• 제목/요약/키워드: crack width analysis

검색결과 203건 처리시간 0.028초

치아파절에 관한 3차원유한요소법적 연구 (A STUDY ON TOOTH FRACTURE WITH THREE DIMENSIONAL FINITE ELEMENT METHOD)

  • 조병훈;엄정문
    • Restorative Dentistry and Endodontics
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    • 제18권2호
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    • pp.291-316
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    • 1993
  • Restorative procedures can lead to tooth fracture due to the relatively small amount of the remaining tooth structure. It is essential to prevent fractures by having a clear concept of the designs for cavity preparations. Among the several parameters in cavity designs, profound understanding of isthmus width factor would facilitate selection of the appropriate cavity preparation for a specific clinical situation. In this study, MO amalgam cavity were prepared on maxillary first premolar and filled with amalgam. Three dimensional, model with 1365 8-node brick elements was made by serial photographic method. In this model, isthmus was varied in width at 1/4, 1/3, 1/2 and 2/3 of intercuspal width and material properties were given for three element groups, i.e., enamel, dentin and amalgam. A load of 500 N was applied vertically on amalgam and enamel. In case of enamel loading, 2 model (with and without amalgam) was compared to consider the possibility of play at the interface between tooth material and amalgam. These models were analyzed with three dimensional finite element method. The results were as follows: 1. The stress was concentrated on the facio-pulpal line angle and distal marginal ridge of the cavity. 2. With the increase of the isthmus width, the stress spread around the facio-pulpal line angle and the area of stress concentration moved toward the proximal box. 3. In case of narrow isthmus width, the initiation point of crack would be in the area of isthmus corner of the cavity, and with the increase of the isthmus width, it would move toward the proximal box and at the same time the possibility of crack increase at the distal marginal ridge. 4. The direction of crack progressed outward and downward from the facio-pulpal line angle, and with the increase of the isthmus width, it approximated vertical direction. At the marginal ridge, it occurred in vertical direction. 5. It would be favorable to make the isthmus width narrower than a third of the intercuspal width, and to cover the cusp if isthmus width were wider than half of the intercuspal width. 6. It is necessary to apply the possibility of play to the finite element analysis.

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Experimental study on rock-coal-rock composite structure with different crack characteristics

  • Li, Tan;Chen, Guangbo;Li, Qinghai
    • Geomechanics and Engineering
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    • 제29권4호
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    • pp.377-390
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    • 2022
  • The stability of the roof rock-coal pillar-floor rock composite structure is of great significance to coal mine safety production. The cracks existing in the composite structure seriously affect the stability of the roof rock-coal pillar-floor rock composite structure. The numerical simulation tests of rock-coal-rock composite structures with different crack characteristics were carried out to reveal the composite structures' mechanical properties and failure mechanisms. The test results show that the rock-coal-rock composite structure's peak stress and elastic modulus are directly proportional to the crack angle and inversely proportional to the crack length. The smaller the crack angle, the more branch cracks produced near the main control crack in the rock-coal-rock composite structure, and the larger the angle between the main control crack and the crack. The smaller the crack length, the larger the width of the crack zone. The impact energy index of the rock-coal-rock composite structure decreases first and then increases with the increase of crack length and increases with the increase of crack angle. The functional relationships between the different crack characteristics, peak stress, and impact energy index are determined based on the sensitivity analysis. The determination of the functional relationship can fully grasp the influence of the crack angle and the crack length on the peak stress and impact energy index of the coal-rock composite structure. The research results can provide a theoretical basis and guidance for preventing the instability and failure of the coal pillar-roof composite structure.

층간분리된 복합적층판의 에너지 방출률에 관한 연구 (A Study on the Energy Release Rate of Delaminated Composite Laminates)

  • 정성균
    • 한국자동차공학회논문집
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    • 제3권1호
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    • pp.97-107
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    • 1995
  • Global postbuckling analysis is accomplished for one-dimensional and two-dimensional delaminations. A new finite element model, which can be used to model the global postbuckling analysis of one-dimensional and two-dimensional delaminations, is presented. In order to calculate the strain energy release rate, geometrically nonlinear analysis is accomplished, and the incremental crack closure technique is introduced. To check the effectiveness of the finite element models and the incremental crack closure technique, the simplified closed-form sloution for a through-the-width delamination with plane strain condition is derived and compared with the finite element result. The finite element results show good agreement with the closed-foul1 solutions. The present method was extended to calculate the strain energy release rate for two-dimensional delamination. For a symmetric circular delamination, the strain energy release rate shows great variation along the delamination front. and the delamination growth appears to occur perpendicular to the loading direction.

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합성섬유보강 콘크리트 보의 균열 후 거동 예측 (Realistic Prediction of Post-Cracking Behaviour in Synthetic Fiber Reinforced Concrete Beams)

  • 오병환;김지철;박대균;원종필
    • 콘크리트학회논문집
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    • 제14권6호
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    • pp.900-909
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    • 2002
  • 섬유는 콘크리트의 취약점인 인장 및 균열저항성을 증가시켜 그 효용성을 크게 한다. 그러나, 섬유의 균열저항성을 합리적으로 예측하기 위해서는 균열후의 거동예측기법이 정립되어야 한다. 따라서, 본 연구의 목적은 최근 들어 개발되고 있는 구조용 합성섬유 보강콘크리트의 균열후 거동(Post-Cracking Behavior)을 예측하기 위한 해석기법을 제시하는데 있다. 이를 위하여 합성섬유 보강 콘크리트 보의 균열단면해석에 있어서, 우선적으로 균열단면을 강체운동으로 가정하고, 균열폭(crack width) 및 균열면에 대해 기울기 90$^{\circ}$ 인 단일섬유의 인발실험(pullout test)에 의한 인발 하중(pullout load)과 변위(slip)의 관계를 이용하여 개개 섬유의 균열이후 거동을 묘사하였다. 또한 실제 섬유의 매립방향과 매립길이의 다양성을 확률적으로 고려하여 균열면에서의 유효섬유개수를 산정한 뒤에 FRC 보의 휨거동해석을 수행하였고, FRC 보 실험을 시행한 결과와 비교한 결과 잘 일치하는 것으로 나타났다. 본 해석결과로부터 하중-처짐 곡선, 모멘트-곡률 곡선 등을 도출할 수 있으며, 본 연구의 모델은 일정수준의 균열 저항성 또는 인성지수(toughness performance)를 얻기 위한 섬유의 기하형상을 개발하는데 유용한 방법으로 사용될 수 있다. 또한 평균응답, 파괴모드의 운동학으로 표현된 이 모델은 FRC 보 실험 결과들을 유사하게 예측할 수 있기 때문에 앞으로 섬유보강콘크리트 부재의 합리적인 설계 및 해석에 효율적으로 활용될 수 있을 것으로 사료된다.

경계요소법에 의한 등분포인장과 굽힘을 받는 유한폭 판재의 혼합 모드 표면균열에 대한 해석 (Analysis of mixed mode surface crack in finite-width plate subjected to uniform tension and bending by boundary element method)

  • 박성완;홍재학
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1592-1602
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    • 1990
  • 본 연구에서는 최근에 주목되고 급속한 발전을 이루고 있으며 요소분할이 표 면만으로 가능하고 3차원해석에서도 데이터의 준비가 용이할 뿐만 아니라 탄성문제 특 히 균열문제의 해석에서 우수한 결과를 나타내는 경계요소법(boundary element metho- d)을 도입하여 무한영역에 대한 해석해인 Kelvin해를 기본해(fundamental solution)로 하고, 기본해에 대한 성질을 파악하여 3차원 경계요소법에 의한 선형파괴역학의 수치 해석용 프로그램을 개발해서 유한판재에 존재하는 표면균열의 응력확대 계수(Stress Intensity Factor : SIF) 값을 계산 및 비교 검토하고, 나아가서 혼합 모드(mode I+mode II)표면균열로 확장시켜 문제가 되고 있는 유한판재내의 표면균열 확장시켜 문 제가 되고 있는 유한판재내의 표면균열 결함평가의 해석에 유용한 응력확대 계수의 해 를 얻는 것을 목적으로 한다.

역학적-경험적 콘크리트 포장 줄눈간격 설계방법 개발 (Development of Mechanistic-empirical Joint Spacing Design Method for Concrete Pavements)

  • 박주영;홍동성;임진선;정진훈
    • 한국도로학회논문집
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    • 제13권4호
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    • pp.51-59
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    • 2011
  • 온도와 습도 변화에 의해 수축될 경우 콘크리트 포장 슬래브에는 인장응력이 생기고 이로 인해 무작위 균열이 발생한다. 일정한 간격으로 줄눈을 설치하고 균열을 유도함으로써 슬래브에 발생하는 인장응력을 줄이고 무작위 균열을 최소화할 수 있다.줄눈간격이 너무 넓으면 무작위 균열, 줄눈부 파손, 하중전달률 저하가 일어나고, 반대로 줄눈간격이 너무 좁으면 공사비 증가와 승차감 저하가 유발된다. 본 연구에서는 콘크리트 포장의 역학적-경험적 줄눈간격 설계방법을 개발하였다. 이를 위하여 우수한 공용성을 보이는 콘크리트 포장 구간 중 구조적 및 환경적으로 가장 취약한 구간을 찾고 그 구간에 대한 유한요소해석으로 설계기준강도를 결정하였다. 기존 연구결과를 참고하여 하중전달률이 급격히 낮아질 때의 줄눈폭을 허용줄눈폭으로 결정하였다. 유한요소해석으로 계산된 설계대상구간의 최대인장응력이 설계기준강도를 초과하지 않는 최대줄눈간격을 찾아냈다. 그리고 이 줄눈간격으로 예측된 최대줄눈폭을 허용줄눈폭과 비교하였다. 본 연구에서 개발된 방법을 설계 중인 함양-울산 고속도로의 두 공구에 적용해 보았다. 기존보다 넓은 8.0m의 줄눈간격으로 시험시공된 구간과 동일한 줄눈간격이 본 연구의 설계방법으로 계산되었다. 공용 6년 후 측정된 시험시공 구간의 매우 낮은 균열률로 본 연구에서 개발된 설계방법이 검증되었다.

보강된 세로리브에 의한 강바닥판교의 응력변화 연구 (A Study on Structural Analysis of Reinforced Longitudinal Rib in Orthotropic Steel Deck Bridge)

  • 공병승;김민호
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2007년도 추계학술대회 논문집
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    • pp.468-475
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    • 2007
  • The Steel deck a structural analysis in head plate form change the objective bridge which it sells it accomplished a detailed structural analysis from the research which it sees and Bulk-head plate it accomplished. The length rib where the fatigue crack which is considerable generally occurs, width rib connection department and the length rib side, the width rib side it compares principal stress in the object and it does to sleep. It applied the grudge element model which it describes consequently after words and a load and a boundary condition and it executed it compared a static test and principal stress. It grasped the stress conduct of the The Steel deck petal which it follows in hand weaving rib affix location and the affix location to sleep in order to analyze a same location Bulk-head the head and comparison considered. From the detailed section which is reinforced with the stress investigation result hand weaving rib of the location which is weak in structural analysis result fatigue crack of form star reinforcement details basic form and Bulk-head the form which is reinforced with the head plate compared to principal stress investigation hour it is judged at the section which separates most.

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철근콘크리트 부재의 균열 후 강성 이론 (Theoretical Stiffness of Cracked Reinforced Concrete Elements)

  • 김장훈
    • 콘크리트학회논문집
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    • 제11권5호
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    • pp.79-88
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    • 1999
  • The purpose of this paper is to develop a mathematical expression for computing crack angles based on reinforcement volumes in the longitudinal and transverse directions, member end-fixity and length-to-width aspect ratio. For this a reinforced concrete beam-column element is assumed to possess a series of potential crack planes represented by a number of differential truss elements. Depending on the boundary condition, a constant angle truss or a variable angle truss is employed to model the cracked structural concrete member. The truss models are then analyzed using the virtual work method of analysis to relate forces and deformations. Rigorous and simplified solution schemes are presented. An equation to estimate the theoretical crack angle is derived by considering the energy minimization on the virtual work done over both the shear and flexural components the energy minimization on the virtual work done over both the shear and flexural components of truss models. The crack angle in this study is defined as the steepest one among fan-shaped angles measured from the longitudinal axis of the member to the diagonal crack. The theoretical crack angle predictions are validated against experimentally observed crack angle reported by previous researchers in the literature. Good agreement between theory and experiment is obtained.

Prediction of chloride diffusion coefficient of concrete under flexural cyclic load

  • Tran, Van Mien;Stitmannaithum, Boonchai;Nawa, Toyoharu
    • Computers and Concrete
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    • 제8권3호
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    • pp.343-355
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    • 2011
  • This paper presented the model to predict the chloride diffusion coefficient in tension zone of plain concrete under flexural cyclic load. The fictitious crack based analytical model was used together with the stress degradation law in cracked zone to predict crack growth of plain concrete beams under flexural cyclic load. Then, under cyclic load, the chloride diffusion, in the steady state and one dimensional regime, through the tension zone of the plain concrete beam, in which microcracks were formed by a large number of cycles, was simulated with assumptions of continuously straight crack and uniform-size crack. The numerical analysis in terms of the chloride diffusion coefficient, $D_{tot}$, normalized $D_{tot}$, crack width and crack length was issued as a function of the load cycle, N, and load level, SR. The nonlinear model as regarding with the chloride diffusion coefficient in tension zone and the load level was proposed. According to this model, the chloride diffusion increases with increasing load level. The predictions using model fit well with experimental data when we adopted suitable crack density and tortuosity parameter.

시편 형상에 따른 복합재료의 모재균열 신호특성 (Characteristics of AE Signals of Matrix Cracks in Composites Due to the Different Specimen Shapes)

  • 방형준;박상욱;김천곤;홍창선
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 춘계학술발표대회 논문집
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    • pp.39-43
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    • 2002
  • As the concept of the smart structure, monitoring of acoustic emission (AE) can be applied to inspect the fracture of the entire structure in operating condition using built-in sensors. The objective of this study is to find the characteristics of matrix crack signals in composites due to the different specimen shapes. To detect matrix crack signals, we performed tensile tests by changing the thickness, width and length of the specimen. For the quantitative evaluation, time frequency analysis such as short-time Fourier transform (STFT) was used to characterize the matrix crack signals from PZT sensor. The experimental result shows the distinctive signal features in frequency domain due to the different specimen shapes.

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