• Title/Summary/Keyword: Fracture model

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파괴역학모델은 이용한 수압파쇄시험 결과의 해석에 관한 연구 (Analysis of Hydro-Fracturing Test Results Using a Mechanical Crack Model)

  • 최용근;배성호;박배한;이정인;전석원
    • 터널과지하공간
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    • 제11권3호
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    • pp.237-247
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    • 2001
  • 이 연구에서는 수압파쇄시험 결과의 해석에 대한 파괴역학모델의 적용성을 검토하기 위해 시험결과의 해석에 주로 이용되고 있는 탄성모델과 함게 파괴역학모델을 이론적으로 고찰하였으며, 국내에서 실시된 4개 현장의 측정결과를 이용하여 각 모델의 해석 결과를 비교·검토하였다. 파괴역학모델로부터 얻어진 해석 결과는 탄성모델에 의한 계산 값과 차이를 보였으며, 이러한 차이는 기존 균열의 길이가 작을수록 크게 나타났다. 파괴역학모델은 균열 길이의 판단이 가능한 경우와 같이 특수한 조건에 대해서만 적용이 가능할 것으로 판단된다. 암석의 인장강도는 파괴역학모델에 의한 값이 가장 크게 나타났으며, 압열인장시험, 탄성모델에 의한 값의 순서로 크게 나타났다. 이러한 현상은 시험규모에 따른 크기효과 때문이며, 따라서 수압파쇄시험의 탄성모델로부터 얻어진 암석의 인장강도는 현지암반의 인장강도를 추정할 때 이용될 수 있을 것으로 보인다.

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A smeared crack model for seismic failure analysis of concrete gravity dams considering fracture energy effects

  • Hariri-Ardebili, Mohammad Amin;Seyed-Kolbadi, Seyed Mahdi;Mirzabozorg, Hasan
    • Structural Engineering and Mechanics
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    • 제48권1호
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    • pp.17-39
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    • 2013
  • In the present paper, a coaxial rotating smeared crack model is proposed for mass concrete in three-dimensional space. The model is capable of applying both the constant and variable shear transfer coefficients in the cracking process. The model considers an advanced yield function for concrete failure under both static and dynamic loadings and calculates cracking or crushing of concrete taking into account the fracture energy effects. The model was utilized on Koyna Dam using finite element technique. Dam-water and dam-foundation interactions were considered in dynamic analysis. The behavior of dam was studied for different shear transfer coefficients considering/neglecting fracture energy effects. The results were extracted at crest displacement and crack profile within the dam body. The results show the importance of both shear transfer coefficient and the fracture energy in seismic analysis of concrete dams under high hydrostatic pressure.

A fractal fracture model and application to concrete with different aggregate sizes and loading rates

  • Chang, Kug Kwan;Xi, Yunping;Roh, Y.S.
    • Structural Engineering and Mechanics
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    • 제23권2호
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    • pp.147-161
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    • 2006
  • Recent developments in fractal theory suggest that fractal may provide a more realistic representation of characteristics of cementitious materials. In this paper, the roughness of fracture surfaces in cementitious material has been characterized by fractal theory. A systematic experimental investigation was carried out to examine the dependency of fracture parameters on the aggregate sizes as well as the loading rates. Three maximum aggregate sizes (4.76 mm, 12.7 mm, and 19.1 mm) and two loading rates (slow and fast loading rate) were used. A total of 25 compression tests and 25 tension tests were performed. All fracture parameters exhibited an increase, to varying degrees, when aggregates were added to the mortar matrix. The fracture surfaces of the specimens were digitized and analyzed. Results of the fractal analysis suggested that concrete fracture surfaces exhibit fractal characteristics, and the fractal geometry provide a useful tool for characterizing nonlinear fracture behavior of concrete. Fractal dimension D was monotonically increased as maximum aggregate sizes increase. A new fractal fracture model was developed which considers the size and shape of aggregate, and the crack paths in the constituent phases. Detailed analyses were given for four different types of fracture paths. The fractal fracture model can estimate fractal dimension for multiphase composites.

불연속 파쇄모델을 이용한 파쇄 매질에서의 지하수 유동 시뮬레이션 (Simulation of Groundwater Flow in Fractured Porous Media using a Discrete Fracture Model)

  • 박유철;이강근
    • 자원환경지질
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    • 제28권5호
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    • pp.503-512
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    • 1995
  • 2차원 불연속 절리 모델 (Discrete Fracture Model)을 사용하여 절리망 내에서 지하수 흐름을 시뮬레이션하였다. 불연속 절리 모델에서는 지하수가 오직 절리망을 통해서 흐른다고 가정한다. 이와 같은 분석은 결정질암 같이 지질 매체의 투수율이 매우 낮은 경우에 유용하다. 하지만 불연속 절리망을 완벽하게 구현하는 것이 불가능하므로, 이에 접근하는 방법으로 확률 통계적 모델이 제안되었다. 확률-통계적 모텔은 특성인자(밀도, 방향, 길이, 틈새두께 등)가 특별한 분포 유형을 갖는다고 가정한다. 확률-통계적 모델은 가정된 분포를 따르도록 특성인자를 생성한다. 이 후 본 모델을 통해 분석된 몇몇 특성인자를 가지고 절리망을 생성한다. 절리망을 생성한 이 후 지하수의 유통을 계산하기 위해 유한요소법을 적용하였다. 이 때 일차원 선요소가 유한요소망의 주요 요소이다. 시뮬레이션 결과는 절리망 내의 주요 흐름 경로를 통해 보여진다. 절리망 내의 지하수 속도를 비교하여 주요 흐름 경로를 찾아낸다. 본 연구에서 개발된 모델은 절리망 내의 지하수 흐름에 특성인자들이 미치는 영향을 평가할 수 있는 방법을 제공한다. 이를 위하여 30번의 생성을 하는 몬테카를로 시뮬레이션을 통해서 여러 특성 인자들이 지하수 흐름에 미치는 영향을 평가하였다.

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응집영역모델을 이용한 다공질 재료의 파괴 거동 연구 (Analysis for Fracture Characteristics of Porous Materials by using Cohesive Zone Models)

  • 최승현;하상렬;김기태
    • 대한기계학회논문집A
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    • 제33권6호
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    • pp.552-559
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    • 2009
  • The effect of porosity on the crack propagation is studied by using the cohesive zone model. Standard mode I fracture test were done by using compact tension specimens with various porosities. Load-load line displacement curves and ${\delta}_5$-crack resistance curves for various porosities were obtained from experiments. The cohesive zone model proposed by Xu and Needleman was employed to describe the crack propagation in porous media, and the Gurson model is used for constitutive relation of porous materials. These models were implemented into user subroutines of a finite element program ABAQUS. The fracture mode changes from ductile fracture to brittle fracture as the porosity increases. Numerical calculations agree well with experimental results.

경계요소법에 의한 콘크리트 원통형관의 파괴해석 (Fracture Analysis of Concrete Cylinder by Boundary Element Method)

  • 송하원;전재홍;변근주
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1995년도 가을 학술발표회 논문집
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    • pp.171-177
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    • 1995
  • Fracture mechanics does work for concrete, provided that one uses a proper, nonlinear form of fracture mechanics in which a finite nonlinear zone at fracture front is being considered. The fracture process zone is a region ahead of a traction-free crack, and the development of model of fracture process zone is most important to describe fracture phenomena in concrete. This paper is about fracture behavior of concrete cylinder under lateral pressure. Concrete cylinders were made of high strength normal connote, steel fiber reinforced concrete and steel fiber reinforced polymer-impregnated concrete and concrete and the fracture behavior such as cracking propagation and ultimate load are observed. The fracture process zone is modelled by a Dugdale-Barenblatt type model with linear tension-softening curve and are implemented to the boundary element technique for the fracture analyses of the cylinders. The experimental results are compared with analysis results and tension-softening curves for the steel fiber reinforced concrete and steel fiber reinforced polymer-impregnated concrete are obtained by back analyses.

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임계응력 하 거친 암석 균열의 Thermoshearing 수치모델링: 국제공동연구 DECOVALEX-2023 Task G (Numerical Modeling of Thermoshearing in Critically Stressed Rough Rock Fracture: DECOVALEX-2023 Task G)

  • 박정욱;박찬희;장리;윤정석;손장윤;이창수
    • 터널과지하공간
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    • 제33권3호
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    • pp.189-207
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    • 2023
  • In the present study, the thermoshearing experiment on a rough rock fracture were modeled using a three-dimensional grain-based distinct element model (GBDEM). The experiment was conducted by the Korea Institute of Construction Technology to investigate the progressive shear failure of fracture under the influence of thermal stress in a critical stress state. The numerical model employs an assembly of multiple polyhedral grains and their interfaces to represent the rock sample, and calculates the coupled thermo-mechanical behavior of the grains (blocks) and the interfaces (contacts) using 3DEC, a DEM code. The primary focus was on simulating the temperature evolution, generation of thermal stress, and shear and normal displacements of the fracture. Two fracture models, namely the mated fracture model and the unmated fracture model, were constructed based on the degree of surface matedness, and their respective behaviors were compared and analyzed. By leveraging the advantage of the DEM, the contact area between the fracture surfaces was continuously monitored during the simulation, enabling an examination of its influence on shear behavior. The numerical results demonstrated distinct differences depending on the degree of the surface matedness at the initial stage. In the mated fracture model, where the surfaces were in almost full contact, the characteristic stages of peak stress and residual stress commonly observed in shear behavior of natural rock joints were reasonably replicated, despite exhibiting discrepancies with the experimental results. The analysis of contact area variation over time confirmed that our numerical model effectively simulated the abrupt normal dilation and shear slip, stress softening phenomenon, and transition to the residual state that occur during the peak stress stage. The unmated fracture model, which closely resembled the experimental specimen, showed qualitative agreement with the experimental observations, including heat transfer characteristics, the progressive shear failure process induced by heating, and the increase in thermal stress. However, there were some mismatches between the numerical and experimental results regarding the onset of fracture slip and the magnitudes of fracture stress and displacement. This research was conducted as part of DECOVALEX-2023 Task G, and we expect the numerical model to be enhanced through continued collaboration with other research teams and validated in further studies.

3D finite element simulation of human proximal femoral fracture under quasi-static load

  • Hambli, Ridha
    • Advances in biomechanics and applications
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    • 제1권1호
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    • pp.1-14
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    • 2014
  • In this paper, a simple and accurate finite element model coupled to quasi-brittle damage law able to describe the multiple cracks initiation and their progressive propagation is developed in order to predict the complete force-displacement curve and the fracture pattern of human proximal femur under quasi-static load. The motivation of this work was to propose a simple and practical FE model with a good compromise between complexity and accuracy of the simulation considering a limited number of model parameters that can predict proximal femur fracture more accurately and physically than the fracture criteria based models. Different damage laws for cortical and trabecular bone are proposed based on experimental results to describe the inelastic damage accumulation under the excessive load. When the damage parameter reaches its critical value inside an element of the mesh, its stiffness matrix is set to zero leading to the redistribution of the stress state in the vicinity of the fractured zone (crack initiation). Once a crack is initiated, the propagation direction is simulated by the propagation of the broken elements of the mesh. To illustrate the potential of the proposed approach, the left femur of a male (age 61) previously investigated by Keyak and Falkinstein, 2003 (Model B: male, age 61) was simulated till complete fracture under one-legged stance quasi-static load. The proposed finite element model leads to more realistic and precise results concerning the shape of the force-displacement curve (yielding and fracturing) and the profile of the fractured edge.

Fracture properties of concrete using damaged plasticity model -A parametric study

  • Kalyana Rama, J.S.;Chauhan, D.R.;Sivakumar, M.V.N;Vasan, A.;Murthy, A. Ramachandra
    • Structural Engineering and Mechanics
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    • 제64권1호
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    • pp.59-69
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    • 2017
  • The field of fracture mechanics has gained significance because of its ability to address the behaviour of cracks. Predicting the fracture properties of concrete based on experimental investigations is a challenge considering the quasi-brittle nature of concrete. So, there is a need for developing a standard numerical tool which predicts the fracture energy of concrete which is at par with experimental results. The present study is an attempt to evaluate the fracture energy and characteristic length for different grades of concrete using Concrete Damage Plasticity (CDP) model. Indian Standard and EUROCODE are used for the basic input parameters of concrete. Numerical evaluation is done using Finite Element Analysis Software ABAQUS/CAE. Hsu & Hsu and Saenz stress-strain models are adopted for the current study. Mesh sensitivity analysis is also carried to study the influence of type and size of elements on the overall accuracy of the solution. Different input parameters like dilatation angle, eccentricity are varied and their effect on fracture properties is addressed. The results indicated that the fracture properties of concrete for various grades can be accurately predicted without laboratory tests using CDP model.

A Study on Validation of Variable Aperture Channel Model: Migration Experiments of Conservative Tracer in Parallel and Wedge-Shaped Fracture

  • Keum, D.K.;Hahn, P.S.;Vandergraaf, T.T.
    • Nuclear Engineering and Technology
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    • 제30권3호
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    • pp.245-261
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    • 1998
  • In order to validate the variable aperture channel model that can deal with the non-uniform How rate in flow domain, migration experiments of conservative tracer were performed in two artificial fractures, a parallel and a wedge-shaped fracture. These different fracture shapes were designed to give different flow pattern. The fractures were made from a transparent acrylic plastic plate and a granite slab with dimensions of 10 $\times$ 61 $\times$ 61 cm. Uranine (Fluorescein sodium salt) was used as a conservative tracer. The volumetric flow rates of uranine feed solution were 30 mL/ hr, giving a mean residence time in the fracture of approximately 24 hours for the parallel fracture and 34 hours for the wedge-shaped fracture. The migration plumes of uranine were photographed to obtain profiles in space and time for movement of a tracer in fractures. The photographed migration plume was greatly affected by the geometric shape of fractures. The variable aperture channel model could have predicted the experimental results for the parallel fracture with a large accuracy. It is expected that the variable aperture channel model would be effective to predict the transport of the contaminant, especially, with the flow rate variation in a fracture.

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