• Structural Engineering and Mechanics
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• 제85권3호
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• pp.337-351
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• 2023

In this paper, the shear behavior of soft filling in rectangular-hollow concrete specimens was simulated using the 2D particle flow code (PFC2D). The laboratory-measured properties were used to calibrate some PFC2D micro-properties for modeling the behavior of geo-materials. The dimensions of prepared and modeled samples were 100 mm×100 mm. Some disc type narrow bands were removed from the central part of the model and different lengths of bridge areas (i.e., the distance between internal tips of two joints) with lengths of 30 mm, 50 mm, and 70 mm were produced. Then, the middle of the rectangular hollow was filled with cement material. Three filling sizes with dimensions of 5 mm×5 mm, 10 mm×5 mm, and 15 mm×5 mm were provided for different modeled samples. The parallel bond model was used to calibrate and re-produce these modeled specimens. Therefore, totally, 9 different types of samples were designed for the shear tests in PFC2D. The shear load was gradually applied to the model under a constant loading condition of 3 MPa (σc/3). The loading was continued till shear failure occur in the modeled concrete specimens. It has been shown that both tensile and shear cracks may occur in the fillings. The shear cracks mainly initiated from the crack (joint) tips and coalesced with another one. The shear displacements and shear strengths were both increased as the filling dimensions increased (for the case of a bridge area with a particular fixed length).

• 터널과지하공간
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• 제15권2호
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• pp.119-128
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• 2005

절리 암반의 역학적 물성 및 거동 평가가 터널 및 지하구조물의 설계에 매우 중요하다 할지라도, 그것은 항상 매우 어려운 문제로 간주되어 왔다. 암반 거동을 모사하는데 있어서 어려움중의 하나는 적절한 구성 모델을 선정하는 것이다. 이러한 한계점은 PFC와 같이 사용자로 하여금 암반의 구성 모델을 요구하지 않는 개별요소 프로그램의 개발과 함께 극복되어질 것이다. 본 연구에서는 도로터널 현장의 30\;m\;\times\;30\;m\;\times\;30\;m 절리 암반블록을 대상으로, 시추 및 지표 지질조사를 통해 얻어진 절리의 기하학적 형태자료를 근거로 개별균열망이 작성되었다. 개별균열망 모델의 절리 형상을 근거로 절리가 없는 상태에서 점차적으로 절리군을 추가해가면서 2차원 PFC모델이 만들어졌다. 또한 각각의 PFC모델에 대한 수치모사를 통하여 각 모델의 응력-변형율 곡선이 얻어졌다. 응력-변형율 곡선으로부터 절리 암반의 역학적 물성이 결정되었다. 절리의 존재는 암반의 역학적 물성에 상당한 영향을 미쳤으며, 더욱 중요한 것은 PFC모델의 역학적 거동은 기존의 수치모델에서 요구되는 구성 모델에 의하여 결정되지 않는다는 것이다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
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• pp.159-169
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• 2008

In general, it is considered that a pillar between closely-spaced tunnel is sensitive for stress concentration. Stability of a pillar is key factor for excavation of closely-spaced tunnel. In this paper, the study is focused on tracing the behaviors, displacement and plotting damages around tunnels that is modelled with Particle Flow Code, $PFC^{2D}$. Parametric study was performed with changing distance between center of tunnels and coefficient of earth pressure(K). Scaled-model tests were also carried out to validate a numerical analysis model. It was found that $PFC^{2D}$ could show dynamic visualized result in quite good agreement with the experimental test.

• Structural Engineering and Mechanics
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• 제67권5호
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• pp.505-516
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• 2018

In this paper, the effects of particle size and model scale of concrete has been investigated on the failure mechanism of PFC2D numerical models under uniaxial compressive test. For this purpose, rectangular models with same particle sizes and different model dimensions, i.e., $3mm{\times}6mm$, $6mm{\times}12mm$, $12mm{\times}24mm$, $25mm{\times}50mm$ and $54mm{\times}108mm$, were prepared. Also rectangular models with dimension of $54mm{\times}108mm$ and different particle sizes, i.e., 0.27 mm, 0.47 mm, 0.67 mm, 0.87 mm, 1.07 mm, 1.87 mm and 2.27 mm were simulated using PFC2D and tested under uniaxial compressive test. Concurrent with uniaxial test, direct shear test was performed on the numerical models. Dimension of the models were $75{\times}100mm$. Two narrow bands of particles with dimension of $37.5mm{\times}20mm$ were removed from upper and lower of the model to supply the shear test condition. The particle sizes in the models were 0.47 mm, 0.57 mm, 0.67 mm and 0.77 mm. The result shows that failure pattern was affected by model scale and particle size. The uniaxial compressive strength and shear strength were increased by increasing the model scale and particle size.

• Geomechanics and Engineering
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• 제13권6호
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• pp.1045-1055
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• 2017

Tensile strength is considered key properties for characterizing rock material in engineering project. It is determined by direct and indirect methods. Point load test is a useful testing method to estimate the tensile strengths of rocks. In this paper, the effects of rock shape on the point load index of gypsum are investigated by PFC2D simulation. For PFC simulating, initially calibration of PFC was performed with respect to the Brazilian experimental data to ensure the conformity of the simulated numerical models response. In second step, nineteen models with different shape were prepared and tested under point load test. According to the obtained results, as the size of the models increases, the point load strength index increases. It is also found that the shape of particles has no major effect on its tensile strength. Our findings show that the dominant failure pattern for numerical models is breaking the model into two pieces. Also a criterion was rendered numerically for determination of tensile strength of gypsum. The proposed criteria were cross checked with the results of experimental point load test.

• 한국암반공학회:학술대회논문집
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• 한국암반공학회 2009년도 학술발표회 논문집
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• pp.73-82
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• 2009

터널외곽에 적용하는 지발뇌관의 시차 정밀도 차이가 터널의 여굴 형성에 어떠한 영향을 미치는가를 알아보기 위하여 Particle Flow Code 2D (PFC2D)라는 개별요소법을 기반으로 하여 개발된 상용프로그램(Itasca CG, 2004)을 사용하여 분석하였다. 그 결과 시차 정밀도가 정확하면 정확하지 않은 것보다 모암의 손상 및 여굴이 감소하는 것으로 나타났다.

• Computers and Concrete
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• 제33권6호
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• pp.659-670
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• 2024

The mechanical behaviour of layered concrete samples containing an internal crack was numerically studied by modelling the geo-mechanical specimens in the particle flow code in two dimensions (PFC2D). The numerical modelling software was calibrated with the experimental results of the Brazilian tensile strengths gained from the laboratory disc-type specimens. Then, the samples with the bedding layers and internal notch were numerically simulated with PFC2D under uniaxial compressive loading. In each specimen, the layers' thickness was 10 mm but the layer's inclination angle was changed to 0°, 30°, 60°, 90°, 120° and 150°. Of course, the layers'interfaces are considered to have very low strengths. The internal notch was kept at 3 cm in length however, its inclination angle was changed to 0°, 40°, 60° and 90°. Therefore, a total, of 24 numerical models were made to study the failure mechanism of the layered concrete samples. Considering these results, it has been concluded that the inclination angles of both internal crack and bedding layers affect the failure mechanism and uniaxial compressive strength of the concrete.

• 지질공학
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• 제31권3호
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• pp.357-366
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• 2021

암석의 절리면 거칠기 형상에 따른 전단거동은 지반 및 암반 구조물 안정성에 큰 영향을 미칠 수 있다. 암반 구조물에 대한 설계를 효율적으로 하기 위해서는 절리에 의한 전단거동을 이해하고 정확하게 전단강도를 산정하는 것이 필요하다. 이 연구에서는 암석 절리면 거칠기의 전단거동을 알아보기 위해 Barton and Choubey(1977)가 제안한 10가지 형태의 표준 절리 프로파일 중 절리면 거칠기가 매끄러운 1번(JRC-1)과 거칠기 비교적 큰 7번(JRC-7)과 9번(JRC-9)에 대해 PFC2D를 이용한 수치전단시험을 수행하였다. 그 결과 최대 전단응력은 절리면의 거칠기 진폭이 큰 JRC-7과 JRC-9가 매끈한 JRC-1보다 약 3.2~5.0배 크게 나타났다. 최대 전단변위는 첫 번째 수직응력일 때가 두 번째일 때보다 약 4.1~5.8배 크게 나타났다. 절리면 마찰각은 절리면의 거칠기 진폭이 큰 JRC-7과 JRC-9가 매끈한 JRC-1보다 약 1.8~3.9배 크게 나타났다. 결론적으로 절리면의 거칠기가 커질수록 최대 전단응력과 절리면 마찰각은 증가하는 것으로 나타났다.

• 화약ㆍ발파
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• 제23권1호
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• pp.47-54
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• 2005

본 연구에서는 $PFC^{3D}$를 사용하여 시멘트 모르타르와 굵은 골재로 이루어진 콘크리트 기둥의 발파과정에서 나타나는 폭발과 파괴현상을 모사하여 보았다. 폭원모델링 과정에서는 공내입자들의 반경을 팽창/수축시키는 기법을 통해 공벽입자들에 접촉력의 형태로 폭발압력을 부여하는 방법을 사용하였다. 현장 발파실험에서는 철근콘크리트 기둥을 대상으로 초안폭약을 사용하여 발파하고 그 파괴거동을 고속카메라를 이용하여 관찰하였다. 모사과정에서는 철근의 규격과 입자요소의 크기에 따른 해석시간을 고려하여 모르타르와 굵은 골재로 이루어진 콘크리트 기둥을 대상으로 제안된 폭원모델링 기법을 적용하여 해석을 실시하였다. 해석결과 나타난 저항선의 이동속도는 $17\~24\;m/s$로서 실험치 $14\~18\; m/s$를 약간 상회하고 있으나 제안된 폭원모델링 기법을 사용한다면 암석이나 기타 재료들에 대한 발파과정에서 나타는 파괴거동을 수치적으로 보다 유사하게 모사할 수 있을 것으로 판단된다.

• Smart Structures and Systems
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• 제25권4호
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• pp.433-446
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• 2020

In this paper the effect of confining pressure and tunnel depth on the ground vertical settlement has been investigated using particle flow code (PFC2D). For this perpuse firstly calibration of PFC2D was performed using both of tensile test and triaxial test. Then a model with dimention of 100 m × 100 m was built. A circular tunnel with diameter of 20 m was drillled in the middle of the model. Also, a rectangular tunnel with wide of 10 m and length of 20 m was drilled in the model. The center of tunnel was situated 15 m, 20 m, 25 m, 30 m, 35 m, 40 m, 45 m, 50 m, 55 m and 60 m below the ground surface. these models are under confining pressure of 0.001 GPa, 0.005 GPa, 0.01 GPa, 0.03 GPa, 0.05 GPa and 0.07 GPa. The results show that the volume of colapce zone is constant by increasing the distance between ground surface and tunnel position. Also, the volume of colapce zone was increased by decreasing of confining pressure. The maximum of settlement occurs at the top of the tunnel roof. The maximum of settlement occurs when center of tunnel was situated 15 m below the ground surface. The settlement decreases by increasing the distance between tunnel center line and measuring circles in the ground surface. The minimum of settlement occurs when center of circular tunnel was situated 60 m below the surface ground. Its to be note that the settlement increase by decreasing the confining pressure.