• KCI Concrete Journal
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• 제14권1호
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• pp.30-35
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• 2002

The fractal geometry is a non-Euclidean geometry which describes the naturally irregular or fragmented shapes, so that it can be applied to fracture behavior of materials to investigate the fracture process. Fractal curves have a characteristic that represents a self-similarity as an invariant based on the fractal dimension. This fractal geometry was applied to the crack growth of cementitious composites in order to correlate the fracture behavior to microstructures of cementitious composites. The purpose of this study was to find relationships between fractal dimensions and fracture energy. Fracture test was carried out in order to investigate the fracture behavior of plain and fiber reinforced cement composites. The load-CMOD curve and fracture energy of the beams were observed under the three point loading system. The crack profiles were obtained by the image processing system. Box counting method was used to determine the fractal dimension, D$_{f}$. It was known that the linear correlation exists between fractal dimension and fracture energy of the cement composites. The implications of the fractal nature for the crack growth behavior on the fracture energy, G$_{f}$ is apparent.ent.

• 한국지하수토양환경학회:학술대회논문집
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• 한국지하수토양환경학회 2004년도 임시총회 및 추계학술발표회
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• pp.159-163
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• 2004

This study was conducted to calculate the permeability coefficient in a single fracture while taking the true fracture geometry into consideration. The fracture geometry was measured using the confocal laser scanning microscope (CLSM). The CLSM geometry data were used to reconstruct a fracture model for numerical analysis using a homogenization analysis (HA) method. The HA is a new type of perturbation theory developed to characterize the behavior of a micro-inhomogeneous material that involves periodic microstructures. The HA permeability was calculated based on the local geometry and local material properties (water viscosity in this case). The results show that the permeability coefficients do not follow the theoretical relationship of the cubic law.

• International Journal of Concrete Structures and Materials
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• 제19권1E호
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• pp.25-32
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• 2007

The fracture energy evaluated from the previous experimental results can be simulated by using the modified singular fracture process zone (S-FPZ) model. The fracture model has two fracture properties of strain energy release rate for crack extension and crack close stress versus crack width relationship $f_{ccs}(w)$ for fracture process zone (FPZ) development. The $f_{ccs}(w)$ relationship is not sensitive to specimen geometry and crack velocity. The fracture energy rate in the FPZ increases linearly with crack extension until the FPZ is fully developed. The fracture criterion of the strain energy release rate depends on specimen geometry and crack velocity as a function of crack extension. The behaviors of micro-cracking, micro-crack localization and full development of the FPZ in concrete can be explained theoretically with the variation of strain energy release rate with crack extension.

• 콘크리트학회논문집
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• 제13권2호
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• pp.146-152
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• 2001

프랙탈 기하는 재료의 파괴거동과 같은 자연계에 존재하는 불규칙한 현상을 비정수의 프랙탈 차원으로 정량화할 수 있다. 이런. 프랙탈 차원에 기초하면 프랙탈 도형은 도형의 일부를 확대하면 전체와 같아지는 자기상사성 특성을 지닌다. 프랙탈적 해석방법을 시멘트 복합체의 파괴시의 균열성장거동에 적용하여 복합체의 미세구조와 파괴거동과의 관계를 알아볼 수 있다. 본 연구의 목적은 시멘트 복합체의 파괴시 소산되는 에너지와 균열의 프랙탈 차원과의 관계를 알아보는데 있다. 시멘트 복합체의 파괴실험을 실시하여 파괴에너지를 측정한 후, 파괴시 형성된 균열형상의 프랙탈 차원을 박스계수법을 통해 산정하고 그 관계를 알아보았다. 실험결과 프랙탈 차원과 파괴에너지의 관계는 비례관계를 나타냈으며 파괴에너지에 대한 프랙탈 차원의 정량적 평가가 가능하다고 사료된다.

• Structural Engineering and Mechanics
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• 제76권6호
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• pp.725-736
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• 2020

In this work the mixed mode I/III fracture of sandstone has been studied experimentally and numerically. The experimental work used three-point bending specimens containing pre-existing cracks, machined at various inclination angles so as to achieve varying proportions of mode I to mode III loading. Dimensionless stress intensity factors were calculated using the extended finite element method (XFEM) for and compared with existing results from literature calculated using conventional finite element method. A total of 28 samples were used to conduct the fracture test with 4 specimens for each of 7 different inclination angles. The fracture load and the geometry of the fracture surface were obtained for different mode mixities. Prediction of the fracture loads and the geometry of the fracture surface were made using XFEM coupled with a cohesive zone model (CZM) and showed a good comparison with the experimental results.

• International Journal of Concrete Structures and Materials
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• 제18권3E호
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• pp.213-219
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• 2006

Modified singular fracture process zone(S-FPZ) model is proposed in this paper to determine a fracture criterion for continuous crack propagation in concrete. The investigated fracture properties of the proposed fracture model are strain energy release rate at a micro-crack tip and the relationship between crack closure stress(CCS) and crack opening displacement(COD) in the FPZ. The proposed model can simulate the actual fracture energy of experimental results fairly well. The results of the experimental data analysis show that specimen geometry and loading condition did not affect the CCS-COD relation. However, the strain energy release rate is a function of not only specimen geometry but also crack extension. The strain energy release rate remained constantly at the minimum value up to the crack extension of 25 mm, and then it increased linearly to the maximum value. The maximum fracture criterion occurred at the peak load for specimens of large size. The fracture criterion remained at the maximum value after the peak load. The variation of the fracture criterion is caused by micro-cracking and micro-crack localization. The fracture criterion of strain energy release rate can simply be the size effect of concrete fracture, and it can be used to quantify the micro-cracking and micro-crack localizing behavior of concrete.

• 터널과지하공간
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• 제29권4호
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• pp.230-242
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• 2019

신속한 암반 및 암석 균열 조사를 위해서는 자동화된 조사기법이 필요하다. 그러나 자동 조사기법의 균열 지도가 수동으로 조사한 것과 얼마나 일치하는지 표기하는 단일 지표가 없어서 그 정확도를 평가하는데 어려움이 있다. 따라서 본 연구에서는 균열 지도 간의 일치도를 단일 값으로 표현하는 조사선 교차 일치도 (Scanline Intersection Similarity, SIS)라는 지표를 새롭게 제안하였다. 제안된 지표는 두 균열 지도의 균열 빈도를 다수의 조사선 상에서 비교하여 이들 간의 기하학적 일치도를 도출한다. 해당 지표의 적용성을 검토하기 위해 컴퓨터 비전 (Computer Vision) 분야에서 널리 사용하는 일치도 지표인 Intersection Over Union (IoU)과 비교분석하였다. IoU는 균열의 미시적 형태 차이를 과대평가하는 반면에, 제안된 지표의 경우 미시적 형태 차이보다 경사와 같은 거시적 형태 차이를 더 민감하게 반영하였다. 따라서 균열의 거시적 형태가 중요한 암반 공학적 관점에서, 제안된 지표가 IoU 보다 균열 지도의 일치도 지표로써 적합하였다. 더 나아가 제안된 지표를 딥러닝(Deep Learning)을 이용한 균열 조사기법에 적용해본 결과, 해당 기법의 정확도가 조사선 교차 일치도로 0.674 임을 확인하였다.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2001년도 봄 학술발표회 논문집
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• pp.333-338
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• 2001

Fractal geometry is a non-Euclidean geometry which has been developed to quantitative analysis irregular or fractional shapes. Fractal dimension of irregular surface has fractal values ranging from 2 to 3 and of irregular line profile has fractal values ranging from 1 to 2. In this paper, quantitative analysis of crack growth patterns during the fracture processing of fiber-reinforced cement composites based on fractal geometry. The fracture behaviors of fiber reinforced mortar beams subjected to three-point loading in flexure. The beams all had a single notch depth, but varing volume fractions of polypropylene, cellulose fibers. The crack growth behaviors, as observed through the image processing system, and the box counting method was used to determine the fractal dimension, Df. The results showed that the linear correlation exists between fractal dimension and fracture energy of the fiber reinforced cement mortar.

• 한국가스학회지
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• 제25권1호
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• pp.20-29
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• 2021

투과성이 낮은 셰일층에서의 다단계 수압파쇄 시, 파쇄단계 간의 서로 근접한 균열로 인해 지층 간 응력간섭이 발생하는 '응력그림자효과'가 나타날 수 있다. 이로 인해 균열의 전파 방향성이 변화하거나 비정형적인 형태의 균열이 발생하게 된다. 본 연구에서는 응력그림자효과의 영향에 따른 수압파쇄 균열형태와 생산성을 분석하고자 상용 수압파쇄 시뮬레이터 full-3D모델인 'GOHFER'를 사용하였다. 균질한 저류층 모델에서 응력그림자효과 고려 유무에 따른 분석을 수행하였다. 또한 지력학적 물성이 다른 두 셰일층에서 수압파쇄 모델링을 수행하여 영률과 포아송비에 따른 응력그림자효과를 분석하였다. 선행 파쇄단계의 균열로 인한 응력변화는 최대/최소 주응력을 역전시켜 T-방향보다는 생산성이 미비한 L-방향 균열이 주로 형성되었다. 또한 Marcellus 셰일의 경우 연성 특성을 갖는 Eagle Ford 셰일에 비해 높은 취성으로 인해 균열의 폭이 더 두껍게 형성되어 균열 체적이 더욱 크게 산출되었다. Marcellus 셰일지층의 영률이 Eagle Ford 셰일에 비해 크게 낮기 때문에 stage 2에서 응력그림자효과의 영향을 적게 받는 것을 확인할 수 있었다. 이처럼 응력그림자효과는 균열 간의 간격 뿐만 아니라 지력학적 물성에 따라서도 크게 달라진다. 그러므로 좀 더 정확한 균열 형태와 현실성 있는 생산성 예측하기 위해 응력그림자효과는 고려되어야 한다.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2003년도 춘계학술대회 논문집
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• pp.1324-1327
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• 2003

The compressed fracture of spine caused by osteoporosis is one of the most frequent diseases in bone fracture. Recently the vertebroplasty has drawn much attention as a medical treatment for the compressed fracture of spine, which strengthens the vertebral body and corrects deformity, and relieves pain in patients by injecting bone cement. The finite element analysis is used to investigate the vertebroplasty quantitatively. Previous works with finite element analysis have drawbacks in their simplified models geometry of vertebral body and with material properties of bone. In this paper the exact geometry of vertebral body has been constructed from medical image data and the biomechanical property changes of vertebral body in vertebroplasty have been investigate by using three dimensional finite element analysis.