• Title/Summary/Keyword: 파괴조건식

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Numerical modeling of brittle failure of the overstressed rock mass around deep tunnel (심부 터널 주변 과응력 암반의 취성파괴 수치모델링)

  • Lee, Kun-Chai;Moon, Hyun-Koo
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.18 no.5
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    • pp.469-485
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    • 2016
  • The failure of rock mass around deep tunnel, different from shallow tunnel largely affected by discontinuities, is dominated by magnitudes and directions of stresses, and the failures dominated by stresses can be divided into ductile and brittle features according to the conditions of stresses and the characteristics of rock mass. It is important to know the range and the depth of the V-shaped notch type failure resulted from the brittle failure, such as spalling, slabbing and rock burst, because they are the main factors for the design of excavation and support of deep tunnels. The main features of brittle failure are that it consists of cohesion loss and friction mobilization according to the stress condition, and is progressive. In this paper, a three-dimensional numerical model has been developed in order to simulate the brittle behavior of rock mass around deep tunnel by introducing the bi-linear failure envelope cut off, elastic-elastoplastic coupling and gradual spread of elastoplastic regions. By performing a series of numerical analyses, it is shown that the depths of failure estimated by this model coincide with an empirical relation from a case study.

Study on Reaction Rate of the Non-Explosive Demolition Agent (비폭성 파쇄재의 반응률 특성에 관한 연구)

  • ;Huipeng Ba
    • Tunnel and Underground Space
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    • v.4 no.2
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    • pp.87-91
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    • 1994
  • 팽창재와 같은 비촉성 파쇄재는 화약발파와 비교하여 볼 때 진동을 유발하지 않는다는 면에서 인접한 구조물에 영향을 주지 않고 암반을 파괴할 수 있는 장점을 갖고 있다. 비폭성 파괴방법으로 유압식 암석분할기도 팽창재와 유사한 적용성을 갖고 있으나 힘을 작용시킬수 있는 천공깊이에 제약을 갖고 있으며 규모가 큰 암반의 파괴 방법으로는 적용한계가 있다. 반면에 팽창재는 천공깊이에 큰 제약을 받지 않으며 천공수에 제한을 받지 않는다는 장점이 있다. 그러나 팽창재의 현장적용시 가장 큰 단점의 하나로 지적되고 있는 것은 파괴력을 나타내기까지의 시간이 오래 걸림으로 작업능률에 문제가 있다는 것이다. 반응시간은 물과 팽창재와의 반응률과 밀접한 관계를 갖고 있으며 본 논문에서는 팽창재의 적용성을 높이기 위하여 실시한 여러 조건하에서 팽창재 반응률 특성에 관한 연구내용을 기술한다. 연구결과를 요약하면 다음과 같다. 1)팽창재의 반응은 주위온도에 큰 영향을 받는다. 2) 팽창재의 성능을 충분히 발휘하기 위하여는 주위 온도 조건에 따라 천공직경을 적절히 조절하는 것이 필요하다. 3) 낮은 주위 온도 조건에서 팽창재의 반응은 압력이 증가하는 시간이 느리고 따라서 최대 팽창압이 높은 온도 조건에 비해서 낮게 나타난다. 4)팽창압이 증가하는 시간은 팽창재와 물과의 반응률에 좌우된다.

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Prediction of Strength for Transversely Isotopic Rock Based on Critical Plane Approach (임계면법을 이용한 횡등방성 암석의 강도 예측)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.17 no.2 s.67
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    • pp.119-127
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    • 2007
  • Based on the critical plane approach, a methodology far predicting the anisotropic strength ot transversely isotropic rock is Proposed. It is assumed that the rock failure is governed by Hoek-Brown failure criterion. In order to establish an anisotropic failure function, Mohr envelope equivalent to the original Hoek-Brown criterion is used and the strength parameters m, s are expressed as scalar functions of orientation. The conjugate gradient method, which is one of the robust optimization techniques, is applied to the failure function for searching the orientation giving the maximum value of the anisotropic function. While most of the existing anisotropic strength models can be applied only when the stress condition is the same as that of conventional triaxial compression test, the proposed model can be applied to the general 3-dimensional stress conditions. Through the simulation of triaxial compression tests for transversely isotropic rock sample, the validity of the proposed method is investigated by comparing the predicted triaxial strengths and inclinations of failure plane.

Analysis of Empirical Failure Criteria and Suggestion of New Equation for Intact Rocks (경험적 파괴조건식의 해석과 새로운 수식의 제안)

  • Park, Chul-Whan
    • Tunnel and Underground Space
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    • v.6 no.3
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    • pp.234-238
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    • 1996
  • Three empirical criteria of rock failure are analyzed in order to understand the meaning of coefficients. Transformation of equations is discussed to apply in the numerical analysis. New failure criterion for intact rocks is proposed in this study, which can be used directly in programming. New equation has the form of parabolic curve($\alpha$=0.5~1.0), and is based on Mohr's shear failure using data from triaxial tests. Its validity will be discussed in the next report.

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Fracture Analysis of Notched Laminated Composites using Cohesive Zone Modeling (응집영역 모델링 기법을 사용한 노치가 있는 적층복합재료의 파괴해석)

  • Woo, Kyeongsik;Cairns, Douglas S.
    • Composites Research
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    • v.30 no.2
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    • pp.149-157
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    • 2017
  • In this paper, fracture behavior of laminated composites with notch was studied by cohesive zone modeling approach. The numerical modeling proceeded by first generating 3 dimensional solid element meshes for notched laminated composite coupon configurations. Then cohesive elements representing failure modes of fiber fracture, matrix cracking and delamination were inserted between bulk elements in all regions where the corresponding failures were likely to occur. Next, progressive failure analyses were performed simulating uniaxial tensile tests. The numerical results were compared to those by experiment available in the literature for verification of the analysis approach. Finally, notched laminated composite configurations with selected stacking sequences were analyzed and the failure behavior was carefully examined focusing on the failure initiation and progression and the dominating failure modes.

방파제케슨에 사용하는 신형식 푸팅구조의 역학적 특성과 구조해석

  • 한국어항협회
    • 어항어장
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    • s.2
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    • pp.86-127
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    • 1988
  • 버트리스 푸팅 케슨(Buttress footing caisson) 및 상형 푸팅 케슨의 역학특성을 해명하고 구조설계법을 검토할 목적으로 재하실험을 실시했다. 재하실험에는 배근의 제약등을 고려해서 실구조물의 1/4정도의 대형모형공시체를 사용해서 푸팅부를 중심으로 해석하기위해 푸팅에 선분포하중을 재하했다. 유한요소법에 따른 선형구조해석을 실시하여 변위, 단면력과 한계상황설계법에서의 산정식에서 얻어진 단면내력과를 비교하여 동설계법의 케슨구조물에 대한 적용성에 관하여 고찰했다. 이 보고로써 얻어진 주요한 결론은 아래와 같다. (1) 재하실험에 의하면 버트리스 푸팅공시체의 파괴형식은 버트리스부의 철근에 연한 부착할열파괴였다. 또 상형푸팅공시체에서는 푸팅부의 내면전단파괴였다. 양구조물을 설계할 때는 종래의 면외력만의 검토뿐아니라 면내력도 적절히 평가할 필요가 있다. (2) 양공시체 함께 푸팅 케슨본체와의 접합부 및 푸팅과 상자옆쪽의 벽과의 접합부에 변형이 일어나 종래의 판구조설계에서 가정하고 있는 판주변의 고정조건이 만족되지 않았다. 따라서 케슨구조물의 구조해석에서 구조전체계를 취급할 필요가 있고 부재단위에서는 단면력을 과대 또는 과소로 산정할 우려가 있다. (3) 철근강복시정도까지는 구조전체계를 모델화한 유한요소법에 의한 선형구조해석결과와 실험결과가 잘 일치했다. (4) 한계상태설계법에서의 굽음내력, 전단내력 및 구열폭의 산정식은 실험결과와 비교해서 어느쪽이나 안전측의 치를 부여했다.

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Centriofuge Model Tests on Excavation Depth-Time-Displacement of Unpropped Diaphragm Walls (Diaphragm Wall에서 굴착깊이-시간-변위에 관한 원심모형실험)

  • Lee, Cheo-Keun;Aan, Kwang-Kuk;Heo, Yol
    • Journal of the Korean Geotechnical Society
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    • v.16 no.5
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    • pp.179-191
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    • 2000
  • 본 연구에서는 화강토 지반상의 자립식 diaphragm wall의 거동을 연구하기 위하여 벽체의 근입깊이비, 지하수위 및 굴착조건(연속 및 단계굴착)을 변화시키면서 원심모형시럼을 수행하였다. 원심모형실험시 지반굴착은 흙과 동일한 밀도로 혼합된 zine chloride 용액이 배수되도록 밸브를 조작하여 실시하였으며, 굴착에 의해 발생되는 지반의 변형괴 벽체의 변위 및 휨모멘트를 시간경과에 따라 측정하였다. 실험결과, 벽체의 근입깊이비가 증가함에 따라 벽체의 휨모멘트는 증가하는 반면, 굴착과정동안 배면측에서의 간극수압 감소속도는 감소하였다. 최종 굴착단계에서 굴착후 시간경과에 따른 침하량은 굴착과정중의 침하?에 비해 5~7% 정도를 나타내었다. 최대표면침하량과 벽체변위를 굴착깊이로 정규화한 결과 최대 침하량은 벽체 변위량의 0.8~1.2배9평균0.91배)사이에 분포하였다. 굴착깊이로 전규화한 벽체변위와 근입깊이와의 관계는 지수함수식으로 제안하였다. 파괴면은 직선적인 형태로 파괴면내의 배면측 지반은 벽체를 향하여 하향의 변위를 일으키면서 벽체의 회전에 의해 파괴되었으며, 퐈괴면의 각도는 66~72.5$^{\circ}$정도로 이론적인 파괴면의 각도보다 크게 평가되었다.

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Intermediate Principal Stress Dependency in Strength of Transversely Isotropic Mohr-Coulomb Rock (평면이방성 Mohr-Coulomb 암석 강도의 중간주응력 의존성)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.23 no.5
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    • pp.383-391
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    • 2013
  • A number of true triaxial tests on rock samples have been conducted since the late 1960 and their results strongly suggest that the intermediate principal stress has a considerable effect on rock strength. Based on these experimental evidence, various 3-D rock failure criteria accounting for the effect of the intermediate principal stress have been proposed. Most of the 3-D failure criteria, however, are focused on the phenomenological description of the rock strength from the true triaxial tests, so that the associated strength parameters have little physical meaning. In order to confirm the likelihood that the intermediate principal stress dependency of rock strength is related to the presence of weak planes and their distribution to the preferred orientation, true triaxial tests are simulated with the transversely isotropic rock model. The conventional Mohr-Coulomb criterion is extended to its anisotropic version by incorporating the concept of microstructure tensor. With the anisotropic Mohr-Coulomb criterion, the critical plane approach is applied to calculate the strength of the transversely isotropic rock model and the orientation of the fracture plane. This investigation hints that the spatial distribution of microstructural planes with respect to the principal stress triad is closely related to the intermediate principal stress dependency of rock strength.

Optimum Structural Design of Stiffened Cylinders Based on Reliability Analysis (신뢰성 해석에 기초한 보강된 실린더 부재의 최적구조설계)

  • Joo-Sung,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.4
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    • pp.67-71
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    • 1990
  • This study is concerned with the optimum design of stiffened cylindrical members frequently found in floating offshore platforms with constraints on reliability. Minimised is the expected total cost which is composed of the structural cost and the expected failure cost. Some design requirements drawn from variotus design codes are also considered as constraints. Reliability of critical component in a structure only is considered in this paper and the system failure is discarded since the probability of system failure is in general much smaller than the probability of component failure and it is very difficult to evaluate the cost due to system failure. Ultimate strength only is considered and not the fatigue strength. Several parametric studies are illustrated and the optimum solutions for different strength models which are now in use for the design of stiffened cylinders are derived to show the optimum designs against different strength models for the same type of structural component. The present results lead to the important conclusions relating to the posibility of more cost saving in the design of such structure through the reliability-based optimisation process.

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Influence of the Initiation Error of the Delay Detonator on the Rock Fracture Process in Smooth Blasting (SB발파에서 지발뇌관의 기폭초시오차가 암반파괴과정에 미치는 영향)

  • 조상호;양형식;금자승비고
    • Tunnel and Underground Space
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    • v.14 no.2
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    • pp.121-132
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    • 2004
  • Dynamic fracture processes of rock were analyzed to investigate the influence of the initiation error of the delay detonator in smooth blasting. The analysis models for the smooth blasting considered two blast geometries with three charge holes, and the simultaneous initiations without initiation error, with the initiation error of electronic delay detonator and with the initiation error of pyrotechnically delay detonator(DS detonator) were applied to the charge holes. In order to examine the effect of electronic and DS initiation detonator on the smooth blasting, the fracture process results were analyzed statistically.