• 제목/요약/키워드: branching angle

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Fatigue Crack Retardation and Retardation Mechanism in Variable Loading (The Effects of Crack Tip Branching in Crack Growth Retardation)

  • Song, Sam-Hong;Kwon, Yun-Ki
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권3호
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    • pp.76-81
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    • 2002
  • In order to study the fatigue crack and retardation mechanism in variable loading, the effects of crack tip branching in crack growth retardation were examined. The characteristics of crack tip branching behavior were considered with respect to microstructure and crack tip branching angle was examined. Crack tip branching was observed along the grain boundary of finite and pearlite structure. It was found that the branching angle ranges from 25 to 53 degrees. Using the finite element method, the variable of crack driving farce to branching angle was examined. The effective crack driving farce (K$\_$eff/) decreased as the branching angle increased. The rate of decrease was 33% for kinked type and 29% for forked one. It was confirmed that the effect of crack tip branching is a very important factor in crack growth retardation. Therefore, crack branching effect should be considered in building the hypothetical model to predict crack growth retardation.

한국 잔디의 포복경 생장과 분지에 관한 연구 (The Study on the Growth and Branching of Stolon in Korean Lawn(Zoysia japonica Steud.))

  • 김용진;장남기
    • 아시안잔디학회지
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    • 제11권2호
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    • pp.117-124
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    • 1997
  • This study was carried out to investigate the growth and branching pattern of stolons at Korean lawn(Zoysia japonica Steud.) in the field condition. The results were summarized as follows ; 1.About 80% of observed lawns had one primary stolon. Among the lawns with several primary stolons, 30% of them had two primary stolons, 63% had three, and 7% had four. 2.The angles between the primary stolon and the shoot were increased from 0˚ to 52˚ according to the node order from the terminal shoot apex, and reached maximum angle at the 7th node. 3.The internode length was the longest in the middle position of stolon, and its growing rate which depends on months was increased from May to September. 4.The branching angles between primary and secondary stolon were from 44˚ to 53˚ in each node. The average left branching angle was about 48.20, right branching angle 47.8˚, and the total average branching angle was 48.00. 5.The rate of initial brabch was the highest at the 10th node in May, the 7th node in July and the 5th node in September. But, the initial branching rate at the 7th node in July was higher than any other that at the 10th node in May and the 5th node in September. 6.The distribution rate of secondary stolon in each node of primary stolon was the highest at the 7th node. 7.when the terminal shoot apex of primary stolon was damaged mechanically, the branching rate at the first node after the damaged region was highly increased to 62%. The results of this study may be suggested that the secondary stolon begins to branch with the angle of 480 from the 7th node of the normal primary stolon, and those may be used as a basic data for the branching simulation in lawn.

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변동하중하에서의 피로크랙 지연현상과 지연기구에 관한 연구 - 균열성장 지연현상에 미치는 균열 가지의 영향 - (A Study on Fatigue Crack Retardation and Retardation Mechanism in Variable Loading)

  • 송삼홍;권윤기
    • 한국정밀공학회지
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    • 제14권6호
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    • pp.83-89
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    • 1997
  • In order to study on fatigue crack retardation and retardation mechanism in variable loading, the effects of crack tip branching in fatigue crack growth retardation were examined. The characteristics of crack tip banching behavior was considered to micro structure. It was examined that the variation of crack tip branching angle. Crack tip branching was observed along the grain boundary of ferrite and pearlite structure. It was found that the abanching angle ranges from 25 to 53 degrees. Using the finite element method, the variable of crack driving force to branching angle was examined. The effective crack driving force ( $K_{\eff}$ ) decreased as the braching angle increases. The rate of decrease was 33% for the kinked type and 29% for the forked one. It was confirmed that the effect of crack tip branching is a very important factor in fatigue crack growth retardation. Therefore, crack branching effect should be considered building the hypoth- etical model to predict crack growth retardation.

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균열가지 효과를 고려한 균열 성장 지연 거동 예측 (변동하중하에서의 피로거동) (The Prediction of Crack Growth Retardation Behavior by Crack Tip Branching Effects (Fatigue Behavior in variable Loading Condition))

  • 권윤기
    • 한국생산제조학회지
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    • 제8권2호
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    • pp.126-136
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    • 1999
  • We studied on crack growth retardation in single overloading condition. Crack tip branching which as the second mechanism on crack growth retardation was examined. Crack tip branching was observed to kinked type and forked type. It was found that the branching angle range was from 25 to 53 degree. The variations of crack driving force with branching angle were calculated with finite element method The variation of {{{{ KAPPA _I}}}}, {{{{ KAPPA _II}}}} and total crack driving force(K) were examined respectively So {{{{ KAPPA _I}}}}, {{{{ KAPPA _II}}}} and K mean to mode I, II and total crack driving force. Present model(Willenborg's model) for crack growth retardation prediction was modified to take into consideration the effects of crack tip branching When we predicted retardation with modified model. it was confirmed that predicted and experimental results coincided with well each other.

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메탈로센 선형 저밀도 폴티에틸렌의 결정화 거동 (Crystallization Characteristics of Metallocene Low Density Polyethylene)

  • 김경룡;한정우;조봉규;강호종
    • 폴리머
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    • 제25권6호
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    • pp.833-839
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    • 2001
  • 광산란 장치를 이용하여 메탈로센 촉매 하에 제조된 메탈로센 선형 저밀도 폴리에틸렌의 결정화거동을 Ziegler-Natta 촉매에 의하여 제조된 선형 저밀도 폴리에틸렌과 비교하여 보았다. 특히 branching수와 길이 그리고 공단량체의 함량이 결정화 거동에 미치는 영향을 중점적으로 살펴보았다. 같은 수의 branching 수를 가지고 있는 메탈로센 선형 저밀도 폴리에틸렌은 기존의 선형 저밀도 폴리에틸렌에 비하여 결정화를 시작하기 위한 induction time이 길어짐을 알 수 있으나 구정의 성장속도는 두 경우가 유사함을 확인하였다. 메탈로센 선형 저밀도 폴리에틸렌의 branching 수를 감소시킬 경우 induction time과 구정성장속도가 모두 빨라짐을 알 수 있었다. 또한 일반적으로 최대 구정의 크기는 branching 수에 관계없이 메탈로센 선형 저밀도 폴리에틸렌이 기존의 선형 저밀도 폴리에틸렌에 비하여 커짐을 알 수 있었다.

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페리다이나믹스 해석법을 통한 동적취성 파괴거동해석: 분기 균열각도와 균열 전파속도 (Dynamic Brittle Fracture Captured with Peridynamics: Crack Branching Angle & Crack Propagation Speed)

  • 하윤도;조선호
    • 한국전산구조공학회논문집
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    • 제24권6호
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    • pp.637-643
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    • 2011
  • 본 논문에서는 결합 기반 페리다이나믹스 해석법을 사용하여 동적취성 파괴시뮬레이션을 수행하였다. 페리다이나믹스 모델은 분기 균열, 균열 불안정성, 균열 경로의 비대칭성, 연쇄 분기 균열, 2차 균열 전파 등 다양한 동적취성 파괴현상을 잘 해석해 낼 수 있다. 본 논문에서는 분기 균열의 분기 각도와 균열 전파속도에 대한 응력파의 영향에 대해 연구하였다. 극한 시점에 도달한 균열은 둘 이상으로 분기되어 전파되고 그 전파속도는 기존 균열의 전파속도와 크게 달라지지 않는다는 사실이 여러 실험을 통해서 입증이 되었다. 페리다이나믹스로 해석된 분기 균열은 실험을 통해 제안된 균열 전파현상들과 잘 부합되는 것을 확인할 수 있었다.

단일 과대하중에 의한 균열지연거동에 관한 연구 (A Study on Crack Retardation Behavior by Single Overload)

  • 송삼홍;권윤기
    • 대한기계학회논문집
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    • 제19권2호
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    • pp.451-462
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    • 1995
  • Single overload tests performed to examine the crack retardation behavior for the specimen thickness and overload ratios. Delayed crack length was tend to increase in small thickness and big overload ratio but was difference between delayed crack length and plastic zone size that expected in specimen thickness. So retardation behavior that estimated in plastic zone size, was not sufficient. Crack tip branching and striation distribution, secondary mechanisms that effected in retardation behavior, was examined by experiment and finite element analysis. Crack tip branching was affected by micro structure, and appeared the more complicatedly according to increasing damage by overload and decreasing crack driving force in base line stress level. And crack tip branching the branching angle decreased crack driving force in the crack tip. And a characteristic of the fractography on retardation zone was that striation distribution did not appear due to decreased crack driving force.

Peridynamic analysis of dynamic fracture behaviors in FGMs with different gradient directions

  • Kou, Miaomiao;Bi, Jing;Yuan, Binhang;Wang, Yunteng
    • Structural Engineering and Mechanics
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    • 제75권3호
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    • pp.339-356
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    • 2020
  • In this article, a developed bond-based peridynamic model for functionally graded materials (FGMs) is proposed to simulate the dynamic fracture behaviors in FGMs. In the developed bond-based peridynamic model for FGMs, bonds are categorized into three different types, including transverse directionally peridynamic bond, gradient directionally peridynamic bond and arbitrary directionally peridynamic bond, according to the geometrical relationship between directions of peridynamic bonds and gradient bonds in FGMs. The peridynamic micromodulus in the gradient directionally and arbitrary directionally peridynamic bonds can be determined using the weighted projection method. Firstly, the standard bond-based peridynamic simulations of crack propagation and branching in the homogeneous PMMA plate are performed for validations, and the results are in good agreement with the previous experimental observations and the previous phase-field numerical results. Then, the numerical study of crack initiation, propagation and branching in FGMs are conducted using the developed bond-based peridynamic model, and the influence of gradient direction on the dynamic fracture behaviors, such as crack patterns and crack tip propagation speed, in FGMs is systematically studied. Finally, numerical results reveal that crack branching in FGMs under dynamic loading conditions is easier to occur as the gradient angle decreases, which is measured by the gradient direction and direction of the initial crack.

광분배를 위한 Y-branch 제작과 광파이버와의 결합특성에 관한 연구 (A study on the fabrication of Y-branch for optical power distribution and its coupling properties with optical fiber)

  • 김상덕;박수봉;윤중현;이재규;김종빈
    • 한국통신학회논문지
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    • 제21권12호
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    • pp.3277-3285
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    • 1996
  • In this paper, w designed an opical power distribution device for application to an optical switching and an optical subscriber loop. We fabricated PSG thin film by LPCVD. Based on the measured index of fabricted thin film, rib-type waveguide was transformed to two-dimension by the effective index method and we simulated dispersion property to find asingle-mode condition. We found that the optimum design parameters of rib-type waveguide are:cladding layer of 3.mu.m, core layer of 3.mu.m, buffer layer of 10.mu.m, and core width of 4.mu.m. Each side of the guiding region was etched down to 4.mu.m to shape the core. We used these optimum parameters of the rib-type waveguide with branching angle of 0.5.deg. and simulted the Y-branch waveguide by the BPM simulation. Numerical loss in branching area was claculated to be 0.1581dB and equal to the total loss of the Y-branch. The loss of the fabricated Y-branch waveguide on PSG film ws 1.6dB at .lambda.=1.3.mu.m before annealing but was 1.2dB after annealing at 1000.deg. C for 10 minutes. Consequently, the loss of branching area from 3000.mu.m to 6000.mu.m in the z-direction was 0.8dB, and single-mode propagation was confirmed by measuring the near field pattern. For coupling the fabricated Y-branch waveguide with an optical fiber, we fabricated V-groove which was used as the upholder of optical fiber. An etching angle was 54.deg. and the width and depth of guiding groove was 150.mu.m, 70.mu.m, respectively. The optical fiber is inserted onto V-groove. Both the Y-branch and V-groove were connected through the index matching oil. Coupling loss after connecting Y-branch and the optical fiber on V-groove was 0.34dB and that after injecting index mateching oil was 0.14dB.

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