastic design because the behavior of this foundation is flexible and the arrangement of the rebars makes the various defect In this paper the design criteria is compared with FHWA design criteria, and the design criteria is proposed in consistent with Road Bridge Design Manual in South Korea. The single drilled shaft foundation of a test bridge was constructed in the Iksan-Jangsoo highway, and we checked its stability, workability and economy

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The influence of initial stress on wave propagation and dynamic elastic coefficients

  • Li, Xibing;Tao, Ming
    • Geomechanics and Engineering
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    • 제8권3호
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    • pp.377-390
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    • 2015
  • The governing equations of wave propagation in one dimension of elastic continuum materials are investigated by taking the influence of the initial stress into account. After a short review of the theory of elastic wave propagation in a rock mass with an initial stress, results indicate that the initial stress differentially influences P-wave and S-wave propagation. For example, when the initial stress is homogeneous, for the P-wave, the initial stress only affects the magnitude of the elastic coefficients, but for the S-wave, the initial stress not only influences the elastic coefficients but also changes the governing equation of wave propagation. In addition, the P-wave and S-wave velocities were measured for granite samples at a low initial stress state; the results indicate that the seismic velocities increase with the initial stress. The analysis of the previous data of seismic velocities and elastic coefficients in rocks under ultra-high hydrostatic initial stress are also investigated.

단일 시편을 이용한 평면 이방성 암석의 탄성계수 결정 (Determination of Elastic Constants of Transversely Isotropic Rocks from a Single Test Specimen.)

  • 장보안;나광희;장명환
    • 터널과지하공간
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    • 제11권1호
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    • pp.72-78
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    • 2001
  • 평면 이방성 암석의 시추 코아를 이용하여 일회의 단축압축시험만으로 이방성 탄성계수를 구하는 방법이 김호영에 의하여 제시되었으나 실험을 통하여 검정한 결과, 한 방향의 포아송비 v$_2$만을 사용하여 탄성계수를 구하는 방법에 문제가 있음이 발견되었다. 본 연구에서는 두 가지의 포아송비, v$_{12}$와 v$_{21}$을 사용하여 이방성 탄성계수를 계산하는 식을 유도하였고, 이방성의 각이 30$^{\circ}$와 65$^{\circ}$인 2개의 시편에 대하여 이방성 탄성계수를 측정하였다. 이방성 탄성계수는 이방성의 각에 따라 다른 식을 사용하여야 되며, 이방성 각이 45$^{\circ}$이하인 경우 v$_{21}$을, 이방성 각이 45$^{\circ}$이상인 경우에는 v$_{12}$를 이용하여 탄성계수를 계산하여야 할 것으로 사료된다.

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A new formulation for calculation of longitudinal displacement profile (LDP) on the basis of rock mass quality

  • Rooh, Ali;Nejati, Hamid Reza;Goshtasbi, Kamran
    • Geomechanics and Engineering
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    • 제16권5호
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    • pp.539-545
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    • 2018
  • Longitudinal Displacement Profile (LDP) is an appropriate tool for determination of the displacement magnitude of the tunnel walls as a function of the distance to the tunnel face. Some useful formulations for calculation of LDP have been developed based on the monitoring data on site or by 3D numerical simulations. However, the presented equations are only based on the tunnel dimensions and for different quality of rock masses proposed a unique LDP. In the present study, it is tried to present a new formulation, for calculation of LDP, on the basis of Rock mass quality. For this purpose, a comprehensive numerical simulation program was developed to investigate the effect of rock mass quality on the LDP. Results of the numerical modelling were analyzed and the least square technique was used for fitting an appropriate curve on the derived data from the numerical simulations. The proposed formulation in the present study, is a logistic function and the constants of the logistic function were predicted by rock mass quality index (GSI). Results of this study revealed that, the LDP curves of the tunnel surrounded by rock masses with high quality (GSI>60) match together; because the rock mass deformation varies over an elastic range.

변형률과 탄성파를 이용한 암석 및 콘크리트 균열특성분석 (Analysis for the Crack Characteristics of Rock and Concrete using Strain and Elastic Wave)

  • 최영철;김진섭;박태진;김건영
    • 터널과지하공간
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    • 제27권5호
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    • pp.253-262
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    • 2017
  • 본 연구는 암석 및 콘크리트 시편의 압축실험을 통해 균열 특성을 분석하고자 한다. 길이의 변화를 측정하는 변형률센서와 균열에 의해 발생한 탄성파를 측정하는 AE 센서를 시편에 부착하여 동시 측정함으로써 실험을 수행하였다. 측정된 시편의 변형률로부터 계산된 균열체적변형률은 암석과 콘크리트 시편에서 다른 형상을 보여주고 있다. 이것은 재료의 취성정도에 따른 것으로 추측된다. 하지만, 파괴 및 손상도와 관계되어 있는 균열체적변형률은 두 개의 시편결과가 유사함을 관찰 할 수 있었다. 또한 AE 센서를 통해 측정한 시편의 누적 균열 신호에너지가 변형률센서로 예측한 균열체적변형률과 매우 유사한 것을 관찰할 수 있었다. 이것은 AE 센서로도 구조물의 손상없이 실시간으로 손상도를 예측할 수 있음을 의미한다.

A displacement solution for circular openings in an elastic-brittle-plastic rock

  • Huang, Houxu;Li, Jie;Rong, Xiaoli;Hao, Yiqing;Dong, Xin
    • Geomechanics and Engineering
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    • 제13권3호
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    • pp.489-504
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    • 2017
  • The localized shear and the slip lines are easily observed in elastic-brittle-plastic rock. After yielding, the strength of the brittle rock suddenly drops from the peak value to the residual value, and there are slip lines which divide the macro rock into numbers of elements. There are slippages of elements along the slip lines and the displacement field in the plastic region is discontinuous. With some restraints, the discontinuities can be described by the combination of two smooth functions, one is for the meaning of averaging the original function, and the other is for characterizing the breaks of the original function. The slip lines around the circular opening in the plastic region of an isotropic H-B rock which subjected to a hydrostatic in situ stress can be described by the logarithmic spirals. After failure, the deformation mechanism of the plastic region is mainly attributed to the slippage, and a slippage parameter is introduced. A new analytical solution is presented for the plane strain analysis of displacements around circular openings. The displacements obtained by using the new solution are found to be well coincide with the exact solutions from the published sources.